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LinearFractionalTransform

LinearFractionalTransform[m]
gives a TransformationFunction that represents a linear fractional transformation defined by the homogeneous matrix m.

LinearFractionalTransform[{a, b, c, d}]
represents a linear fractional transformation that maps

to

.

MORE INFORMATION

LinearFractionalTransform gives a TransformationFunction which can be applied to vectors.

For ordinary linear fractional transforms in n dimensions, m is an matrix.

LinearFractionalTransform in general supports matrices for transformations in dimensions.

In LinearFractionalTransform[{a, b, c, d}], a is a matrix, b and c are vectors, and d is a scalar.

Basic Examples (1)

This creates the linear fractional transform

:

Click for copyable input

This is the corresponding formula:

TransformationMatrix AffineTransform TransformationFunction

Geometric Transforms

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