To smoothen a machining route more appropriately. A numerical controller of the present invention comprises: a machining program look-ahead unit that acquires a program for machining; a command route mathematization unit that expresses a machining route as a parametric line segment or curve on the basis of the program for the machining; and a smoothing processing unit that sets a range of smoothing for a target point of the smoothing along the parametric line segment or curve in an optional range from the target point, and performs the smoothing on the target point on the basis of the set range of the smoothing. The range of the smoothing set by the smoothing processing unit is a range in which a deviation between before the smoothing and after the smoothing on the target point is a set threshold or less.

In accordance with some embodiments, systems, methods, and media for controlling support structures and build orientation are provided. In some embodiments, a method for additive manufacturing a part using a three dimensional (3D) printing system, the 3D printing system including a print head and a build plate is provided, the method comprising: receiving a plurality of physical constraints associated with the part; optimizing a build orientation of the part to identify an optimized build orientation b* for the part with respect to a design domain defined by the physical constraints based on the plurality of physical constraints, and a plurality of design constraints using at least one variable associated with build orientation as an optimization variable, the plurality of design constraints comprising: an initial build orientation b.sup.0; and a critical surface slope angle and generating a part model based on the optimized build orientation b*.

A numerical controller controls a machine tool with a plurality of control axes so as to compensate an inward turning error by inserting a curved movement path into a corner section between two consecutive blocks. An estimated inward turning amount generated as the corner section is subjected to post-interpolation acceleration/deceleration is calculated based on the radius of curvature of the curve and allowable accelerations of the axes of the machine tool, and such a curved movement path that its inward turning amount has a value obtained by subtracting the estimated inward turning amount from a tolerance is inserted into the corner section if the sum of the estimated inward turning and the inward turning amount of the curve is larger than the tolerance.

An improved method for configuring progressive ophthalmic lenses is disclosed. The method includes computing an improved merit function that modulates reduction of peripheral values of the mean sphere according to the prescription sphere. According to the method the amount of reduction of mean sphere of the lens peripheral regions is dependent on the prescription resulting from a modified merit function. As such, the reduction of peripheral mean sphere varies based on the prescription. According to the modified merit function and resulting improved merit function, the greater the hyperopia and/or presbyopia defined in a prescription, the smaller the reduction of the peripheral value of mean sphere. Accordingly, when the peripheral mean sphere reduction is relaxed, a near region is made wider.

This invention, a feedrate scheduling method for five-axis dual-spline curve interpolation, belongs to multi-axis NC (Numerical Control) machining filed, featured a feedrate scheduling method with constant speed at feedrate-sensitive regions under axial drive constraints for five-axis dual-spline interpolation. This method first discretizes the tool-tip spline with equal arc length, thus getting the relation between the axial motion and the toolpath by computing the first, second, and third order derivatives of the axial positions with respect to the tool-tip motion arc length. After that, determine the feedrate-sensitive regions with the constraints of axial drive limitations and the objective of balanced machining quality and efficiency. Finally, determine the acceleration/deceleration-start-point curve parameters by bi-directional scanning. The invented method can effectively make a balance between the feed motion stability and efficiency in five-axis machining, and possesses a high computational efficiency and a good real-time capability.

An improved method for configuring progressive ophthalmic lenses is disclosed. The method includes computing an improved merit function that modulates reduction of peripheral values of the mean sphere according to the prescription sphere. According to the method the amount of reduction of mean sphere of the lens peripheral regions is dependent on the prescription resulting from a modified merit function. As such, the reduction of peripheral mean sphere varies based on the prescription. According to the modified merit function and resulting improved merit function, the greater the hyperopia and/or presbyopia defined in a prescription, the smaller the reduction of the peripheral value of mean sphere. Accordingly, when the peripheral mean sphere reduction is relaxed, a near region is made wider.

A machine controller for controlling a machine detects an absolute position of a detection target using a detector outputting rotation number data corresponding to a position of the detection target, and controls the machine based on the detected absolute position of the detection target. The machine controller includes: a storage unit which stores rotation number data, of the detector, that corresponds to a zero point position of the absolute position, as zero point position data, and which stores rotation number data exceeding a rotation number data length that the detector can output, as extended rotation number data; and a calculation unit which calculates the absolute position in accordance with Formula (1) below that is based on the rotation number data output from the detector, the zero point position data, and the extended rotation number data:
Absolute position=(Rotation number data from the detector+Extended rotation number data)−Zero point position data   (1).

In accordance with some embodiments, systems, methods, and media for controlling support structures and build orientation are provided. In some embodiments, a method for additive manufacturing a part using a three dimensional (3D) printing system, the 3D printing system including a print head and a build plate is provided, the method comprising: receiving a plurality of physical constraints associated with the part; optimizing a build orientation of the part to identify an optimized build orientation b* for the part with respect to a design domain defined by the physical constraints based on the plurality of physical constraints, and a plurality of design constraints using at least one variable associated with build orientation as an optimization variable, the plurality of design constraints comprising: an initial build orientation b.sup.0; and a critical surface slope angle and generating a part model based on the optimized build orientation b*.

A method and a system for sensing fine changes in processing/equipment measurement data are provided. A data change sensing method according to an embodiment of the present invention extracts a part on the basis of a statistical distribution of reference data and comparison data, calculates a target range on the basis of a specification, and discriminates data, included in the target range, among the extracted reference data and comparison data so as to determine data changes. Therefore, fine changes in measurement data for processing or equipment can be sensed in a manufacturing process, thereby enabling pre-estimation of potential quality variability of products and quick preemptive actions for preventing quality degradation.

A method of controlling a positioning control apparatus includes the steps of: deriving a predetermined relational expression in advance; detecting the pressing force during machining by a force sensor; calculating the sideslip amount corresponding to the pressing force detected by the force sensor, in accordance with the predetermined relational expression at any time; correcting a position command value of an arm tip of the positioning control apparatus based on the calculated sideslip amount; and machining the workpiece while moving the arm tip of the positioning control apparatus in accordance with the corrected position command value.