A Unified Framework of Elementary Geometric Transformation Representation
Computer Vision and Pattern Recognition
2014-07-02 v3
Abstract
As an extension of projective homology, stereohomology is proposed via an extension of Desargues theorem and the extended Desargues configuration. Geometric transformations such as reflection, translation, central symmetry, central projection, parallel projection, shearing, central dilation, scaling, and so on are all included in stereohomology and represented as Householder-Chen elementary matrices. Hence all these geometric transformations are called elementary. This makes it possible to represent these elementary geometric transformations in homogeneous square matrices independent of a particular choice of coordinate system.
Cite
@article{arxiv.1307.0998,
title = {A Unified Framework of Elementary Geometric Transformation Representation},
author = {F. Lu and Z. Chen},
journal= {arXiv preprint arXiv:1307.0998},
year = {2014}
}
Comments
26 pages, 11 figures, 1 table, 21 referneces