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Geometry 3D Spatial Transforms

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Icon Name Description / Applications Modules
AlignPoint3DArrayToPlane

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

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Box2DToBox3D_AxesPlane

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

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Box3DToBox2D_AxesPlane

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

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Circle2DToCircle3D_AxesPlane

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

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Circle3DToCircle2D_AxesPlane

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

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Line2DToLine3D_AxesPlane

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

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Line3DToLine2D_AxesPlane

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

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MirrorPoint3D

Mirrors a point according to the input plane.

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MirrorPoint3DArray

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

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Point2DToPoint3D_AxesPlane

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

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Point3DToPoint2D_AxesPlane

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

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Points2DToPoints3D_AxesPlane

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

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Points3DToPoints2D_AxesPlane

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

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ProjectLineOntoPlane3D

Projects a line 3D onto a plane.

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ProjectPoint2DOntoPlane3D

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

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ProjectPointOnLine3D

Projects a point 3D onto a line in 3D.

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ProjectPointOntoPlane3D

Projects a point 3D onto a plane.

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ProjectPointOrthogonal

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

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ProjectPointPerspective

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

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RescaleBox3D

Changes the distances of box in 3D to a reference point.

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RescaleCircle3D

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

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RescaleLine3D

Changes the input line in 3D distance to a reference point.

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RescalePlane

Changes the input plane distance to a reference point.

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RescalePoint3D

Changes the distance of a point to a reference point.

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RescalePoint3DArray

Changes the distances of array points to a reference point.

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RescaleSegment3D

Lengthens or shortens a segment in 3D relatively.

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RescaleVector3D

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

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ResizeBox3D

Changes the dimensions of a box in 3D.

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ResizeBox3D_Delta

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

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ResizeBox3D_Relative

Resizes a box in 3D to relatively defined dimensions.

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ResizeCircle3D

Changes radius of a circle in 3D.

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ResizeCircle3D_Delta

Changes radius of a circle in 3D by adding a value.

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ResizeSegment3D

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

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ResizeSegment3D_Delta

Changes length of a segment in 3D by adding a value preserving its orientation and center point.

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ResizeVector3D

Lengthens or shortens a 3D vector preserving its direction.

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ResizeVector3D_Delta

Extends length of a 3D vector by adding a value preserving its direction.

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ReverseSegment3D

Swaps the two endpoints of a segment in 3D.

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RotateCircle3D

Rotates a circle in 3D around an axis in 3D.

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RotateCircle3D_AroundSegment

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

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RotateLine3D

Rotates a line in 3D around an axis in 3D.

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RotateLine3D_AroundSegment

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

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RotatePlane

Rotates a plane in 3D around an axis in 3D.

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RotatePlane_AroundSegment

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

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RotatePoint3D

Rotates a 3D point around an axis in 3D.

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RotatePoint3D_AroundSegment

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

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RotatePoint3DArray

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

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RotatePoint3DArray_AroundSegment

Rotates an array of 3D points around a segment (the axis).

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RotateSegment3D

Rotates a segment in 3D around an axis in 3D.

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RotateSegment3D_AroundSegment

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

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RotateVector3D

Rotates a 3D vector around another 3D vector (the axis).

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Segment2DToSegment3D_AxesPlane

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

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Segment3DToSegment2D_AxesPlane

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

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Segments2DToSegments3D_AxesPlane

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

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Segments3DToSegments2D_AxesPlane

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

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SplitPointsByPlane

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

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TransformCircle3D

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

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TransformLine3D

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

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TransformPlane

Applies a general transformation expressed by a matrix to a plane.

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TransformPoint3D

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

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TransformPoint3DArray

Applies a general transformation expressed by a matrix to an array of 3D points.

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TransformSegment3D

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

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TransformVector3D

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

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TranslateBox3D

Shifts a box in 3D by a vector.

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TranslateCircle3D

Shifts a circle in 3D by a vector.

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TranslateLine3D

Shifts a line in 3D by a vector.

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TranslatePlane

Shifts a plane in 3D by a vector.

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TranslatePoint3D

Translates a point by a vector.

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TranslatePoint3D_Toward

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

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TranslatePoint3DArray

Translates an array of points by a vector.

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TranslateSegment3D

Shifts a segment in 3D by a vector.

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TrimLine3D

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

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TrimPoint3DArray

Removes points not contained in a box in 3D from an array.

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TrimSegment3D

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

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Vector2DToVector3D_AxesPlane

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

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Vector3DToVector2D_AxesPlane

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

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