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rotation of 4D data

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Valeriy on 30 Nov 2018
I have XYZ matrix of some intensity V space distribution and I need to rotate it. Values of V are placed in each voxel of XYZ matrix. Coordinate vectors are regularly spaced and known: 0...xMax, 0...yMax, 0...zMax.
I know about matrices of rotation, but if I understand correct, their application needs matices of following XYZ_ format:
XYZ_ =
x1 x2 x3 ... xMax
y1 y2 y3 ... yMax
z1 z2 z3 ... zMax
V1 V2 V3 ... VMax
It can be used too simple solution by organizing tree loops for x, y, z coordinates and shaping inside these loops this XYZ_ matrix, but it seems that should exist more clever solution. Number of voxels is in order of 10^8.
How is it possible to reshape XYZ matrix into XYZ_ one in less time consuming way and rotate it?


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