Tangency of conics and quadrics

Authors:
Sudanthi N. R. Wijewickrema;Andrew P. Paplinski;Charles E. Esson
Affiliations:
Clayton School of Information Technology, Monash University, Australia;Clayton School of Information Technology, Monash University, Australia;Colour Vision Systems Ltd., Bacchus Marsh, Australia
Venue:
ISCGAV'06 Proceedings of the 6th WSEAS International Conference on Signal Processing, Computational Geometry & Artificial Vision
Year:
2006

Citing 5
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Abstract

Our paper discusses a simple way of determining tangency of conics using the concept of pencils of conics and the pole-polar relationship. We discuss the method, analyze the different situations of tangency for conics, and extend it to find the tangency of quadrics in 3d space. Although the basic theory behind it is known [5], the novelty of the method lies in the efficient and robust way of solving the tangency problem and its successful application to a real-life problem: namely, the modelling of fruit on rollers for fruit grading. The simplicity of the calculation makes it attractive for applications where speed is of importance.