Title
On the Construction of Complete Sets of Geometric Invariants for Algebraic Curves
Abstract
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
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 Ünel115420.71
William A. Wolovich2747.69