quat_rotate_point_3dT_quat_rotate_point_3dQuatRotatePoint3dQuatRotatePoint3dquat_rotate_point_3d (算子)

名称

quat_rotate_point_3dT_quat_rotate_point_3dQuatRotatePoint3dQuatRotatePoint3dquat_rotate_point_3d — 按单位四元数执行旋转。

签名

quat_rotate_point_3d( : : Quaternion, Px, Py, Pz : Qx, Qy, Qz)

Herror T_quat_rotate_point_3d(const Htuple Quaternion, const Htuple Px, const Htuple Py, const Htuple Pz, Htuple* Qx, Htuple* Qy, Htuple* Qz)

void QuatRotatePoint3d(const HTuple& Quaternion, const HTuple& Px, const HTuple& Py, const HTuple& Pz, HTuple* Qx, HTuple* Qy, HTuple* Qz)

double HQuaternion::QuatRotatePoint3d(double Px, double Py, double Pz, double* Qy, double* Qz) const

static void HOperatorSet.QuatRotatePoint3d(HTuple quaternion, HTuple px, HTuple py, HTuple pz, out HTuple qx, out HTuple qy, out HTuple qz)

double HQuaternion.QuatRotatePoint3d(double px, double py, double pz, out double qy, out double qz)

def quat_rotate_point_3d(quaternion: Sequence[float], px: float, py: float, pz: float) -> Tuple[float, float, float]

描述

Given a rotation quaternion (e.g., generated by axis_angle_to_quataxis_angle_to_quatAxisAngleToQuatAxisAngleToQuatAxisAngleToQuataxis_angle_to_quat), the operator quat_rotate_point_3dquat_rotate_point_3dQuatRotatePoint3dQuatRotatePoint3dQuatRotatePoint3dquat_rotate_point_3d can be used to rotate a 3D point (PxPxPxPxpxpx, PyPyPyPypypy, PzPzPzPzpzpz). The rotated point is returned in (QxQxQxQxqxqx, QyQyQyQyqyqy, QzQzQzQzqzqz).

The rotation of a point x by an unit quaternion q is given by

corresponds to the conjugation of a quaternion q (see quat_conjugatequat_conjugateQuatConjugateQuatConjugateQuatConjugatequat_conjugate). Note that x will be transformed into quaternion form to perform the rotation. This is done by setting the real part to zero and the three imaginary components to the three components of x.

注意

算子 quat_rotate_point_3dquat_rotate_point_3dQuatRotatePoint3dQuatRotatePoint3dQuatRotatePoint3dquat_rotate_point_3d does not check whether QuaternionQuaternionQuaternionQuaternionquaternionquaternion is a unit quaternion. If QuaternionQuaternionQuaternionQuaternionquaternionquaternion is not a unit quaternion, the result of this operator is not defined.

执行信息

参数

QuaternionQuaternionQuaternionQuaternionquaternionquaternion (输入控制)  quaternion HQuaternion, HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)

旋转四元数。

PxPxPxPxpxpx (输入控制)  real HTuplefloatHTupleHtuple (real) (double) (double) (double)

X coordinate of the point to be rotated.

PyPyPyPypypy (输入控制)  real HTuplefloatHTupleHtuple (real) (double) (double) (double)

Y coordinate of the point to be rotated.

PzPzPzPzpzpz (输入控制)  real HTuplefloatHTupleHtuple (real) (double) (double) (double)

Z coordinate of the point to be rotated.

QxQxQxQxqxqx (输出控制)  real HTuplefloatHTupleHtuple (real) (double) (double) (double)

X coordinate of the rotated point.

QyQyQyQyqyqy (输出控制)  real HTuplefloatHTupleHtuple (real) (double) (double) (double)

Y coordinate of the rotated point.

QzQzQzQzqzqz (输出控制)  real HTuplefloatHTupleHtuple (real) (double) (double) (double)

Z coordinate of the rotated point.

可能的前趋

axis_angle_to_quataxis_angle_to_quatAxisAngleToQuatAxisAngleToQuatAxisAngleToQuataxis_angle_to_quat

另见

axis_angle_to_quataxis_angle_to_quatAxisAngleToQuatAxisAngleToQuatAxisAngleToQuataxis_angle_to_quat, quat_to_hom_mat3dquat_to_hom_mat3dQuatToHomMat3dQuatToHomMat3dQuatToHomMat3dquat_to_hom_mat3d, quat_composequat_composeQuatComposeQuatComposeQuatComposequat_compose, quat_normalizequat_normalizeQuatNormalizeQuatNormalizeQuatNormalizequat_normalize, quat_conjugatequat_conjugateQuatConjugateQuatConjugateQuatConjugatequat_conjugate, quat_interpolatequat_interpolateQuatInterpolateQuatInterpolateQuatInterpolatequat_interpolate, dual_quat_trans_point_3ddual_quat_trans_point_3dDualQuatTransPoint3dDualQuatTransPoint3dDualQuatTransPoint3ddual_quat_trans_point_3d, dual_quat_trans_line_3ddual_quat_trans_line_3dDualQuatTransLine3dDualQuatTransLine3dDualQuatTransLine3ddual_quat_trans_line_3d

模块

基础