Module transform

Transforms are used to describe the location, rotation, scaling and mirroring of geometric shapes.

Structs

ComplexTransform

Transformation described by a mirroring at the x axis, then a rotation around the origin, then a scaling, then a translation. This transformation allows rotations by arbitrary angles.

Matrix2dTransform

Description of a transformation in the euclidean plane by a 2x2 matrix A. Transforming a point p is computed by the matrix product A*p.

Matrix3dTransform

Affine transformation represented as a 3x3 matrix like:

Rot90Transform

Transformation that consists only of a rotation by a multiple of 90 degrees around the origin (0, 0).

SimpleTransform

Describes a geometric transformation that consists of a optional mirroring along the x-axis followed by a rotation by a multiple of 90 degrees followed by a displacement.

Traits

AffineTransform

Geometric transformation which preserves parallelism. Adds ‘shear’ to the SimilarityTransform.

DisplacementTransform

Geometric transformation which preserves oriented angles and distances (i.e. translation).

IsometricTransform

Geometric transformation which preserves angles and distances (e.g. euclidean transform).

IsometricTransform90

Geometric transformation which preserves angles and distances (e.g. euclidean transform) but allows only rotations by a multiple of 90 degrees.

SimilarityTransform

Geometric transformation which preserves angles and ratios of distances. Adds resizing to the IsometricTransform.

SimilarityTransform90

Geometric transformation which preserves angles and ratios of distances. Adds resizing by integer numbers to the IsometricTransform90.

Transformation

General geometric transformation.