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Built-in Mathematica Symbol

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TransformationFunction

TransformationFunction[data]
represents a transformation function that applies geometric and other transformations.

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TransformationFunction works like Function.

TransformationFunction[...][vec] applies the transformation function to a vector, returning a transformed vector.

TransformationFunction works with both numerical and symbolic vectors.

For purposes of display, a -dimensional TransformationFunction is typically shown with a homogenous matrix.

Composition and InverseFunction can be used with TransformationFunction.

When possible, matrix forms for transformations can be obtained from TransformationFunction objects using TransformationMatrix.

GeometricTransformation can be used to represent the effect of applying a TransformationFunction object to geometrical or graphics objects.

Basic Examples (1)

Create a rotation transform:

This rotates the vector {x, y} by angle

Applications (2)

Properties & Relations (1)

TransformationMatrix GeometricTransformation AffineTransform RotationTransform TranslationTransform ScalingTransform

Geometric Transforms

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