In mathematics, a rigid transformation (also called Euclidean transformation or Euclidean isometry) is a geometric transformation of a Euclidean space...

instance, active transformations are useful to describe successive positions of a rigid body. On the other hand, passive transformations may be useful in...

In physics, a rigid body, also known as a rigid object, is a solid body in which deformation is zero or negligible, when a deforming pressure or deforming...

Infinitesimal transformation Linear transformation List of transforms Rigid transformation Transformation geometry Transformation semigroup Transformation group...

Coordinate transformation Erlangen program Symmetry (geometry) Motion Reflection Rigid transformation Rotation Topology Transformation matrix Usiskin...

(computer vision) Rigid transformation Transformation (function) Transformation geometry Gentle, James E. (2007). "Matrix Transformations and Factorizations"...

non-rigid registration yields a non-rigid transformation which maps one point set to the other. Non-rigid transformations include affine transformations such...

functions) Rigid body, in physics, a simplification of the concept of an object to allow for modelling Rigid transformation, in mathematics, a rigid transformation...

mechanics Lagrangian mechanics Lagrangian Hamiltonian mechanics Rigid body Rigid transformation Rigid rotor Soft-body dynamics Multibody system Polhode Herpolhode...

every rigid transformation that is not a rigid motion is the product of r and a rigid motion. A glide reflection is an example of a rigid transformation that...

stretch and its long edges are rigid, and in the rigid-edge transformation its long edges compress and its short edges are rigid. Everything in the descriptions...

sequence of rigid transformations along links and around joints in a mechanical system. The principle that the sequence of transformations around a loop...

non-rigid body, from an initial configuration to a final configuration, excluding the body's average translation and rotation (its rigid transformation)...

a robotic arm or the human skeleton. Geometric transformations, including called rigid transformations, are used to describe the movement of components...

infinitesimal transformation is a limiting form of small transformation. For example one may talk about an infinitesimal rotation of a rigid body, in three-dimensional...

application of Clifford algebra to modelling planes, lines, points, and rigid transformations. Generally this is with the goal of solving applied problems involving...

affine transformations: those where the determinant of A {\displaystyle A} is positive. In the last case this is in 3D the group of rigid transformations (proper...

)\end{bmatrix}}} Geometric transformation Improper rotation Linear transformation Orthogonal matrix Rigid transformation Unitary transformation Rowland, Todd. "Orthogonal...

realization, if it exists, is unique up to rigid transformations, i.e. distance-preserving transformations of Euclidean space (rotations, reflections...

to represent rigid transformations in three dimensions. Since the space of dual quaternions is 8-dimensional and a rigid transformation has six real degrees...

a combination of translations, rotations (together also called rigid transformations), and uniform scalings. In other words, the shape of a set of points...

rigid transformations such as rotations or translations, but which does not transform like a vector under certain discontinuous rigid transformations...

obtained using a rigid transformation [Z] to characterize the relative movement allowed at each joint and separate rigid transformation [X] to define the...

automorphisms are often called transformations, for example rigid transformations, affine transformations, projective transformations. Category theory, which...

a transformation of an object in space and time. If this transformation preserves size and shape of the object it is known as a Rigid Transformation. Rigid...

The elements of a space group (its symmetry operations) are the rigid transformations of the pattern that leave it unchanged. In three dimensions, space...

an orthogonal transformation (an origin-preserving rigid transformation) with a uniform scaling (dilation). All similarity transformations (which globally...

aligning three dimensional models given an initial guess of the rigid transformation required. The ICP algorithm was first introduced by Chen and Medioni...

A real unitary matrix is an orthogonal matrix, which describes a rigid transformation (an isometry of Euclidean space R k {\displaystyle \mathbb {R} ^{k}}...

dimension. This means: applying a rigid transformation, followed by a translation and then the inverse rigid transformation, has the same effect as a single...