Measures the smaller and the larger angle between two lines.

Measures the angle defined by three consecutive points.

Normalizes an angle to the range <x, x+90) or <x, x+180) or <x, x+360).

Creates a circle from an aligned point and radius.

Creates array of random points inside given box.

Creates a ring from an aligned point, inner and outer radius, and angle range.

Produces a vector of given length and direction.

Loads path from WKT text format.

Loads multiple points from WKT text format.

Loads multiple polygons from WKT text format as region.

Loads polygon from WKT text format.

Computes circle tangent lines passing through a point.

Creates a coordinate system with the specified origin.

Most often used to define an object alignment from results of 1D Edge Detection or Blob Analysis.

Creates a coordinate system with the origin on a given segment.

Creates a coordinate system from a vector.

Both vectors and coordinate systems can represent object translations. This operation does a conversion.

Computes an ellipse passing through three noncollinear points.

Computes a line passing through two distinct points.

Projects a point onto a line.

Projects points onto a line.

Computes a vector representing distance from one point to another.

Measures the distances between consecutive points of a point sequence.

Measures the distance between a point and a circle.

Measures the signed distance between a point and a line with direction.

Measures the distance between point and rectangle.

Measures the distance between two segments.

Computes two endpoints of an arc.

Computes the midpoint of an arc.

Computes the smallest box containing a circle.

Returns a characteristic point (e.g. the top-left) of a box containing the input circle.

Computes an arciform section of the circle perimeter.

Computes the smallest box containing an ellipse.

Computes the smallest rectangle with the given orientation angle containing an ellipse.

Computes the orientation angle of a line as angle in the range from 0 to 180.

Computes the smallest box containing an array of points; returns NIL if the array is empty.

Computes the smallest circle containing an array of points; returns NIL if the array is empty.

Computes the smallest parallelogram containing an array of points.

Computes the smallest rectangle with the given orientation angle containing an array of points.

Computes the smallest rectangle containing an array of points; returns NIL when the array is empty.

Computes the smallest convex shape that contains the given array of points.

Computes the central point of the input points.

Computes the geometric median of the input points.

Computes the area of a rectangle.

Computes the smallest circle containing a rectangle.

Returns a characteristic point (e.g. the top-left) of the input rectangle.

Computes the four corner points of a rectangle.

Returns segments representing the sides of the input rectangle.

Computes the center point of a segment.

Computes the line passing through a segment.

Computes the orientation of a segment.

Computes the direction angle of a vector as an angle in range the from 0 to 360.

Computes the geometric median of the input vectors.

Detect points that lie along multiple segments.

Approximates points with an arc using the selected outliers suppression method.

Approximates points with a line using the Least Squares method.

Approximates points with a line using selected M-estimator for outlier suppression.

Finding a locally optimal line. Good enough when the number of outliers is small.

Approximates points with a line using TheilSen algorithm, optionally with Siegel's improvement.

Finds a well matching line, ignoring up to 29.3% (TheilSen) or 50.0% (Siegel) outliers. Outliers do have some influence on accuracy.

Approximates points with a segment using Least Trimmed Error algorithm.

Brute-force finding of a segment that best matches a subset of the input points. Very efficient against outliers, but possibly slow for bigger subsets.

Approximates points with a segment using TheilSen algorithm, optionally with Siegel's improvement.

Finds a well matching segment, ignoring up to 29.3% (TheilSen) or 50.0% (Siegel) outliers. Outliers do have some influence on accuracy.

Finds occurrences of a pattern in a 2D cloud of (feature) points.

Can be used to find entire objects after finding their characteristic points with tools such as Template Matching or DL_LocatePoints.

Computes the average of the input angles using points on a unit circle.

Linearly interpolates between two angles in the direction of minimum turn.

Linearly interpolates between two points.

Linearly interpolates between two vectors.

Computes the median angle of the input angles.

This is a substitute for arithmetic average which cannot be done well for angles. For example the average of 1 and 359 is incorrectly 180 (we think 0).

Computes the common points of an arc and a line.

Computes a common point of two lines.

Computes the common points of an arc and a segment.

Computes the common points of a circle and a segment.

Tests if two rectangles intersect.

Changes orientation of the given segment according to base orientation.

Changes orientation of the given segment according to distance to the given point.

Changes orientation of the given rectangle by multiple of 90 degrees.

For each given point, finds the closest point among the given point set.

Tests which points lie inside a rectangle.

Tests whether a point lies inside a circle.

Moves an arc from a local coordinate system to the absolute one.

Required when there is an arc defined in a local coordinate system, but the next image-related filter in the program does not have any inAlignment input.

Moves a nested coordinate system from its local coordinate system to the absolute one.

This filter is required e.g. when we first locate an object and then we locate its parts within it.

Moves a point from a local coordinate system to the absolute one.

Required when there is a point defined in a local coordinate system, but the next image-related filter in the program does not have any inAlignment input.

Moves a rectangle from a local coordinate system to the absolute one.

Required when there is a rectangle defined in a local coordinate system, but the next image-related filter in the program does not have any inAlignment input.

Enlarges a rectangle by a given margin.

Transforms a point to a coordinate system in which the 'axis' arc is vertical or horizontal.

Usually used to revert an ImageAlongArc transformation.

Changes radius of an arc and translates its center in relation to a reference point.

Changes the distance of a line to a reference point.

Changes the distances of points from an array to a reference point.

Lengthens or shortens a segment relatively.

Changes radius of an arc.

Changes radius of a circle.

Changes dimensions of a rectangle.

Changes dimensions of a rectangle relatively.

Changes length of a segment by adding a value preserving its orientation and center point.

Extends length of a vector by adding a value preserving its direction.

Swaps the two endpoints of a segment.

Changes the input direction in the direction of minimum rotation toward the target direction.

Rotates a circle clockwise around a center point.

Rotates a line clockwise around a center point.

Rotates an array of points clockwise around a center point.

Rotates a segment clockwise around a center point.

Separates the points being on one side of the input line from the others.

Translates an arc by a vector.

Translates a coordinate system by a vector.

Translates a point by a vector.

Translates a point towards another point by a specified distance.

Translates a segment by a vector.

Creates a segment contained in a rectangle from a line.

Creates an array of paths contained in a box from another array of paths.

Creates a path contained in a rectangle from another path.

Trims an array of points to a region.

Creates a segment contained in a circle from another segment.

Creates a segment contained in a rectangle from another segment.