LinearTransformation

Returns a pixmap with a linear transformation applied.

Syntax

• LinearTransformation(pm, A)

  • pm is a pixmap

  • A is a non-singular 2×2 real matrix

Description

LinearTransformation(pm, A) returns pm after the pixels has been moved by the mapping p ↦ A⋅p with the origin of ℝ² at the centre of pm. The canvas of the pixmap is not enlarged or shrunk.

Examples

A ≔ ❨❨1.2, 0.6❩, ❨0.9, 1.4❩❩

⎛1.2  0.6⎞
⎝0.9  1.4⎠

LinearTransformation(ExampleData("Sally"), A)

See also

• rotate

• rot90p

• rot90n

• rot180

• flip

• scale

• stretch

• shear

• transformation