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Four dimensional matrix, flip (including mirror image), rotation, world coordinates and local coordinates
2022-07-06 00:47:00 【qq_ one billion four hundred and ten million eight hundred and 】
Homogeneous coordinate understanding : Homogeneous coordinates _mrdonghe The blog of -CSDN Blog _ Homogeneous coordinates
Usually matrix is used 4*4 Express
among
a11 a12 a13 Usually used to represent an object x Coordinate information axis
a21 a22 a23 Usually used to represent an object y Coordinate information axis
a31 a32 a33 Usually used to represent an object z Coordinate information axis
a41 a42 a43 Usually used to represent the origin coordinate position of an object
a14 a24 a34 Usually used to represent the translational part of an object
Specific principle of object rotation :
1. Change matrix : First, get the normal vector of the object , Then the normal vector is multiplied by the matrix coordinates of the world system of the object , Get the normal vector in the world coordinate system , And cross product with the desired normal effect in the final world coordinate system to get the desired transformation matrix .
The specific principle of object overturning mirror :
Rotation matrix
Three dimensional geometric transformation space can be viewed in the article
The relationship between matrices , And the method of finding invertible matrix
Find invertible matrix : How to use the elementary transformation method to find the inverse matrix ? - You know (zhihu.com)
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