Topics in algebraic geometry and geometric modeling : Workshop on Algebraic Geometry and Geometric Modeling, July 29August 2, 2002, Vilnius University, Vilnius, Lithuania

Contributor(s): Goldman Ron | Krasauskas RimvydasMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 334Publication details: Providence, R.I. : American Mathematical Society, 2003Description: 1 online resource (x, 366 p. : ill.)ISBN: 9780821879245 (online)Subject(s): Curves on surfaces | Geometry, AlgebraicOnline resources: Click here to access online
Contents:
Polar forms in geometric modeling and algebraic geometry ; Interference analysis of conics and quadrics ; Geometrically continuous octahedron ; Smoothness, fairness and the need for better multisided patches ; Toric Bezier patches with depth ; On the uniqueness of barycentric coordinates ; Rational Ron Goldman ; Wenping Wang and Rimvydas Krasauskas ; Raimundas Vidunas ; Jorg Peters ; Rimvydas Krasauskas and Ron Goldman ; Joe Warren ; Kestutis Karciauskas ; David Cox ; Jianmin Zheng Thomas W Sederberg EngWee Chionh and David A Cox ; Tor Dokken and Jan Brede Thomassen ; Josef Schicho ; David Cox ; Frank Sottile ; David Cox Rimvydas Krasauskas and Mircea Mustata ; Claire Delaunay ; J Maurice Rojas ; Laurent Buse Mohamed Elkadi and Bernard Mourrain ; Ivan Soprounov ; Ferdinand Minding
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Includes bibliographical references and index.

Polar forms in geometric modeling and algebraic geometry ; Interference analysis of conics and quadrics ; Geometrically continuous octahedron ; Smoothness, fairness and the need for better multisided patches ; Toric Bezier patches with depth ; On the uniqueness of barycentric coordinates ; Rational atches and tensorborder patches ; Curves, surfaces, and syzygies ; Implicitizing rational surfaces with base points using the method of moving surfaces ; Overview of approximate implicitization ; Algorithms for rational surfaces ; What is a toric variety? ; Toric ideals, real toric varieties, and the moment map ; Universal rational parametrizations and toric varieties ; Real structures on smooth compact toric surfaces ; Why polyhedra matter in nonlinear equation solving ; Using projection operators in computer aided geometric design ; On combinatorial coefficients and the GelfondKhovanskii residue formula ; On the determination of the degree of an equation obtained by elimination Ron Goldman ; Wenping Wang and Rimvydas Krasauskas ; Raimundas Vidunas ; Jorg Peters ; Rimvydas Krasauskas and Ron Goldman ; Joe Warren ; Kestutis Karciauskas ; David Cox ; Jianmin Zheng Thomas W Sederberg EngWee Chionh and David A Cox ; Tor Dokken and Jan Brede Thomassen ; Josef Schicho ; David Cox ; Frank Sottile ; David Cox Rimvydas Krasauskas and Mircea Mustata ; Claire Delaunay ; J Maurice Rojas ; Laurent Buse Mohamed Elkadi and Bernard Mourrain ; Ivan Soprounov ; Ferdinand Minding

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