Abstract | ||
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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. |
Year | DOI | Venue |
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2000 | 10.1006/aama.1999.0679 | Advances in Applied Mathematics |
Keywords | Field | DocType |
geometric model,object recognition,independent set,algebraic curve | Combinatorics,Dimension of an algebraic variety,Function field of an algebraic variety,Mathematical analysis,Algebraic surface,Geometric invariant theory,Algebraic function,Algebraic cycle,Algebraic graph theory,Real algebraic geometry,Mathematics | Journal |
Volume | Issue | ISSN |
24 | 1 | 0196-8858 |
Citations | PageRank | References |
17 | 0.99 | 3 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mustafa Ünel | 1 | 154 | 20.71 |
William A. Wolovich | 2 | 74 | 7.69 |