rotation about a point
21rotation center — the point or axis about which a body rotates …
22Quaternions and spatial rotation — Unit quaternions provide a convenient mathematical notation for representing orientations and rotations of objects in three dimensions. Compared to Euler angles they are simpler to compose and avoid the problem of gimbal lock. Compared to… …
23Euler's rotation theorem — In kinematics, Euler s rotation theorem states that, in three dimensional space, any displacement of a rigid body such that a point on the rigid body remains fixed, is equivalent to a rotation about a fixed axis through that point. The theorem is …
24Matrices de rotation — Matrice de rotation En mathématiques, et plus précisément en algèbre linéaire, une matrice de rotation est une matrice orthogonale de déterminant 1. Le nom est dû au fait qu une matrice de rotation n×n correspond à une rotation géométrique autour …
25Improper rotation — In 3D geometry, an improper rotation, also called rotoreflection or rotary reflection is, depending on context, a linear transformation or affine transformation which is the combination of a rotation about an axis and an inversion about the… …
26Matrice de rotation — En mathématiques, et plus précisément en algèbre linéaire, une matrice de rotation Q est une matrice orthogonale de déterminant 1, ce qui peut s exprimer par les équations suivantes : QtQ = I = QQt et det Q = 1, où Qt est la matrice… …
27Cardinal point (optics) — For other uses, see Cardinal point (disambiguation). In Gaussian optics, the cardinal points consist of three pairs of points located on the optical axis of an ideal, rotationally symmetric, focal, optical system. For ideal systems, the basic… …
28Zero Moment Point — is a concept related with dynamics and control of legged locomotion, e.g., for humanoid robots. It specifies the point with respect to which dynamic reaction force at the contact of the foot with the ground does not produce any moment, i.e. the… …
29Instantaneous axis of rotation — Instantaneous In stan*ta ne*ous, a. [Cf. F. instantan[ e].] [1913 Webster] 1. Done or occurring in an instant, or without any perceptible duration of time; as, the passage of electricity appears to be instantaneous. [1913 Webster] His reason saw… …
30Instantaneous center of rotation — Instantaneous In stan*ta ne*ous, a. [Cf. F. instantan[ e].] [1913 Webster] 1. Done or occurring in an instant, or without any perceptible duration of time; as, the passage of electricity appears to be instantaneous. [1913 Webster] His reason saw… …
