Start » Filter Reference » Geometry 3D
Geometry 3D
Geometry 3D Angle Metrics |
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Icon | Name | Description / Applications | Modules | |
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AngleBetweenLines3D | ![]() |
Measures the smaller and the larger angle between two lines in 3D. |
Vision3DLite |
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AngleBetweenPlanes | ![]() |
Measures the smaller and the larger angle between two planes in 3D. |
Vision3DLite |
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AngleBetweenSegments3D | ![]() |
Measures the angle between two segments in 3D. |
Vision3DLite |
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AngleBetweenThreePoints3D | ![]() |
Measures the angle defined by three consecutive points in 3D. |
Vision3DLite |
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AngleBetweenVectors3D | ![]() |
Measures the angle between two vectors in 3D. |
Vision3DLite |
Geometry 3D Basics |
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Icon | Name | Description / Applications | Modules | |
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CreateBox3D | ![]() |
Creates a box in 3D. |
Vision3DLite |
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CreateSegment3D | ![]() |
Produces a segment in 3D of given parameters. |
Vision3DLite |
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LoadPoint3DArrayFromTextFile | ![]() |
Loads arrays of 3D points from text file. |
Vision3DLite |
RandomPoint3D | ![]() |
Creates random 3D point inside given box. |
Vision3DLite | |
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SkipEmptyBox3D | ![]() |
If the input box in 3D has all dimensions different from zero, then it is copied to the output; otherwise Nil is returned. Secures against domain errors caused by empty boxes. |
Vision3DLite |
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TestBox3DEmpty | ![]() |
Tests whether the box in 3D is empty. |
Vision3DLite |
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TestBox3DInBox3D | ![]() |
Tests whether a box in 3D is contained in another one. |
Vision3DLite |
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TestBox3DIntersectsWith | ![]() |
Tests whether two boxes in 3D have non-empty intersection. |
Vision3DLite |
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TestBox3DNotEmpty | ![]() |
Tests whether the box in 3D is not empty. |
Vision3DLite |
Geometry 3D Constructions |
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Icon | Name | Description / Applications | Modules | |
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CircleThroughPoints3D | ![]() |
Computes a circle in 3D passing through three noncollinear 3D points. |
Vision3DLite |
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LineThroughPoint3D | ![]() |
Computes a line in 3D passing through a point with given direction. |
Vision3DLite |
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LineThroughPoints3D | ![]() |
Computes a line in 3D passing through two points. |
Vision3DLite |
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PlaneThroughLineAndPoint3D | ![]() |
Computes a plane passing through a line and a point in 3D. |
Vision3DLite |
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PlaneThroughPoints3D | ![]() |
Computes a plane passing through three distinct points in 3D. |
Vision3DLite |
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ProjectPointsOnLine3D | ![]() |
Projects points onto a line. |
Vision3DLite |
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VectorBetweenPoints3D | ![]() |
Computes a vector representing distance from one point in 3D to another. |
Vision3DLite |
Geometry 3D Distance Metrics |
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Icon | Name | Description / Applications | Modules | |
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CircleToPlaneDistance3D | ![]() |
Measures the distance between a circle in 3D and a plane. |
Vision3DLite |
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LineToLineDistance3D | ![]() |
Measures the distance between two lines in 3D. |
Vision3DLite |
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PointSequenceDistances3D | ![]() |
Measures the distances between consecutive points of a point sequence in 3D. |
Vision3DLite |
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PointToCircleDistance3D | ![]() |
Measures the distance between a 3D point and a circle in 3D. |
Vision3DLite |
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PointToLineDistance3D | ![]() |
Measures the distance between a 3D point and a line in 3D. |
Vision3DLite |
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PointToPlaneDistance3D | ![]() |
Measures the distance between a 3D point and a plane. |
Vision3DLite |
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PointToPointDistance3D | ![]() |
Measures the distance between two 3D points. |
Vision3DLite |
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PointToSegmentDistance3D | ![]() |
Measures the distance between a 3D point and a segment in 3D. |
Vision3DLite |
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SegmentToPlaneDistance3D | ![]() |
Measures the distance between a segment in 3D and a plane. |
Vision3DLite |
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SegmentToSegmentDistance3D | ![]() |
Measures the distance between two segments in 3D. |
Vision3DLite |
Geometry 3D Features |
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Icon | Name | Description / Applications | Modules | |
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Box3DCenter | ![]() |
Returns the center of the input box in 3D. |
Vision3DLite |
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Box3DCharacteristicPoint | ![]() |
Returns a characteristic point of a box in 3D. |
Vision3DLite |
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Box3DSurfaceArea | ![]() |
Returns the surface area of the input box in 3D. |
Vision3DLite |
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Box3DVolume | ![]() |
Returns the volume of the input box in 3D. |
Vision3DLite |
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Boxes3DBoundingBox3D_OrNil | ![]() |
Computes the bounding box 3D of given boxes in 3D; returns NIL if the array is empty. |
Vision3DLite |
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BoxesBoundingBox3D | ![]() |
Computes the bounding box 3D of given boxes in 3D. |
Vision3DLite |
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Circle3DArea | ![]() |
Computes the area of a circle in 3D. |
Vision3DLite |
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Circle3DBoundingBox | ![]() |
Computes the smallest box in 3D containing a circle in 3D. |
Vision3DLite |
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Circle3DPerimeterLength | ![]() |
Computes the length of a circle in 3D perimeter. |
Vision3DLite |
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Plane3DNormalVector | ![]() |
Computes the normal vector of a line. |
Vision3DLite |
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Plane3DOrientation | ![]() |
Computes the orientation of a plane as angles in the range from 0 to 180 between the plane and coordinate planes. |
Vision3DLite |
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Points3DMedian | ![]() |
Computes the geometric median of the input points. |
Vision3DLite |
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PointsBoundingBox3D | ![]() |
Computes the smallest box in 3D containing an array of points in 3D. |
Vision3DLite |
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PointsBoundingBox3D_OrNil | ![]() |
Computes the smallest box in 3D containing an array of points in 3D; returns NIL if the array is empty. |
Vision3DLite |
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PointsMassCenter3D | ![]() |
Computes the central point of the input points. |
Vision3DLite |
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Segment3DBisector | ![]() |
Computes a plane passing through the center of a segment in 3D at a right angle. |
Vision3DLite |
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Segment3DBoundingBox | ![]() |
Computes the smallest box in 3D containing a segment in 3D. |
Vision3DLite |
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Segment3DCenter | ![]() |
Computes the center point of a segment in 3D. |
Vision3DLite |
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Segment3DLength | ![]() |
Computes the length of a segment in 3D. |
Vision3DLite |
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Segment3DLine | ![]() |
Computes the line in 3D passing through a segment. |
Vision3DLite |
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Segment3DVector | ![]() |
Returns the vector [x2 - x1, y2 - y1, z2 - z1]. |
Vision3DLite |
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Vector3DAzimuth | ![]() |
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. |
Vision3DLite |
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Vector3DElevation | ![]() |
Computes the angle between a 3D vector's projection to the XY plane and itself measured toward Z axis, as an angle in the range from -90 to 90. |
Vision3DLite |
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Vector3DLength | ![]() |
Computes the length of a 3D vector. |
Vision3DLite |
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Vectors3DMedian | ![]() |
Computes the geometric median of the input vectors. |
Vision3DLite |
Geometry 3D Fitting |
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Icon | Name | Description / Applications | Modules | |
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AnalyzePoint3DGrid | ![]() |
Analyzes the steps in X and Y directions of a point 3D grid. |
Vision3DLite |
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FitCircle3DToHole | ![]() |
Fits a circle to a hole in a plane. |
Vision3DLite |
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FitCircleToPoints3D | ![]() |
Approximates points in 3D with a circle using selected outliers suppression method. |
Vision3DStandard |
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FitLineToPoints3D | ![]() |
Approximates points in 3D with a line using the Least Squares method. |
Vision3DStandard |
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FitLineToPoints3D_LTE | ![]() |
Approximates points in 3D with a line using Least Trimmed Error algorithm. |
Vision3DStandard |
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FitLineToPoints3D_M | ![]() |
Approximates points in 3D with a line using selected M-estimator for outlier suppression. Finding a locally optimal line in 3D. Good enough when the number of outliers is small. |
Vision3DStandard |
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FitLineToPoints3D_RANSAC | ![]() |
Approximates points in 3D with a line using a RANSAC algorithm. |
Vision3DStandard |
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FitPlaneToPoints | ![]() |
Approximates points with a plane using the Least Squares method. |
Vision3DStandard |
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FitPlaneToPoints_M | ![]() |
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. |
Vision3DStandard |
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FitSegmentToPoints3D | ![]() |
Approximates points in 3D with a segment using selected outliers suppression method. |
Vision3DStandard |
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FitSegmentToPoints3D_LTE | ![]() |
Approximates points in 3D with a segment using a RANSAC algorithm. |
Vision3DStandard |
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FitSegmentToPoints3D_RANSAC | ![]() |
Approximates points in 3D with a segment using a RANSAC algorithm. |
Vision3DStandard |
Geometry 3D Interpolations |
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Icon | Name | Description / Applications | Modules | |
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LerpPoints3D | ![]() |
Linearly interpolates between two points in 3D. |
Vision3DStandard |
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LerpSegments3D | ![]() |
Linearly interpolates between two segments in 3D. |
Vision3DStandard |
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LerpVectors3D | ![]() |
Linearly interpolates between two 3D vectors. |
Vision3DStandard |
Geometry 3D Intersections |
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Icon | Name | Description / Applications | Modules | |
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BoxIntersection3D | ![]() |
Computes the common part of two boxes in 3D. |
Vision3DLite |
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CirclePlaneIntersection3D | ![]() |
Computes common points of a circle in 3D and a plane. |
Vision3DLite |
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LineLineIntersection3D | ![]() |
Computes a common point of two lines in 3D. |
Vision3DLite |
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LinePlaneIntersection3D | ![]() |
Computes the intersection point of a line in 3D and a plane. |
Vision3DLite |
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PlanePlaneIntersection3D | ![]() |
Computes a common line in 3D of two planes. |
Vision3DLite |
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SegmentPlaneIntersection3D | ![]() |
Computes the intersection point of a segment in 3D and a plane. |
Vision3DLite |
Geometry 3D Normalizations |
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Icon | Name | Description / Applications | Modules | |
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RemoveInvalidPoints3D | ![]() |
Removes invalid 3D points from an array (i.e. points with NaN or INF coordinates). |
Vision3DLite |
Geometry 3D Relations |
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Icon | Name | Description / Applications | Modules | |
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TestLine3DThroughCircle3D | ![]() |
Tests whether a line in 3D goes through a circle in 3D. |
Vision3DLite |
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TestPoint3DInBox3D | ![]() |
Tests whether a point in 3D lies in a box in 3D. |
Vision3DLite |
Geometry 3D Spatial Transforms |
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Icon | Name | Description / Applications | Modules | |
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AlignPoint3DArrayToPlane | ![]() |
Rotates an array of 3D points with a rotation that transforms the input plane to be parallel to XY plane. |
Vision3DLite |
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Box2DToBox3D_AxesPlane | ![]() |
Projects a 2D box onto a plane defined by 3D coordinate axes. |
Vision3DLite |
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Box3DToBox2D_AxesPlane | ![]() |
Projects a 3D box onto a plane defined by coordinate axes. |
Vision3DLite |
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Circle2DToCircle3D_AxesPlane | ![]() |
Projects a 2D circle onto a plane defined by 3D coordinate axes. |
Vision3DLite |
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Circle3DToCircle2D_AxesPlane | ![]() |
Projects a 3D circle onto a plane defined by coordinate axes. |
Vision3DLite |
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Line2DToLine3D_AxesPlane | ![]() |
Projects a 2D line onto a plane defined by 3D coordinate axes. |
Vision3DLite |
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Line3DToLine2D_AxesPlane | ![]() |
Projects a 3D line onto a plane defined by coordinate axes. |
Vision3DLite |
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MirrorPoint3D | ![]() |
Mirrors a point according to the input plane. |
Vision3DLite |
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MirrorPoint3DArray | ![]() |
Mirrors each point from the array according to the input plane. |
Vision3DLite |
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Point2DToPoint3D_AxesPlane | ![]() |
Projects a 2D point onto a plane defined by 3D coordinate axes. |
Vision3DLite |
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Point3DToPoint2D_AxesPlane | ![]() |
Projects a 3D point onto a plane defined by coordinate axes. |
Vision3DLite |
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Points2DToPoints3D_AxesPlane | ![]() |
Projects an array of 2D points onto a plane defined by 3D coordinate axes. |
Vision3DLite |
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Points3DToPoints2D_AxesPlane | ![]() |
Projects an array of 3D points onto a plane defined by coordinate axes. |
Vision3DLite |
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ProjectLineOntoPlane3D | ![]() |
Projects a line 3D onto a plane. |
Vision3DLite |
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ProjectPoint2DOntoPlane3D | ![]() |
Projects a point on a plane Z=0 onto a given plane, translating it parallel to Z axis. |
Vision3DLite |
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ProjectPointOnLine3D | ![]() |
Projects a point 3D onto a line in 3D. |
Vision3DLite |
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ProjectPointOntoPlane3D | ![]() |
Projects a point 3D onto a plane. |
Vision3DLite |
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ProjectPointOrthogonal | ![]() |
Converts a point through a simple orthogonal projection, parallel to the Z axis. |
Vision3DLite |
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ProjectPointPerspective | ![]() |
Converts a point through a perspective projection, parallel to the Z axis. |
Vision3DLite |
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RescaleBox3D | ![]() |
Changes the distances of box in 3D to a reference point. |
Vision3DLite |
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RescaleCircle3D | ![]() |
Changes radius of a circle in 3D and translates its center in relation to a reference point. |
Vision3DLite |
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RescaleLine3D | ![]() |
Changes the input line in 3D distance to a reference point. |
Vision3DLite |
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RescalePlane | ![]() |
Changes the input plane distance to a reference point. |
Vision3DLite |
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RescalePoint3D | ![]() |
Changes the distance of a point to a reference point. |
Vision3DLite |
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RescalePoint3DArray | ![]() |
Changes the distances of array points to a reference point. |
Vision3DLite |
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RescaleSegment3D | ![]() |
Lengthens or shortens a segment in 3D relatively. |
Vision3DLite |
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RescaleVector3D | ![]() |
Lengthens or shortens a 3D vector relatively preserving its direction. |
Vision3DLite |
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ResizeBox3D | ![]() |
Changes the dimensions of a box in 3D. |
Vision3DLite |
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ResizeBox3D_Delta | ![]() |
Changes the dimensions of a box in 3D by adding some values. |
Vision3DLite |
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ResizeBox3D_Relative | ![]() |
Resizes a box in 3D to relatively defined dimensions. |
Vision3DLite |
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ResizeCircle3D | ![]() |
Changes radius of a circle in 3D. |
Vision3DLite |
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ResizeCircle3D_Delta | ![]() |
Changes radius of a circle in 3D by adding a value. |
Vision3DLite |
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ResizeSegment3D | ![]() |
Lengthens or shortens a segment in 3D to a new length preserving its orientation and center point. |
Vision3DLite |
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ResizeSegment3D_Delta | ![]() |
Changes length of a segment in 3D by adding a value preserving its orientation and center point. |
Vision3DLite |
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ResizeVector3D | ![]() |
Lengthens or shortens a 3D vector preserving its direction. |
Vision3DLite |
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ResizeVector3D_Delta | ![]() |
Extends length of a 3D vector by adding a value preserving its direction. |
Vision3DLite |
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ReverseSegment3D | ![]() |
Swaps the two endpoints of a segment in 3D. |
Vision3DLite |
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RotateCircle3D | ![]() |
Rotates a circle in 3D around an axis in 3D. |
Vision3DLite |
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RotateCircle3D_AroundSegment | ![]() |
Rotates a circle in 3D around a segment (the axis) in 3D. |
Vision3DLite |
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RotateLine3D | ![]() |
Rotates a line in 3D around an axis in 3D. |
Vision3DLite |
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RotateLine3D_AroundSegment | ![]() |
Rotates a line in 3D around a segment (the axis) in 3D. |
Vision3DLite |
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RotatePlane | ![]() |
Rotates a plane in 3D around an axis in 3D. |
Vision3DLite |
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RotatePlane_AroundSegment | ![]() |
Rotates a plane in 3D around a segment (the axis) in 3D. |
Vision3DLite |
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RotatePoint3D | ![]() |
Rotates a 3D point around an axis in 3D. |
Vision3DLite |
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RotatePoint3DArray | ![]() |
Rotates an array of 3D points around an axis in 3D. |
Vision3DLite |
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RotatePoint3DArray_AroundSegment | ![]() |
Rotates an array of 3D points around a segment (the axis). |
Vision3DLite |
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RotatePoint3D_AroundSegment | ![]() |
Rotates a 3D point around a segment (the axis). |
Vision3DLite |
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RotateSegment3D | ![]() |
Rotates a segment in 3D around an axis in 3D. |
Vision3DLite |
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RotateSegment3D_AroundSegment | ![]() |
Rotates a segment in 3D around a segment (the axis) in 3D. |
Vision3DLite |
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RotateVector3D | ![]() |
Rotates a 3D vector around another 3D vector (the axis). |
Vision3DLite |
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Segment2DToSegment3D_AxesPlane | ![]() |
Projects a 2D segment onto a plane defined by 3D coordinate axes. |
Vision3DLite |
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Segment3DToSegment2D_AxesPlane | ![]() |
Projects a 3D segment onto a plane defined by coordinate axes. |
Vision3DLite |
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Segments2DToSegments3D_AxesPlane | ![]() |
Projects an array of 2D segments onto a plane defined by 3D coordinate axes. |
Vision3DLite |
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Segments3DToSegments2D_AxesPlane | ![]() |
Projects an array of 3D segments onto a plane defined by coordinate axes. |
Vision3DLite |
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SplitPointsByPlane | ![]() |
Separates the points being on one side of the input plane from the others. |
Vision3DLite |
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TransformCircle3D | ![]() |
Applies a general transformation expressed by a matrix to a 3D circle. |
Vision3DLite |
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TransformLine3D | ![]() |
Applies a general transformation expressed by a matrix to a 3D line. |
Vision3DLite |
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TransformPlane | ![]() |
Applies a general transformation expressed by a matrix to a plane. |
Vision3DLite |
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TransformPoint3D | ![]() |
Applies a general transformation expressed by a matrix to a 3D point. |
Vision3DLite |
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TransformPoint3DArray | ![]() |
Applies a general transformation expressed by a matrix to an array of 3D points. |
Vision3DLite |
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TransformSegment3D | ![]() |
Applies a general transformation expressed by a matrix to a 3D segment. |
Vision3DLite |
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TransformVector3D | ![]() |
Applies a general transformation expressed by a matrix to a 3D vector. |
Vision3DLite |
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TranslateBox3D | ![]() |
Shifts a box in 3D by a vector. |
Vision3DLite |
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TranslateCircle3D | ![]() |
Shifts a circle in 3D by a vector. |
Vision3DLite |
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TranslateLine3D | ![]() |
Shifts a line in 3D by a vector. |
Vision3DLite |
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TranslatePlane | ![]() |
Shifts a plane in 3D by a vector. |
Vision3DLite |
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TranslatePoint3D | ![]() |
Translates a point by a vector. |
Vision3DLite |
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TranslatePoint3DArray | ![]() |
Translates an array of points by a vector. |
Vision3DLite |
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TranslatePoint3D_Toward | ![]() |
Translates a point in 3D towards another point in 3D by a specified distance. |
Vision3DLite |
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TranslateSegment3D | ![]() |
Shifts a segment in 3D by a vector. |
Vision3DLite |
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TrimLine3D | ![]() |
Creates a segment contained in a box in 3D from a line in 3D. |
Vision3DLite |
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TrimPoint3DArray | ![]() |
Removes points not contained in a box in 3D from an array. |
Vision3DLite |
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TrimSegment3D | ![]() |
Creates a segment contained in a box in 3D from another segment in 3D. |
Vision3DLite |
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Vector2DToVector3D_AxesPlane | ![]() |
Projects a 2D vector onto a plane defined by 3D coordinate axes. |
Vision3DLite |
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Vector3DToVector2D_AxesPlane | ![]() |
Projects a 3D vector onto a plane defined by coordinate axes. |
Vision3DLite |