Module nalgebra::geometry

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[Reexported at the root of this crate.] Data structures for points and usual transformations (rotations, isometries, etc.)

Structs§

  • A dual quaternion.
  • A direct isometry, i.e., a rotation followed by a translation (aka. a rigid-body motion).
  • A point in an euclidean space.
  • A 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.
  • A reflection wrt. a plane.
  • A rotation matrix.
  • A scale which supports non-uniform scaling.
  • A similarity, i.e., an uniform scaling, followed by a rotation, followed by a translation.
  • A transformation matrix in homogeneous coordinates.
  • A translation.

Enums§

  • 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 Aliases§

  • 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.