Diagrams.Deform

Documentation

data Deformation v

Deformations are a superset of the affine transformations represented by the Transformation type. In general they are not invertable. Deformations include projective transformations. Deformation can represent other functions from points to points which are "well-behaved", in that they do not introduce small wiggles.

Constructors

Deformation (Point v -> Point v)

Instances

Semigroup (Deformation v)

Monoid (Deformation v)

class Deformable a where

Methods

deform' :: Scalar (V a) -> Deformation (V a) -> a -> a

deform' epsilon d a transforms a by the deformation d. If the type of a is not closed under projection, approximate to accuracy epsilon.

deform :: Deformation (V a) -> a -> a

deform d a transforms a by the deformation d. If the type of a is not closed under projection, deform should call deform' with some reasonable default value of epsilon.

Instances

Deformable (Point v)

(VectorSpace v, InnerSpace v, (~) * s (Scalar v), Ord s, Fractional s, Floating s, Show s, Show v) => Deformable (Located (Trail v))

(VectorSpace v, InnerSpace v, (~) * s (Scalar v), Ord s, Fractional s, Floating s, Show s, Show v) => Deformable (Path v)

asDeformation :: (HasTrie (Basis v), HasBasis v) => Transformation v -> Deformation v

asDeformation converts a Transformation to a Deformation by discarding the inverse transform. This allows reusing Transformations in the construction of Deformations.