Solving For The General Linear N-Ansformation Relating 3-D Objects From The Minimum Moments

D. Cyganski; S. J. Kreda; J. A. Orr

doi:10.1117/12.960275

27 March 1989 Solving For The General Linear Transformation Relating 3-D Objects From The Minimum Moments

D. Cyganski, S. J. Kreda, J. A. Orr

Proceedings Volume 1002, Intelligent Robots and Computer Vision VII; (1989) https://doi.org/10.1117/12.960275
Event: 1988 Cambridge Symposium on Advances in Intelligent Robotics Systems, 1988, Boston, MA, United States

Abstract

This paper describes an extension of previous moment based techniques for the solution of the general linear transformation that describes the relationship between two 3D objects given either a 3D density map or a sufficient number of projections of the object. It is shown that values of the second and third order 3D moments are sufficient to solve this problem. The solution technique exploits the tensor nature of the moment set to enable solution of the object transformation matrix by direct (non-iterative) means. An implementation is also described that uses a fast moment method to generate the required data from object descriptions. Experimental results are shown.

Citation Download Citation

D. Cyganski, S. J. Kreda, and J. A. Orr "Solving For The General Linear Transformation Relating 3-D Objects From The Minimum Moments", Proc. SPIE 1002, Intelligent Robots and Computer Vision VII, (27 March 1989); https://doi.org/10.1117/12.960275

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