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TitleAlgebraic geometry and computer vision : Polynomial systems, Real and Complex Roots
Author(s) Sylvain Petitjean
TextS. Petitjean. Algebraic geometry and computer vision : Polynomial systems, real and complex roots. Journal of Mathematical Imaging and Vision, 10:191-220, 1999.
TypeArticle in Journal
AbstractWe review the different techniques known for doing exact computations on polynomial systems. Some are based on the use of Grobner bases and linear algebra, others on the more classical resultants and its modern counterparts. Many theoretical examples of the use of these techniques are given. Furthermore, a full set of examples of applications in the domain of artificial vision, where many constraints boil down to polynomial systems, are presented. Emphasis is also put on very recent methods for determining the number of (isolated) real and complex roots of such systems.
Keywordspolynomial systems, symbolic computation, resultants, computer vision applications
JournalJournal of Mathematical Imaging and Vision
Pages191 - 220
Translation No
Refereed No