Measures the smaller and the larger angle between two lines in 3D.

Measures the angle between two segments in 3D.

Measures the angle between two vectors in 3D.

Produces a segment in 3D of given parameters.

Creates random 3D point inside given box.

Tests whether the box in 3D is empty.

Tests whether two boxes in 3D have non-empty intersection.

Computes a circle in 3D passing through three noncollinear 3D points.

Computes a line in 3D passing through two points.

Computes a plane passing through three distinct points in 3D.

Computes a vector representing distance from one point in 3D to another.

Measures the distance between two lines in 3D.

Measures the distance between a 3D point and a circle in 3D.

Measures the distance between a 3D point and a plane.

Measures the distance between a 3D point and a segment in 3D.

Measures the distance between two segments in 3D.

Returns a characteristic point of a box in 3D.

Returns the volume of the input box in 3D.

Computes the bounding box 3D of given boxes in 3D.

Computes the smallest box in 3D containing a circle in 3D.

Computes the normal vector of a line.

Computes the geometric median of the input points.

Computes the smallest box in 3D containing an array of points in 3D; returns NIL if the array is empty.

Computes a plane passing through the center of a segment in 3D at a right angle.

Computes the center point of a segment in 3D.

Computes the line in 3D passing through a segment.

Computes the angle between a 3D vector's projection to the XY plane and the X axis measured toward Y axis, as an angle in the range from 0 to 360.

Computes the length of a 3D vector.

Analyzes the steps in X and Y directions of a point 3D grid.

Approximates points in 3D with a circle using selected outliers suppression method.

Approximates points in 3D with a line using Least Trimmed Error algorithm.

Approximates points in 3D with a line using a RANSAC algorithm.

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

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

Approximates points in 3D with a segment using a RANSAC algorithm.

Linearly interpolates between two points in 3D.

Linearly interpolates between two 3D vectors.

Computes common points of a circle in 3D and a plane.

Computes the intersection point of a line in 3D and a plane.

Computes the intersection point of a segment in 3D and a plane.

Tests whether a line in 3D goes through a circle in 3D.

Rotates an array of 3D points with a rotation that transforms the input plane to be parallel to XY plane.

Projects a 3D box onto a plane defined by coordinate axes.

Projects a 3D circle onto a plane defined by coordinate axes.

Projects a 3D line onto a plane defined by coordinate axes.

Mirrors each point from the array according to the input plane.

Projects a 3D point onto a plane defined by coordinate axes.

Projects an array of 3D points onto a plane defined by coordinate axes.

Projects a point on a plane Z=0 onto a given plane, translating it parallel to Z axis.

Projects a point 3D onto a plane.

Converts a point through a perspective projection, parallel to the Z axis.

Changes radius of a circle in 3D and translates its center in relation to a reference point.

Changes the input plane distance to a reference point.

Changes the distances of array points to a reference point.

Lengthens or shortens a 3D vector relatively preserving its direction.

Changes the dimensions of a box in 3D by adding some values.

Changes radius of a circle in 3D.

Lengthens or shortens a segment in 3D to a new length preserving its orientation and center point.

Lengthens or shortens a 3D vector preserving its direction.

Swaps the two endpoints of a segment in 3D.

Rotates a circle in 3D around a segment (the axis) in 3D.

Rotates a line in 3D around a segment (the axis) in 3D.

Rotates a plane in 3D around a segment (the axis) in 3D.

Rotates an array of 3D points around an axis in 3D.

Rotates a 3D point around a segment (the axis).

Rotates a segment in 3D around a segment (the axis) in 3D.

Projects a 2D segment onto a plane defined by 3D coordinate axes.

Projects an array of 2D segments onto a plane defined by 3D coordinate axes.

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

Applies a general transformation expressed by a matrix to a 3D line.

Applies a general transformation expressed by a matrix to a 3D point.

Applies a general transformation expressed by a matrix to a 3D segment.

Shifts a box in 3D by a vector.

Shifts a line in 3D by a vector.

Translates a point by a vector.

Translates a point in 3D towards another point in 3D by a specified distance.

Creates a segment contained in a box in 3D from a line in 3D.

Creates a segment contained in a box in 3D from another segment in 3D.

Projects a 3D vector onto a plane defined by coordinate axes.