Förlagets beskrivning
Algebraic geometry and geometric modeling both deal with curves and
surfaces generated by polynomial equations. Algebraic geometry investigates the
theoretical properties of polynomial curves and surfaces; geometric modeling
uses polynomial, piecewise polynomial, and rational curves and surfaces to
build computer models of mechanical components and assemblies for industrial
design and manufacture. The NSF sponsored the four-day ''Vilnius Workshop on
Algebraic Geometry and Geometric Modeling'', which brought together some of the
top experts in the two research communities to examine a wide range of topics
of interest to both fields. This volume is an outgrowth of that workshop.
Included are surveys, tutorials, and research papers. In addition, the editors
have included a translation of Minding's 1841 paper, ''On the determination of
the degree of an equations obtained by elimination'', which foreshadows the
modern application of mixed volumes in algebraic geometry. The volume is
suitable for mathematicians, computer scientists, and engineers interested in
applications of algebraic geometry to geometric modeling. Surveys, tutorials, and research papers from a summer 2002 workshop examine
a range of topics in algebraic geometry and geometric modeling. Papers are
divided into sections on modeling curves and surfaces, multisided patches,
implicitization and parametrization, topic varieties, and mixed volume and
resultants, and papers from both disciplines are
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Topics in Algebraic Geometry and Geometric Modeling: Workshop on Algebraic Geometry and Geometric Modeling, July 29-August 2, 2002, Vilnius University, Lithuania
Bokrecensioner » Topics in Algebraic Geometry and Geometric Modeling: Workshop on Algebraic Geometry and Geometric Modeling, July 29-August 2, 2002, Vilnius University, Lithuania (Contemporary Mathematics)
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