METHOD AND GONIORADIOMETER FOR THE DIRECTION-DEPENDENT MEASUREMENT OF AT LEAST ONE LIGHTING OR RAADIOMETRIC CHARACTERISTIC VARIABLE OF AN OPTICAL RADIATION SOURCE INSTALLED IN AN OBJECT

Abstract

The invention relates to a method and to a gonioradiometer for the direction-dependent measurement of at least one lighting or radiometric characteristic variable of an optical radiation source (2) installed in an object (1). The method comprises: arranging the object (1) on a rotary table (3) which defines a first coordinate system, wherein the object (1) is arranged on the rotary table (3) such that the radiation concentration point of the optical radiation source (2) is spaced apart from the origin (O) of the first coordinate system; determining the position of the radiation concentration point of the optical radiation source (2) relative to the origin (O) of the first coordinate system (relative position); performing a gonioradiometric measurement which comprises a rotation of the object (1) in the first coordinate system, the object (1) being rotated on the rotary table (3) about the axis of rotation (31) of the rotary table (3); detecting a measurement variable of the radiation source (2) in a direction-dependent manner by means of the gonioradiometric measurement; calculating the measurement variable for the plurality of emission directions in a second coordinate system, the radiation concentration point of the optical radiation source (2) being located in the origin of the coordinate system, based on the direction-dependently detected values of the measurement variable, which have been determined in the first coordinate system, and the relative position, wherein the measurement variable is equal to the characteristic variable to be measured or the characteristic variable to be measured is calculated from the measurement variable.

Claims

1-24. (canceled)

25. A method for the direction-dependent measurement of at least one lighting or radiometric characteristic quantity of an optical radiation source installed in an object, wherein the method comprises: arranging the object on a turntable which has a rotation axis, the rotation axis of the turntable defining a first coordinate system, the origin of which is formed by the point of intersection of the surface of the turntable with the rotation axis and the spatial axis of which coincides with the rotation axis, wherein the object is arranged on the turntable in such a way that the radiation centroid of the optical radiation source is spaced apart from the origin of the first coordinate system, determining the position of the radiation centroid of the optical radiation source relative to the origin of the first coordinate system as a relative position, performing a gonioradiometric measurement which comprises rotation of the object about an axis, the gonioradiometric measurement being carried out in the first coordinate system and the object on the turntable being rotated starting from an initial position about the rotation axis of the turntable, and the rotation axis of the turntable constituting the vertical axis of the gonioradiometric measurement, direction-dependently recording a measurement quantity of the radiation source by means of the gonioradiometric measurement for a multiplicity of emission directions, emission directions which are defined in the first coordinate system respectively being assigned measured values of the measurement quantity, calculating the measurement quantity for the multiplicity of emission directions in a second coordinate system, in which the radiation centroid of the optical radiation source lies at the origin of the coordinate system, from the direction-dependently recorded values of the measurement quantity which have been ascertained in the first coordinate system and the relative position, wherein the measurement quantity is the same as the characteristic quantity to be measured or the characteristic quantity to be measured is calculated from the measurement quantity.

26. The method as claimed in claim 25, wherein the object is an automobile or a module, the radiation source being installed in the automobile or the module and the automobile or the module being arranged on the turntable in such a way that the radiation centroid of the optical radiation source is spaced apart from the origin of the first coordinate system.

27. The method as claimed in claim 25, wherein the turntable is rotated incrementally.

28. The method as claimed in claim 25, wherein the turntable is rotated continuously while measurement values are recorded at defined angles.

29. The method as claimed in claim 25, wherein the geometrical centroid of a radiation beam, which passes through a closure plate that delimits the radiation source from the surroundings, is defined as the radiation centroid of the radiation source.

30. The method as claimed in claim 25, wherein the calculation of the direction-dependent measurement quantity in the second coordinate system from the direction-dependently recorded values of the measurement quantity in the first coordinate system is carried out by mapping the coordinates of the values recorded in the first coordinate system onto corresponding coordinates in the second coordinate system.

31. The method as claimed in claim 25, wherein, in addition to the rotation of the object on the turntable, the gonioradiometric measurement comprises recording of the measurement quantity by means of one or more sensors along a straight line as a function of the position along this line.

32. The method as claimed in claim 31, wherein a sensor which is displaced along the straight line, and which acquires measurement values of the emitted radiation for defined positions on the line, is used for the gonioradiometric measurement.

33. The method as claimed in claim 31, wherein the illuminance is measured as the measurement quantity and the luminous intensity as the characteristic quantity to be measured of the radiation source is calculated from the illuminance with the following formula: $I=\frac{E.Math.d^2}{\cos H.Math.\cos V}$ where I is the luminous intensity, E is the measured illuminance, d is the distance between the light source and the sensor and H,V are the angles at which a sensor oriented rigidly parallel to the X axis has been illuminated, that is to say H corresponds to the azimuth angle φ, and V corresponds to 90° minus the polar angle θ.

34. The method as claimed in claim 31, wherein the first coordinate system is a cylindrical coordinate system, and the coordinates of the values recorded in the first coordinate system are converted in a first step to a further cylindrical coordinate system, at the origin of which the radiation centroid of the radiation source lies, and are converted in a second step to a spherical coordinate system, at the origin of which the radiation centroid of the radiation source lies, the spherical coordinate system being the second coordinate system.

35. The method as claimed in claim 34, wherein for each emission direction, the azimuth angle and the elevation angle of the sensor position in the second coordinate system are calculated from the rotation angle of the rotary plate and the height of the sensor in the first coordinate system, and the value of the measurement quantity measured by the sensor in question is assigned to this emission direction defined by azimuth angle and elevation angle, while being corrected by the range and the angle of incidence with respect to the sensor in order to obtain the characteristic quantity from the measurement quantity.

36. The method as claimed in claim 31, wherein the rotation axis of the turntable extends vertically, and the straight line along which the measurement quantity is recorded likewise extends vertically.

37. The method as claimed in claim 31, wherein, in addition to the rotation of the object on the turntable and in addition to the recording of the measurement quantity along a straight line as a function of the position along this line, the gonioradiometric measurement comprises recording of the measurement quantity along a second straight line as a function of the position along this second line, the first line and the second line extending parallel and being arranged at a different distance from the origin of the first coordinate system.

38. The method as claimed in claim 25, wherein, in addition to the rotation of the object on the turntable, the gonioradiometric measurement comprises recording of the measurement quantity by means of a statically arranged camera, the radiation emitted by the radiation source being reflected at a reflective measurement wall with diffuse reflection and being recorded by the camera as a luminance distribution on the measurement wall for at least two settings of the turntable, and the luminance distribution recorded by the camera being converted with the aid of a coordinate transformation into a luminance distribution in the second coordinate system, the luminance distribution constituting the measurement quantity.

39. The method as claimed in claim 38, wherein the measurement wall is arranged in the far field of the light distribution of the radiation source.

40. The method as claimed in claim 38, wherein, in addition, a further sensor is illuminated directly and the signal recorded by this sensor is used for a calibration of the camera.

41. The method as claimed in claim 25, wherein, in addition to the rotation of the object on the turntable, the gonioradiometric measurement involves tilting of the turntable or object about an axis perpendicular to the rotation axis, the object being rotated for a multiplicity of inclination angles and the measurement quantity being recorded for each combination of rotation angle and inclination angle, the measurement quantity being recorded on the basis of the gonioradiometric measurement on a spherical surface around the radiation centroid of the radiation source.

42. The method as claimed in claim 41, wherein a static sensor, which acquires a measurement value of the emitted radiation for each combination of rotation angle and inclination angle, is used for the gonioradiometric measurement.

43. The method as claimed in claim 41, wherein the calculation of the direction-dependent measurement quantity in the second coordinate system from the direction-dependently recorded values of the measurement quantity in the first coordinate system is carried out by mapping the coordinates of the values recorded in the first coordinate system onto corresponding coordinates in the second coordinate system, the second coordinate system being a spherical coordinate system, the origin of which moves on a spherical surface.

44. A method for the direction-dependent measurement of at least one lighting or radiometric characteristic quantity of an optical radiation source installed in an object, wherein the method comprises: arranging the object at or on a holding element, which is intended and configured to rotate the object about a first axis and about a second axis which is perpendicular to the first axis, the object being arranged on the holding element in such a way that the radiation centroid of the optical radiation source lies outside the origin of a first coordinate system formed by the first axis and the second axis, determining the position of the radiation centroid of the optical radiation source relative to the origin of the first coordinate system as a relative position, performing a gonioradiometric measurement which comprises rotation of the object about the two axes, the gonioradiometric measurement being carried out in the first coordinate system, direction-dependently recording a measurement quantity of the radiation source by means of the gonioradiometric measurement for a multiplicity of emission directions, emission directions which are defined in the first coordinate system respectively being assigned measured values of the measurement quantity, calculating the direction-dependent measurement quantity for the multiplicity of emission directions in a second coordinate system, in which the radiation centroid of the optical radiation source lies at the coordinate origin, from the direction-dependently recorded values of the measurement quantity which have been ascertained in the first coordinate system and the relative position, wherein the measurement quantity is the same as the characteristic quantity to be measured or the characteristic quantity to be measured is calculated from the measurement quantity.

45. A gonioradiometer for the direction-dependent measurement of at least one lighting or radiometric characteristic quantity of an optical radiation source installed in an object, wherein the gonioradiometer comprises: a turntable which has a rotation axis, the rotation axis of the turntable defining a first coordinate system, the origin of which is formed by the point of intersection of the surface of the turntable with the rotation axis and the spatial axis of which coincides with the rotation axis, and the turntable being intended to receive the object in such a way that the radiation centroid of the optical radiation source is spaced apart from the origin of the first coordinate system, at least one sensor which is configured and intended to measure a measurement quantity of the radiation source, wherein the turntable and the at least one sensor are configured to carry out a gonioradiometric measurement, which comprises rotation of the object about the rotation axis of the turntable, in the first coordinate system, the measurement quantity being direction-dependently recorded by means of the gonioradiometric measurement for a multiplicity of emission directions, emission directions which are defined in the first coordinate system respectively being assigned measured values of the measurement quantity, a calculation unit which is intended and configured to calculate the measurement quantity for the multiplicity of emission directions in a second coordinate system, in which the radiation centroid of the optical radiation source lies at the origin of the coordinate system, from the position of the radiation centroid of the optical radiation source relative to the origin of the first coordinate system and from the direction-dependently recorded values of the measurement quantity which have been ascertained in the first coordinate system, the calculation unit furthermore being intended and configured to calculate the characteristic quantity to be measured from the measurement quantity, if the measurement quantity is not already the characteristic quantity to be measured.

46. The gonioradiometer as claimed in claim 45, wherein the gonioradiometer forms a type 3 gonioradiometer, the at least one sensor recording the measurement quantity along a straight line as a function of the height position along this line.

47. The gonioradiometer as claimed in claim 45, wherein the gonioradiometer further comprises: a reflective measurement wall with diffuse reflection, which reflects the light emitted by the radiation source, a camera arranged statically and immovably and having a 2-dimensional sensor chip, the pixels of the sensor chip forming the at least one sensor, wherein the camera is arranged and configured in such a way that it records light reflected at the measurement wall for at least two settings of the turntable, the reflected light being imaged onto the sensor chip of the camera and the reflected light being recorded by the camera as a luminance distribution on the measurement wall, wherein the calculation unit is configured to convert the distribution of the luminance, recorded by the camera, into a luminance distribution in the second coordinate system by means of a coordinate transformation.

48. The gonioradiometer as claimed in claim 45, wherein the at least one sensor comprises a static sensor, in addition to rotation about the rotation axis, the turntable is configured to tilt an object arranged on it about an axis perpendicular to the rotation axis, or the object is arranged tiltably about such an axis, wherein the turntable, or the object, and the at least one sensor cooperate during a gonioradiometric measurement in such a way that the object is rotated during the gonioradiometric measurement for a multiplicity of inclination angles and the static sensor records the measurement quantity for each combination of rotation angle and inclination angle.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0090] Aspects of the invention will be explained in more detail on the basis of a plurality of exemplary embodiments, with reference being made to the figures, in which

[0091] FIG. 1 shows the basic structure of a gonioradiometer in which, for a gonioradiometric measurement, an object which is arranged on a rotary plate and in which a radiation source is installed acentrically is rotated and a sensor is displaced vertically along a mast;

[0092] FIG. 2 schematically shows a cylindrical coordinate system, the origin of which moves on a circle arc;

[0093] FIG. 3 schematically shows the measurement geometry for a gonioradiometer according to FIG. 1;

[0094] FIG. 4 schematically shows an enlarged representation of the rotary plate and of the object of the measurement geometry of FIG. 3;

[0095] FIG. 5 schematically shows a coordinate mapping from a cylindrical coordinate system, the origin of which moves on a circle arc, onto a spherical coordinate system, the origin of which moves on a circle arc;

[0096] FIG. 6 shows a variant of the gonioradiometer of FIG. 1, in which two vertical masts with sensors displaceable thereon are provided at different distances from the turntable;

[0097] FIG. 7 shows another exemplary embodiment of a gonioradiometer, the gonioradiometer comprising a reflective measurement wall and a camera in addition to a rotating turntable;

[0098] FIG. 8 schematically shows a spherical coordinate system, the origin of which moves on a circular arc and which is projected onto a projection wall;

[0099] FIG. 9 schematically shows a spherical coordinate system, the origin of which moves on a spherical surface; and

[0100] FIG. 10 shows the representation of a spherical coordinate system.

DETAILED DESCRIPTION

[0101] Regarding the general background of the invention, reference is first made to FIG. 10. FIG. 10 represents a spherical coordinate system with a representation of the definition of the angles phi φ and theta θ. If there is a radiation source at the origin of such a spherical coordinate system, lighting or radiometric characteristic quantities of the radiation source could be measured goniometrically, that is to say for all directions, by rotation of the radiation source or by movement of a sensor successively in the angle ranges −180°≤φ≤180° and 0≤θ≤180°. An emission direction may therefore be defined by two angles φ, θ.

[0102] In general, it is the case that a multiplicity i of emission directions, or angle pairs φ.sub.i, θ.sub.i, are respectively assigned a particular luminous intensity or other lighting or radiometric characteristic quantities of a radiation source, which are measured on a spherical surface or a subregion of a spherical surface by means of a sensor or which are derived from a measurement value recorded by the sensor, by a gonioradiometric measurement. In this way, a spatial distribution of the luminous intensity or of the measured characteristic quantity, which defines the radiation source, is determined. Precise determination of the spatial distribution or precise compliance with predetermined spatial values of the characteristic quantity in question is of extreme importance, for example for headlamps of vehicles.

[0103] For the measurement of headlamps of vehicles, the headlamps (left and right, respectively) may initially be measured separately as individual objects with a conventional gonioradiometer and the light distributions of the individual headlamps may then be superimposed in order to simulate the light distribution on the roadway. Such a component measurement with a goniometer neglects many factors and, in particular, does not take the installation state on the vehicle into account.

[0104] FIG. 1 shows a first exemplary embodiment of a gonioradiometer. The gonioradiometer comprises a turntable 3, which can be rotated about a rotation axis 31. The turntable 3 is located on a platform 35. This, however, is only intended to be understood as an example. Alternatively, it is possible to provide other measures which make it possible that an angle range emitting downward from the plane of the turntable 3 can be photometrically recorded, for example arrangement of the turntable 3 on a higher intermediate floor level.

[0105] At least in the region of the vehicle, the turntable 3 has a planar surface 32 which, together with the rotation axis 31, defines a first coordinate system, the origin of which is formed by the point of intersection of the surface 32 of the turntable 3 with the rotation axis 31 and the spatial axis (z axis) of which coincides with the rotation axis 31. The rotation axis 31 in this case extends vertically.

[0106] Arranged on the turntable there is a vehicle 1, which in the conventional way has two front headlamps 2, each of which is to be measured gonioradiometrically in respect of a lighting or radiometric characteristic quantity. The vehicle 1 is in this case arranged substantially centrally on the turntable 3, so that the headlamps 2 are spaced apart from the origin of the first coordinate system, which is formed as explained above, and from the rotation axis 31.

[0107] In order to perform a gonioradiometric measurement, a vertically extending mast 40 on which a sensor 4 can be displaced vertically between different height positions S is furthermore provided. The mast 40 extends starting from the floor plane, which lies at a lower level than the plane of the turntable 3 so that radiation emitted downward by the front headlamp 2 can also be recorded.

[0108] Furthermore represented is a measurement wall 5, which diffusely reflects the emitted headlamp light. In the exemplary embodiment in question, the measurement wall 5 is not relevant in respect of the gonioradiometric measurement to be carried out, although it may be used for visualization of the headlamp orientation and for visual checking of the illumination distribution generated by the headlamp. The shortest distance between the rotation axis 31 and the measurement wall 5 is denoted by r.

[0109] Both the mast 40 with the sensor 4 and the measurement wall 5 are located in the far field of the headlamps of the vehicle 1, a distance of 25 m being for example selected as the distance.

[0110] The gonioradiometer provided by the structure represented is a type 3 gonioradiometer, in which a rotation about a rotation axis, here the rotation axis 31 of the turntable 3, is combined with the displacement of a sensor, here the sensor 4, along a straight vertical line. The measurement is in this case carried out by the sensor 4 being displaced vertically for a particular rotation angle setting of the turntable 3, while acquiring a multiplicity of measurement values which correspond to different height positions S. This is repeated for a multiplicity of rotation angle settings of the turntable 3. Alternatively, the turntable 3 is displaced into different turntable settings at a given height position S of the sensor 4, and this is repeated for different height positions S.

[0111] During a measurement, only one radiation source is active at a time, in the exemplary embodiment represented the left headlamp.

[0112] The sensors 4 may in principle be any sensors which are suitable for measuring optical radiation in the wavelength range of from 100 nm to 1 μm, or in a subrange of this wavelength range. For example, they are photometers. Provision may be made for the sensors 1 to perform partial or full filtering by which the sensitivity of the sensor is assimilated to the sensitivity curve of a normal eye. For example, the sensors 4 deliver brightness values as output values.

[0113] The sensor 4 is displaced along the mast 40 for example into height positions S which have a vertical distance from one another that corresponds to an angular dimension of 0.05°, 0.1°, 0.15° or 0.2°. This, however, is only intended to be understood as an example.

[0114] During a gonioradiometric measurement carried out in this way, however, the procedure is such that the direction-dependent recording of the characteristic quantity to be measured of the radiation source (the headlamp) takes place for a multiplicity of emission directions in the first coordinate system. The spatial distribution, ascertained by the measurement, of the illuminance or of another characteristic quantity does not therefore provide information relating to the spatial distribution of the characteristic quantity in question for the radiation source.

[0115] In order to ascertain the spatial distribution of the characteristic quantity in question for the radiation source, the characteristic quantity in question is converted, while taking into account on the one hand the position of the radiation centroid of the optical radiation source relative to the origin of the first coordinate system and while taking into account on the other hand the values of the characteristic quantity which are recorded direction-dependently in the first coordinate system, into a second coordinate system in which the radiation centroid of the optical radiation source lies at the origin of the coordinate system.

[0116] It should be pointed out that, for the sake of simplicity, the terms “measurement quantity” and “characteristic quantity” are used synonymously in the following description of the figures. In this case, the measurement quantity is the measurement value measured by a sensor. The characteristic quantity may be the same as the measurement quantity, or may be derived from the measurement quantity. If the measurement quantity is the illuminance, for example, the luminous intensity is calculated as a characteristic quantity of the radiation source from the illuminance by means of a distance correction which takes into account the fact that the sensor surface of the sensor, or photometer, receives a reduced intensity of light under oblique light incidence, which furthermore takes into account the range between the radiation source and the sensor.

[0117] The precise determination of the position of the radiation centroid of the optical radiation source relative to the origin of the first coordinate system may, for example, be carried out by means of a tactile measuring system which samples particular markings on the vehicle and calculates relative positions therefrom. Such a tactile measuring system is, for example, produced and marketed by the company Hexagon Metrology under the name “ROMER ABSOLUTE ARM”. It should additionally be mentioned here that the radiation centroid of a headlamp installed in a vehicle is typically already indicated on the part of the manufacturer by a marking which is integrated into the closure plate of the headlamp and indicates the geometrical centroid of a radiation beam which emerges through the closure plate. For example, the precise position of the radiation centroid relative to the origin of the first coordinate system may in this way be recorded exactly.

[0118] The conversion of the characteristic quantity for the multiplicity of emission directions into corresponding values in the second coordinate system is carried out by a mapping, or coordinate transformation. In this regard, with the aid of FIGS. 2-5, an alternative embodiment will be described below in which such a coordinate transformation is carried out by recording the recorded values in the first coordinate system as cylindrical coordinates, converting the recorded values in a first step to a further cylindrical coordinate system, at the origin of which the radiation centroid of the radiation source lies, and converting them in a second step, while taking the range into account, into a spherical coordinate system, at the origin of which the radiation centroid of the radiation source lies, the spherical coordinate system being the desired second coordinate system.

[0119] FIGS. 2 and 5 illustrate this procedure. FIG. 2 shows a cylindrical coordinate system, the origin of which moves on a circular arc. The trajectory of the cylindrical coordinate system moved with it is indicated by T. The trajectory D corresponds to the movement of a headlamp in question of the vehicle 1 on the turntable 3. The turntable 3, or the headlamp, is in this case rotated from an initial setting A1 through the angle D. In the representation of FIG. 2, the headlamp has been rotated into the setting A2. FIG. 2 shows the conventional parameters of a cylindrical coordinate system. The height S in this case indicates the height position of the sensor 4 according to FIG. 1. In the cylindrical coordinate system, the planar range from the headlamp to the sensor 4 is indicated by p.

[0120] It should be pointed out that the cylindrical coordinate system of FIG. 2 constitutes the aforementioned intermediate coordinate system. The measurement values are initially recorded in the first coordinate system, which passes through the origin 0 and rotates about the rotation axis 31, the first coordinate system likewise being a cylindrical coordinate system. It is now a question of converting the measurement values in a first step into the intermediate coordinate system having the parameters φ, p and S (p and S are also capable of being measured) on the basis of the rotation angle D, and calculating the parameters H and V in a second step from the parameters φ, p and S, the parameter H according to the representation on the right in FIG. 5 indicating the azimuth angle and the parameter V indicating the elevation angle (defined as 90° minus the polar angle θ) in the spherical coordinate system. The spatial distribution to be determined of the characteristic quantity to be recorded is therefore then recorded in relation to a spherical coordinate system in which the radiation centroid of the radiation source lies at the coordinate origin.

[0121] Each rotation angle D thus has an associated local cylindrical coordinate system, for which the local azimuth angle φ is determined (=H in the system of planes A,α), before the local elevation angle V=90°−θ in the object system of the headlamp is calculated from the height S and the local radius p, and a distance correction is subsequently carried out according to the desired characteristic quantity, for example the luminous intensity.

[0122] The gonioradiometric calculations are carried out for example by means of a calculation unit 6, represented schematically in FIG. 1, for calculating the characteristic quantity for the multiplicity of emission directions in the second coordinate system. The calculation unit 6 records the rotation angle of the turntable 3 and the height S of the sensor 4, and has knowledge of the predetermined distances in the measuring system. The measurement values measured by the sensor 4 are also sent to the calculation unit 6. At the same time, the calculation unit may provide control instructions, for example for rotating the turntable 3 through a particular angle D or for displacing the sensor 4 to a particular height S.

[0123] The calculation will be described in detail below by way of example with the aid of FIGS. 3 and 4, FIG. 4 being an enlarged representation of the left subregion of FIG. 3.

Measurement Geometry

[0124] The measurement geometry in FIGS. 3 and 4 is as follows. The origin O=(0,0) of the coordinate system is the point of intersection between the axis 31 of the turntable 3 and the surface 32 of the turntable 3. The angle between the turntable 3 and the X axis is equal to D. The X axis points to the right toward the screen, the positive Y axis in the positive rotation sense points upward in the plane of the drawing (canonically, that is to say the light comes from the left) and the Z axis points upward out of the plane of the page.

[0125] The headlamps 2 in the initial position A1 lie on a reference line F with a fixed distance a from the rotation center. Their position in space must, however, be determined during measurement operation in order to find the neutral position of the vehicle 1 therefrom. The lateral distance of the headlamps from the midplane of the vehicle 1 is b, the midplane of the vehicle 1 extending, within the manufacturing tolerances and positioning accuracy, along the X axis.

[0126] The calculation is carried out by applying 2-dimensional rotation matrices and analytical geometry in the plane. For the basic considerations, the rotation of a point P (x,y) in R.sup.2 through D is required:

[00002]$\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}\cos D& -\sin D\\ \sin D& \cos D\end{array}\right).Math.\left(\begin{array}{c}a\\ b\end{array}\right)$

[0127] All important points are rotated in the (x,y) plane from the neutral position and the corresponding vectors, which are suspended from the headlamp 2 as a radiation source, are subsequently calculated.

[0128] The measurement and calculation of the characteristic quantity is carried out consecutively for both headlamps of the vehicle 1, that is to say when one headlamp 2 is being measured the other headlamp is turned off or covered, and vice versa. The exemplary embodiment considers the left headlamp 2.

Calculation of H and p From D

[0129] First, the azimuth angle φ (or H) and the local radius p in the local cylindrical coordinate system are to be determined from the rotation angle D, the local radius p being the distance between the headlamp 2 and the base point of the position of the sensor 4 in the plane in question.

[0130] The geometry is as follows:

TABLE-US-00001 angle of the turntable D e.g. 20.00° distance reference line F - rotation a is measured, center (=position of headlamp) e.g. 2.750 m distance reference line F - screen d e.g. 25.000 m distance rotation center O - screen r = d + a e.g. 27.750 m lateral headlamp position b (is measured) distance of headlamp from rotation center O c (c.sup.2 = a.sup.2 + b.sup.2)

[0131] The parameters for the active headlamp are as follows:

TABLE-US-00002 coordinates of the active headlamp for H = 0 [00003]${\stackrel{.fwdarw.}{X}}_0=\left(\begin{array}{c}a\\ b\end{array}\right)$ angle of the vector to the headlamp against the optical axis (H = 0) (but not further required) [00004]$\beta =\arctan \left(\frac{b}{a}\right)$ position {right arrow over (X)} of the active headlamp after rotation through D [00005]$\stackrel{.fwdarw.}{X}=\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}a\cos D-b\sin D\\ a\sin D+b\cos D\end{array}\right)$

[0132] The parameters for the photometer position are as follows:

TABLE-US-00003 lateral photometer distance to the optical axis (x), u which is determined from the spatial geometry photometer distance from the center (y) in the v v = {square root over (r.sup.2 − u.sup.2)} XY direction photometer offset angle α α = arcsin u/r coordinates of the photometer [00006]$\stackrel{.fwdarw.}{P}=\left(\begin{array}{c}\sqrt{r^2-u^2}\\ u\end{array}\right)$

[0133] The measurement distance is as follows:

TABLE-US-00004 The vector {right arrow over (X.sub.p)} points from the active headlamp to the photometer: [00007]$\stackrel{.fwdarw.}{P}-\stackrel{.fwdarw.}{X}=\stackrel{.fwdarw.}{X_p}=\left(\begin{array}{c}{x}_p\\ y_p\end{array}\right)=\left(\begin{array}{c}v-x\\ u-y\end{array}\right)$ The distance p to the photometer is the p = |{right arrow over (X.sub.p)}| = {square root over (x.sub.p.sup.2 + y.sub.p.sup.2)} length of this vector and therefore the measurement range associated with D The headlamp sees the photometer h.sub.p = arctan (y.sub.p/x.sub.p) at the angle h.sub.p with respect to the optical axis

[0134] The vanishing point or the optical axis of the active headlamp is likewise rotated. In the unrotated state (D=0), the headlamp is aimed at

[00008]$\stackrel{.fwdarw.}{C_0}=\left(\begin{array}{c}r\\ b\end{array}\right).$

[0135] Starting from such a geometry and parameters, the azimuth angle φ (or H) and the local radius p in the local cylindrical coordinate system may be calculated as follows.

[0136] During the rotation through D, {right arrow over (C.sub.0 )} is rotated into the point {right arrow over (C.sub.D)}. Computationally, this is done as for {right arrow over (X)}.sub.0 by the same matrix

[00009]$\stackrel{.fwdarw.}{C_D}=\left(\begin{array}{c}{C}_x\\ C_y\end{array}\right)=\left(\begin{array}{cc}\cos D& -\sin D\\ \sin D& \cos D\end{array}\right)\left(\begin{array}{c}r\\ b\end{array}\right)=\left(\begin{array}{c}r\cos D-b\sin D\\ r\sin D+b\cos D\end{array}\right)$

[0137] The vector {right arrow over (X.sub.c)} points from the active headlamp in the direction of the new vanishing point {right arrow over (C.sub.D)}.

[00010]${\stackrel{.fwdarw.}{C}}_D-\stackrel{.fwdarw.}{X}=\stackrel{.fwdarw.}{X_C}=\left(\begin{array}{c}{x}_c\\ y_c\end{array}\right)$

[0138] {right arrow over (X.sub.c)} has the angle h, in relation to the optical axis. h.sub.c is identical to D.

[00011]$h_c=\arctan \left(\frac{y_c}{x_c}\right)$

[0139] The angle of the headlamp in relation to the photometer is therefore

[00012]$H=h_C-h_p=D-\arctan \left(\frac{y_p}{x_p}\right)$$H=D-\arctan \left(\frac{u-a\sin D-b\cos D}{v-a\cos D+b\sin D}\right)$

[0140] H in the local cylindrical coordinate system (FIG. 2) is therefore determined.

[0141] The local radius p is equal to:

p=|{right arrow over (X.sub.p)}|=√{right arrow over (x.sub.p.sup.2+y.sub.p.sup.2)}

or p=√{square root over ((v−a cos D+b sin D).sup.2+(u−a sin D−b cos D).sup.2)}

[0142] The local radius p does not necessarily need to be calculated, since in the measurement geometry in question it coincides by definition with d and is therefore 25 m in the example in question.

[0143] In a similar way, D may conversely be determined from H. This is of practical importance, for example, when a particular angle H is intended to be approached.

[0144] In the next step, the spherical coordinates H and V in the spherical coordinate system according to FIG. 5, right image, are to be determined.

[0145] The azimuth angle H is in this case the same as in the local cylindrical coordinate system:

[00013]$H=D-\arctan \left(\frac{u-a\sin D-b\cos D}{v-a\cos D+b\sin D}\right)$

[0146] The angle V is obtained from the relationship between S and V by using p and D:

[00014]$V=\arctan \frac{s}{p},\mathrm{or}S=p\tan V$$\mathrm{with}p=.Math.\stackrel{.fwdarw.}{X_p}.Math.=\sqrt{x_p^2+y_p^2}$$\mathrm{or}p=\sqrt{{\left(v-a\cos D+b\sin D\right)}^2+{\left(u-a\sin D-b\cos D\right)}^2}$

[0147] If D and S are given, V may thus be determined relatively easily.

[0148] Lastly, the radius R in the spherical coordinate system may also be calculated for example from V and S:

[00015]$R=\frac{S}{\cos \left(90°-V\right)}.$

[0149] The spatial distribution of the characteristic quantity to be measured, for example the luminous intensity, may therefore be specified in the spherical coordinate system in which the radiation centroid of the radiation source lies at the center. A distance correction may additionally be carried out. A more in-depth analysis of the equations shows that there is a bijective mapping in the definition or angle range in question.

[0150] FIG. 6 shows another exemplary embodiment, which is based on the exemplary embodiment of FIG. 1. In this case, a second mast 41 having a second sensor 4 is provided, which is likewise displaceable in the vertical direction along the mast 41 into different height positions. The second mast 41 is in this case arranged closer than the first mast 40 to the turntable 3, for example at a range of 5 m, while the range to the first mast is 25 m. Like FIG. 1, the arrangement according to FIG. 6 comprises a calculation unit, although this is not represented separately.

[0151] Such an arrangement makes it possible to gonioradiometrically measure a plurality of radiation sources simultaneously, the sensor 4 arranged nearer being used for example to measure signal lamps, for example a turn signal light, optimally on the vehicle. For signal lamps, the far field already exists at a range of 5 m, so that larger vertical angles may be measured with the same ceiling height.

[0152] FIG. 7 shows an exemplary embodiment in which, for a gonioradiometric measurement, a vehicle 1 arranged on the turntable 3 is rotated into at least two rotational positions and the light reflected on the measurement wall 5 is recorded by a statically arranged camera 7 represented schematically.

[0153] The camera 7 in this case comprises a 2-dimensional sensor chip, in which case the pixels of the sensor chip may be regarded as sensors in the context of the present invention. Each pixel of the 2-dimensional sensor chip is in this case assigned a wall element of the measurement wall 5. The sensor chip is, for example, a 2-dimensional CCD sensor or CMOS sensor. The camera 7 has optics which direct the incident light onto the sensor chip.

[0154] The measurement wall 5 is configured in such a way that it scatteringly reflects the incident radiation uniformly in all directions with diffuse, nondirectional reflection. It is, in particular, gray or white in order to minimize spectral influences of the reflection. The measurement wall 5 therefore does not constitute a mirror which has directional reflection satisfying the law of reflection.

[0155] The camera 7 is arranged and configured in such a way that it records light reflected at the measurement wall 5, the reflected light being imaged onto the sensor chip of the camera 7. The reflected light is recorded by the camera 7 as a luminance distribution on the measurement wall 5 for at least two settings of the turntable 3. An assigned calculation unit 6 (only schematically represented) is configured to convert the distribution of the luminous intensity, recorded by the camera 7, into a luminance distribution in the second coordinate system with the aid of a coordinate transformation.

[0156] The calculation unit 6 in this case performs the gonioradiometric calculations. It records the rotation angle D of the turntable 3 and the measurement data of the camera 7. At the same time, the calculation unit may provide control instructions, for example for rotating the turntable 3 through a particular angle.

[0157] The radiation source 2 generates a light distribution 9 on the measurement wall 5, which in the exemplary embodiment represented corresponds to the typical light distribution of an automobile headlamp. The light distribution 9 is recorded by means of the sensor chip of the camera 7 for each pivoting movement about the axis 31. The measurement wall 5 is located in the far field of the light distribution of the radiation source installed in the vehicle. It lies, for example, at a range of 25 m from the headlamp, or the radiation source.

[0158] This exemplary embodiment is therefore distinguished in that, instead of a linearly moved photometer according to the exemplary embodiment of FIG. 1, a photometrically corrected camera-measurement wall system is used and a camera measures the reflected luminance of the luminance or illuminance due to a vehicle illumination system on a measurement wall. Only the rotational movement of the vehicle, and the camera-measurement wall measuring system with which entire angle ranges can be recorded in a single luminance image, are needed in this case. The luminance distribution measured on the wall by the camera is subsequently converted into the luminous intensity distribution of the headlamp with the aid of a coordinate transformation.

[0159] Coupled coordinate systems are also used in this case, that is to say transformation of the wall coordinates, in which the luminance camera ascertains the measurement values, into the spherical coordinates in the reference system of the headlamp varies with the rotation of the headlamp in space. If the coordinates of the headlamp are known as a function of the angle of the rotating device, it is again possible to find a bijective mapping with which the light distribution in the reference system of the test object may be calculated from the angle of the rotating device and the height of the headlamp.

[0160] A plurality of partial angle ranges may then be combined to form the overall angle distribution. The advantage of such a method is that the data are obtained more rapidly with a combination of vehicle rotation and camera measurement than would be possible with the sequential grid measurement based on a photometer.

[0161] The dynamic range of the measurement with indirect measurement by means of a camera 7 is, however, smaller in comparison with a direct measurement by photometers. This is associated with the fact that the scattered light suppression both in the measurement space and in the objective when using a camera 7 is limited. A contrast of more than 100:1 can therefore be achieved only with great outlay. Taking this into account, provision may be made to remeasure distinctive points of the light distribution with a rigidly fitted sensor 8 having a higher dynamic range. Such a further sensor 8 is schematically represented in FIG. 7. According to one alternative embodiment, for this purpose an opening (not represented) is formed in the measurement wall 5, for example on the optical axis of the radiation source, through which light emitted by the radiation source passes and is detected by the additional sensor. The additional sensor is in this case located on the axis, either behind the measurement wall 5 or in the opening. In the ideal case, the sensor surface is a part of the measurement wall and has a similar reflection or scattering behavior in relation to the incident light. Alternatively, such a sensor 8 is arranged in front of or next to the measurement wall 5, while being located in the far field. Provision may also be made that such a sensor 8 is displaceable and therefore may adopt a multiplicity of positions in front of the measurement wall 5.

[0162] By means of such a sensor 8, the entire range of the light distribution covered by the measurement wall may be calibrated precisely. Since the position of such an additional sensor 8 is known, the combination of the measurement wall 5 and camera 7 merely needs to be used for the angle determination of distinctive points of a light distribution. This is associated with advantages in the traceability of the measurement values, since the combination of the measurement wall 5 and camera 7 does not need to be calibrated absolutely but may be calibrated during a measurement with the photometer.

[0163] As already mentioned, the camera 7 records the solid angle defined by the measurement wall 5 for each rotational setting of the turntable 3. By concatenation of the individual solid angles with different rotational settings of the turntable 3, the entire light distribution may be composited over a larger solid angle range in question, specifically in the coordinate system in which the radiation source or the headlamp is located at the coordinate origin. The corresponding projection is shown by FIG. 8.

[0164] According to another alternative exemplary embodiment, the turntable 3 of FIG. 1 can additionally be tilted about an axis perpendicular to the rotation axis 31, for example about the Y axis. The turntable 3 itself therefore produces a movement of the radiation source during a measurement process about a first axis 31 and about a second axis which is perpendicular to the first axis 31, in which case naturally not all spatial directions of a sphere can be gonioradiometrically recorded, but only a solid angle directed forward. This, however, is sufficient for the application of measuring the headlamp illumination.

[0165] Alternatively, the vehicle on the turntable may also be tilted about a transverse axis, for example by raising the front or the tail, so that the same effect is achieved as by tilting the turntable.

[0166] In this configuration, for the gonioradiometric measurement it is sufficient to use a static sensor which, for each combination of rotation angle and inclination angle, acquires a measurement value of the emitted radiation which is the same as the characteristic quantity to be determined, or from which the characteristic quantity to be determined is derived. The use of a static sensor is advantageous particularly when the ceiling height is limited.

[0167] Provision may be made that the inclination of the bodywork, which corresponds to the inclination of the turntable, is recorded instantaneously with a separate measuring system.

[0168] Such an arrangement has the advantage that the photometer no longer needs to be displaced on a linear axis in order to adjust the height angle in the coupled cylindrical coordinate system, but instead this may now be done by inclining the vehicle forward or backward. However, the aforementioned disadvantages of a vehicle inclination on the chassis need to be recorded and corrected. This may for example be done using cameras fitted on the left and right of the vehicle, which measure marking points applied on the bodywork and therefore record the real tilt angle of the vehicle in relation to the horizontal neutral position, without chassis influences such as spring compression or air pressure of the tires being capable of vitiating the vertical angle.

[0169] The measurement is carried out as in FIG. 1 by rotating the platform 3 on which the inclined vehicle 1 is set up, so that the headlamp moves on a circle arc around the midpoint of the rotating device. Such a measurement may be repeated for different tilt angles.

[0170] The measurement geometry is described in this exemplary embodiment by a spherical coordinate system, the origin of which moves on a spherical surface. This is because the tilting of the vehicle 1 about two mutually perpendicular axes on the turntable leads to measurement values on a spherical surface corresponding to the inner spherical coordinate system of FIG. 9, which constitutes a first coordinate system. The corresponding measurement values ascertained for different emission directions then need to be converted into the coordinates of the second, outer coordinate system, in which the radiation centroid of the radiation source lies at the coordinate origin. The conversion is carried out by means of a coordinate transformation between two coupled spherical coordinate systems, the absolute value as described in the first equation additionally being modified by means of the distance law and the angle of incidence with respect to the photometer.

[0171] The described aspects of the invention make it possible to objectively assess the illumination devices of vehicles in the installed state metrologically in the laboratory. The advantage over methods which are performed outdoors and/or during driving is that the influence of the roadway (reflection, dry or wet condition) and residual brightness or atmospheric influences may be excluded. The described aspects of the invention on the other hand make it possible to position light functions which are already preassembled as large modules acentrically on a goniometer and to transform the measurement results by means of a bijective, that is to say biuniquely invertible, mapping into the reference system of the equipment under test.

[0172] Aspects of the invention with an acentrically arranged radiation source (which provides the light function to be evaluated) make it possible to record the characteristic quantity to be determined in a coordinate system in which the radiation centroid of the radiation source is located at the coordinate origin, even though the radiation source is arranged acentrically. One advantage is that the radiation source to be tested does not have to be shifted to the coordinate origin of the goniometer by repositioning the vehicle. On the one hand this gives a space advantage, and on the other hand it ensures that the vehicle to be tested is located at a defined place or, if the rotary table is additionally combined with a roller test rig, is in a defined driving state.

[0173] It should be pointed out that the described transformation of the coordinate systems with an acentrically arranged radiation source may in principle be carried out for any gonioradiometric measurement, even for measuring arrangements in which a turntable according to FIG. 1 is not used and for which a module with a radiation source arranged acentrically in the module is gonioradiometrically measured in another way, for example by rotating the module about two mutually perpendicular axes, for example by means of a robot.

[0174] It is to be understood that the invention is not restricted to the embodiments described above, and that various modifications and improvements may be carried out without departing from the concepts described here. It should furthermore be pointed out that any of the features described may be used separately or in combination with any other features, so long as they are not mutually exclusive. The disclosure extends to all combinations and subcombinations of one or more features which are described here, and includes these. Insofar as ranges are defined, these include all values within these ranges as well as all subranges which fall within a range.