The technology disclosed present systems and methods to produce an enhanced resolution image from images of a target using structured illumination microscopy (SIM). The method includes transforming at least three images of the target captured by a sensor in a spatial domain into a Fourier domain to produce at least three frequency domain matrices that each include first blocks of complex coefficients and redundant second blocks of complex coefficients that are conjugates to the first blocks. The method includes reducing computing resources required to produce the enhanced resolution image by using first blocks of complex coefficients to produce at least three phase-separated half-matrices in the Fourier domain. The method includes performing one or more intermediate transformation on the phase-separated half-matrices to produce realigned shifted half-matrices. The method includes calculating complex coefficients of second blocks in the Fourier domain to produce full matrices from half-matrices.

The present invention relates to a timepiece comprising a watch movement including a complication of the chronograph or countdown type, a fixed body (10) and a display (20) with moiré effect for displaying a time information associated with the chronograph or the countdown. The display comprises a mobile disc (22) with an indicator (24) of the time information. The mobile disc (22) is, on the one hand, connected to an axis (23) in engagement with the watch movement and, on the other hand, arranged to rotate above or below the fixed body (10). One of the mobile disc (22) and the fixed body (10) comprises a plurality of apertures (26) arranged over 360°. The other of the mobile disc (22) and the fixed body (10) comprises a marking with a repetition of patterns including a first set of patterns having a first visual appearance (27) and a second set of patterns having a second visual appearance (28). The patterns having the first visual appearance are arranged alternately with the patterns having the second visual appearance over 360°. The plurality of apertures (26) are separated from each other by a plurality of portions (30) intended to progressively mask the patterns of the marking in order to produce the moiré effect when the mobile disc (22) is rotated.

The present invention relates to a timepiece comprising a watch movement including a complication of the chronograph or countdown type, a fixed body (10) and a display (20) with moiré effect for displaying a time information associated with the chronograph or the countdown. The display comprises a mobile disc (22) with an indicator (24) of the time information. The mobile disc (22) is, on the one hand, connected to an axis (23) in engagement with the watch movement and, on the other hand, arranged to rotate above or below the fixed body (10). One of the mobile disc (22) and the fixed body (10) comprises a plurality of apertures (26) arranged over 360°. The other of the mobile disc (22) and the fixed body (10) comprises a marking with a repetition of patterns including a first set of patterns having a first visual appearance (27) and a second set of patterns having a second visual appearance (28). The patterns having the first visual appearance are arranged alternately with the patterns having the second visual appearance over 360°. The plurality of apertures (26) are separated from each other by a plurality of portions (30) intended to progressively mask the patterns of the marking in order to produce the moiré effect when the mobile disc (22) is rotated.

The invention relates to a medical navigation marker device (1; 2; 3) comprising a light reflector, characterised in that the reflector features a marker pattern (11, 12, 13; 11, 12, 13, 14, 15, 16; 27, 28; 34, 37; 35, 37) having the following features:—the marker pattern (11, 12, 13; 11, 12, 13, 14, 15, 16; 27, 28; 34, 37; 35, 37) points in more than one spatial direction; —the marker pattern (11, 12, 13; 11, 12, 13, 14, 15, 16; 27, 28; 34, 37; 35, 37) comprises at least one moire pattern (11, 12, 13; 27; 37) which points in more than one spatial direction; and—the marker pattern (11, 12, 13; 11, 12, 13, 14, 15, 16; 27, 28; 34, 37; 35, 37) comprises a face identification pattern (14, 15, 16; 25, 26; 34; 35) which identifies the face of the marker being viewed from a particular spatial direction. The invention also relates to a combination of a medical marker device (1; 2; 3) and a medical navigation system (43) which uses the marker device (1; 2; 3) as a spatial position and/or orientation marker, and to the use of a medical marker device (1; 2; 3) for providing guidance to a user of a medical navigation system (43) by evaluating the spatial position and/or orientation information provided by the marker device.

The invention relates to a medical navigation marker device (1; 2; 3) comprising a light reflector, characterised in that the reflector features a marker pattern (11, 12, 13; 11, 12, 13, 14, 15, 16; 27, 28; 34, 37; 35, 37) having the following features:—the marker pattern (11, 12, 13; 11, 12, 13, 14, 15, 16; 27, 28; 34, 37; 35, 37) points in more than one spatial direction; —the marker pattern (11, 12, 13; 11, 12, 13, 14, 15, 16; 27, 28; 34, 37; 35, 37) comprises at least one moire pattern (11, 12, 13; 27; 37) which points in more than one spatial direction; and—the marker pattern (11, 12, 13; 11, 12, 13, 14, 15, 16; 27, 28; 34, 37; 35, 37) comprises a face identification pattern (14, 15, 16; 25, 26; 34; 35) which identifies the face of the marker being viewed from a particular spatial direction. The invention also relates to a combination of a medical marker device (1; 2; 3) and a medical navigation system (43) which uses the marker device (1; 2; 3) as a spatial position and/or orientation marker, and to the use of a medical marker device (1; 2; 3) for providing guidance to a user of a medical navigation system (43) by evaluating the spatial position and/or orientation information provided by the marker device.

The present invention proposes a method for producing an authenticable moiré shape that simultaneously moves and shows a beating effect. The method relies on a combination of the 1D or the 2D moiré and the level line moiré. When tilting a compound showing such a moiré, the moiré shape moves, its intensity levels change significantly but its shape remains the same and is recognizable. Embodiments comprise a base layer made of patterned metallic tiny shapes and a revealing layer made of a 1D array of cylindrical lenslets or of a 2D array of spherical or aspherical lenslets.

The present invention proposes a method for producing an authenticable moiré shape that simultaneously moves and shows a beating effect. The method relies on a combination of the 1D or the 2D moiré and the level line moiré. When tilting a compound showing such a moiré, the moiré shape moves, its intensity levels change significantly but its shape remains the same and is recognizable. Embodiments comprise a base layer made of patterned metallic tiny shapes and a revealing layer made of a 1D array of cylindrical lenslets or of a 2D array of spherical or aspherical lenslets.

A moiré pattern imaging device includes a light-transmissive film and a light-shielding film. The light-transmissive film includes a plurality of imaging units and a light-incident surface and a light-emergent surface opposite to each other. The plurality of imaging units are disposed on the light-incident surface, the light-emergent surface, or a combination thereof and are arranged in two dimensions to form an imaging unit array. The light-shielding film includes a plurality of light-transmissive regions. The light-transmissive regions are arranged in two dimensions to form a light-transmissive array, and the light-shielding film is overlaid on the light-incident surface or the light-emergent surface. The light-transmissive array corresponds to the imaging unit array. The imaging unit array and the light-transmissive array together form a moiré pattern effect to generate an image magnification effect.

A moiré pattern imaging device includes a light-transmissive film and a light-shielding film. The light-transmissive film includes a plurality of imaging units and a light-incident surface and a light-emergent surface opposite to each other. The plurality of imaging units are disposed on the light-incident surface, the light-emergent surface, or a combination thereof and are arranged in two dimensions to form an imaging unit array. The light-shielding film includes a plurality of light-transmissive regions. The light-transmissive regions are arranged in two dimensions to form a light-transmissive array, and the light-shielding film is overlaid on the light-incident surface or the light-emergent surface. The light-transmissive array corresponds to the imaging unit array. The imaging unit array and the light-transmissive array together form a moiré pattern effect to generate an image magnification effect.

A feature value such as a grayscale value is extracted from a design pattern on which a moiré image is based. Then, an aperture/non-aperture ratio of a moiré pattern is set according to the feature value, taking into account the specification of layers desired for a moiré image, setting of a basic pattern, and information regarding a moiré display. In addition to the aperture/non-aperture ratio, a phase shift amount and a pitch ratio can be further added to efficiently produce a moiré image having a beautiful appearance and excellent design. Moreover, such a method for generating a moiré pattern can be incorporated in a system to further improve production efficiency.