Appends a point to a path.

Creates an open path containing cocircular, equidistant points.

Creates a closed path containing elliptical, equidistant points.

Creates an open path containing collinear, equidistant points.

Returns linear interpolation between two consecutive characteristic points of a path.

Returns a path point of desired distance (measured along path) from the first point of the path.

Removes the segment connecting the last point with the first one in a path.

Modifies the value of a selected characteristic point.

If the input path is closed and has no self-intersections, then it is copied to the output; otherwise Nil is returned.

Splits the paths of the input array - in accordance to the relation between computed feature values and the specified range.

Use this filter when you have an array of paths and you want to select some of them for further processing.

Returns the path from the input array that corresponds to the largest computed feature value; returns NIL if the array or any path inside it is empty.

Use this filter when you have an array of paths and you want to select one of them that best matches some criterion.

Returns the path from the input array that corresponds to the smallest computed feature value; returns NIL if the array or any path inside it is empty.

Use this filter when you have an array of paths and you want to select one of them that best matches some criterion.

Selects paths which are closed.

Selects paths which are open.

Changes the order of paths from the input array according to an ascending/descending sequence of their computed feature values.

Joins up to four open paths.

Joins open paths appearing in consecutive iterations.

Computes the common points of a path and a line.

Computes the common points of a path and a segment.

Splits path in common points of two paths.

Converts an array of paths to an array of points.

Computes the smallest box containing a path.

Computes the smallest circle enclosing a path.

Computes the smallest parallelogram containing a path.

Computes the smallest rectangle with the given orientation angle containing a path.

Computes the smallest rectangle containing a path; returns NIL when the path is empty.

Computes the smallest convex shape that contains the given path.

Returns the two endpoints of a path.

Computes the average of the path points (all, not only characteristic ones).

Converts a path to an array of line segments.

Returns the number of characteristic points on the input path.

Finds the maximum of the profile of turn angles of a path.

Computes the profile of turn angles at characteristic points of a path.

Creates a bicircular curve passing through the points of the leading path.

This is a fast algorithm that approximates Bezier's splines for dense paths.

Creates a new path from the longest sequence of segments of the input path that turn gently.

Can be used for removing noise.

Removes all self-intersections from a given path.

Moves, rotates and scales the path so that its end-points end up at the given two points.

Smooths a path by averaging its characteristic points within a kernel.

Computes the smallest distance between a path and a line.

Computes the minimum distance between two paths.

Computes the distance between the farthest point of the input path from the other path.

Computes the profile of distances between the specified point and the characteristic points of a path.

Moves an array of paths from a local coordinate system to the absolute one.

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

Enlarges a path by a given margin (points in the input path must be sorted clockwise).

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

Usually used to revert an ImageAlongPath transformation.

Translates each point of a path proportionally to its distance to a reference point.

Reverses the order of points in a path.

Rotates an array of paths clockwise around a center point.

Translates a path by a vector.

Flips and rotates a path so that x-coordinates are exchanged with y-coordinates.

Computes the area of a polygon divided by the area of a circle having the same feature.

Computes axes of an ellipse having the same first and second order moments as the given polygon.

Computes the circle with the maximal possible area contained in the input polygon.

Computes the selected second-order moment of a polygon in regular and normalized ( divided by polygon area ) variant.

Computes the area of a polygon divided by the area of its bounding rectangle.

Computes the intersection area of two convex non-intersecting polygons.

Tests which points lie inside a polygon.

Tests whether a polygon is convex.