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Optical Engineering

Method for aligning any-order polynomial surfaces in three-dimensional space
Author(s): Nicolas Alvertos
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Paper Abstract

A theoretically sound and computationally inexpensive method is proposed for expressing in a canonical form not only quadratic, but any-degree polynomial surfaces, thus enabling the alignment of 3-D objects composed of such surfaces to a standard coordinate system. Furthermore, an analytical proof of the lower upper bound for convergence is presented, by which the efficiency of the proposed method is verified. Experiments are conducted with up to sixth-degree polynomial surfaces, thus demonstrating the method converges to the desired results within a few steps.

Paper Details

Date Published: 1 April 2002
PDF: 13 pages
Opt. Eng. 41(4) doi: 10.1117/1.1457457
Published in: Optical Engineering Volume 41, Issue 4
Show Author Affiliations
Nicolas Alvertos, Agricultural Univ. of Athens (Greece)

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