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We compute precise estimates for dimensions of 3D-encryption techniques of3D-point clouds which use permutations and rigid body motion, in whichgeometric stability is to be guaranteed. Few attempts are made in thisdirection. An attempt is established using the notions of dimensional andspatial stability by Jolfaei et al. (2015), who also proposed a 3D objectencryption algorithm, claiming that it preserves dimensional and spatialstability. However, as we mathematically prove neither the algorithm, nor theassociated estimates are correct. We introduce more rigorous definitions of thegeometric stability of such 3D data encryption algorithms, followed bydimensionality measures

Geometric Stability Estimates For 3D-Object Encryption Through Permutations and Rotations