Expand description
[Reexported at the root of this crate.] Data structures for points and usual transformations (rotations, isometries, etc.)
Structs
An archived
DualQuaternionAn archived
IsometryAn archived
OPointAn archived
QuaternionAn archived
RotationAn archived
ScaleAn archived
SimilarityAn archived
TranslationA dual quaternion.
The resolver for an archived
DualQuaternionA direct isometry, i.e., a rotation followed by a translation (aka. a rigid-body motion).
The resolver for an archived
IsometryA point in an euclidean space.
The resolver for an archived
OPointA 3D orthographic projection stored as a homogeneous 4x4 matrix.
A 3D perspective projection stored as a homogeneous 4x4 matrix.
A quaternion. See the type alias
UnitQuaternion = Unit<Quaternion> for a quaternion
that may be used as a rotation.The resolver for an archived
QuaternionA reflection wrt. a plane.
A rotation matrix.
The resolver for an archived
RotationA scale which supports non-uniform scaling.
The resolver for an archived
ScaleA similarity, i.e., an uniform scaling, followed by a rotation, followed by a translation.
The resolver for an archived
SimilarityA transformation matrix in homogeneous coordinates.
A translation.
The resolver for an archived
TranslationEnums
Tag representing an affine
Transform. Its bottom-row is equal to (0, 0 ... 0, 1).Tag representing the most general (not necessarily inversible)
Transform type.Tag representing the most general inversible
Transform type.Traits
Trait implemented by rotations that can be used inside of an
Isometry or Similarity.Indicates that
Self is a more specific Transform category than Other.Indicates that
Self is a more general Transform category than Other.Trait implemented by phantom types identifying the projective transformation type.
Traits that gives the
Transform category that is compatible with the result of the
multiplication of transformations with categories Self and Other.Type Definitions
A 2D affine transformation. Stored as a homogeneous 3x3 matrix.
A 3D affine transformation. Stored as a homogeneous 4x4 matrix.
A 2-dimensional direct isometry using a unit complex number for its rotational part.
A 3-dimensional direct isometry using a unit quaternion for its rotational part.
A 2-dimensional direct isometry using a rotation matrix for its rotational part.
A 3-dimensional direct isometry using a rotation matrix for its rotational part.
A point with
D elements.A statically sized 1-dimensional column point.
A statically sized 2-dimensional column point.
A statically sized 3-dimensional column point.
A statically sized 4-dimensional column point.
A statically sized 5-dimensional column point.
A statically sized 6-dimensional column point.
An invertible 2D general transformation. Stored as a homogeneous 3x3 matrix.
An invertible 3D general transformation. Stored as a homogeneous 4x4 matrix.
A 1-dimensional reflection.
A 2-dimensional reflection.
A 3-dimensional reflection.
A 4-dimensional reflection.
A 5-dimensional reflection.
A 6-dimensional reflection.
A 2-dimensional rotation matrix.
A 3-dimensional rotation matrix.
A 1-dimensional scale.
A 2-dimensional scale.
A 3-dimensional scale.
A 4-dimensional scale.
A 5-dimensional scale.
A 6-dimensional scale.
A 2-dimensional similarity.
A 3-dimensional similarity.
A 2-dimensional similarity using a rotation matrix for its rotation part.
A 3-dimensional similarity using a rotation matrix for its rotation part.
A 2D general transformation that may not be invertible. Stored as a homogeneous 3x3 matrix.
A 3D general transformation that may not be inversible. Stored as a homogeneous 4x4 matrix.
A 1-dimensional translation.
A 2-dimensional translation.
A 3-dimensional translation.
A 4-dimensional translation.
A 5-dimensional translation.
A 6-dimensional translation.
A 2D rotation represented as a complex number with magnitude 1.
A unit dual quaternion. May be used to represent a rotation followed by a
translation.
A unit quaternions. May be used to represent a rotation.