projective_trans_hom_point_3dT_projective_trans_hom_point_3dProjectiveTransHomPoint3dProjectiveTransHomPoint3dprojective_trans_hom_point_3d (Operator)

Name

projective_trans_hom_point_3dT_projective_trans_hom_point_3dProjectiveTransHomPoint3dProjectiveTransHomPoint3dprojective_trans_hom_point_3d — Project a homogeneous 3D point using a projective transformation matrix.

Signature

Description

projective_trans_hom_point_3dprojective_trans_hom_point_3dProjectiveTransHomPoint3dProjectiveTransHomPoint3dProjectiveTransHomPoint3dprojective_trans_hom_point_3d applies the homogeneous projective transformation matrix HomMat3DHomMat3DHomMat3DHomMat3DhomMat3Dhom_mat_3d to all homogeneous input points (PxPxPxPxpxpx,PyPyPyPypypy,PzPzPzPzpzpz,PwPwPwPwpwpw) and returns an array of homogeneous output points (QxQxQxQxqxqx,QyQyQyQyqyqy,QzQzQzQzqzqz,QwQwQwQwqwqw). The transformation is described by the homogeneous transformation matrix given in HomMat3DHomMat3DHomMat3DHomMat3DhomMat3Dhom_mat_3d. This corresponds to the following equation (input and output points as homogeneous vectors):

To transform the homogeneous coordinates to Euclidean coordinates, they must be divided by QwQwQwQwqwqw: This can be achieved directly by calling projective_trans_point_3dprojective_trans_point_3dProjectiveTransPoint3dProjectiveTransPoint3dProjectiveTransPoint3dprojective_trans_point_3d. Thus, projective_trans_hom_point_3dprojective_trans_hom_point_3dProjectiveTransHomPoint3dProjectiveTransHomPoint3dProjectiveTransHomPoint3dprojective_trans_hom_point_3d is primarily useful for transforming points or point sets for which the resulting points might lie in the plane at infinity, i.e., points that potentially have QwQwQwQwqwqw = 0, for which the above division cannot be performed.

Execution Information

• Multithreading type: reentrant (runs in parallel with non-exclusive operators).
• Multithreading scope: global (may be called from any thread).
• Automatically parallelized on internal data level.

Parameters

Possible Predecessors

vector_to_hom_mat3dvector_to_hom_mat3dVectorToHomMat3dVectorToHomMat3dVectorToHomMat3dvector_to_hom_mat3d

Alternatives

projective_trans_point_3dprojective_trans_point_3dProjectiveTransPoint3dProjectiveTransPoint3dProjectiveTransPoint3dprojective_trans_point_3d

Module

Foundation