Algebraic geometry and geometric modeling either care for curves and surfaces generated by way of polynomial equations. Algebraic geometry investigates the theoretical houses of polynomial curves and surfaces; geometric modeling makes use of polynomial, piecewise polynomial, and rational curves and surfaces to construct machine types of mechanical parts and assemblies for commercial layout and manufacture.The NSF subsidized the four-day 'Vilnius Workshop on Algebraic Geometry and Geometric Modeling', which introduced jointly a few of the most sensible specialists within the examine groups to envision quite a lot of issues of curiosity to either fields. This quantity is an outgrowth of that workshop. integrated are surveys, tutorials, and examine papers. additionally, the editors have incorporated a translation of Minding's 1841 paper, 'On the selection of the measure of an equation got through elimination', which foreshadows the fashionable software of combined volumes in algebraic geometry. the amount is appropriate for mathematicians, laptop scientists, and engineers attracted to purposes of algebraic geometry to geometric modeling.
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Extra resources for Topics in Algebraic Geometry and Geometric Modeling: Workshop on Algebraic Geometry and Geometric Modeling, July 29-August 2, 2002, Vilnius University, Lithuania (Contemporary Mathematics)