Details:
Title  Algebraic geometry and computer vision : Polynomial systems, Real and Complex Roots  Author(s)  Sylvain Petitjean  Text  S. Petitjean. Algebraic geometry and computer vision : Polynomial systems, real and complex roots. Journal of Mathematical Imaging and Vision, 10:191220, 1999.  Type  Article in Journal  Abstract  We 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.  Keywords  polynomial systems, symbolic computation, resultants, computer vision applications  Length  32 
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 Language  English  Journal  Journal of Mathematical Imaging and Vision  Volume  10  Pages  191  220  Year  1999  Translation 
No  Refereed 
No 
