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On the Construction of Complete Sets of Geometric Invariants for Algebraic Curves

✍ Scribed by Mustafa Unel; William A. Wolovich

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
153 KB
Volume
24
Category
Article
ISSN
0196-8858

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✦ Synopsis

We provide a solution to the important problem of constructing complete independent sets of Euclidean and affine invariants for algebraic curves. We first simplify algebraic curves through polynomial decompositions and then use some classical geometric results to construct functionally independent sets of invariants. The results presented here represent some new contributions to algebraic curve theory that can be used in many application areas, such model-based vision, object recognition, graphics, geometric modeling, and CAD.

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