Geometry 3D

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.