Algebraic geometry and geometric modeling either care for curves and surfaces generated by way of polynomial equations. Algebraic geometry investigates the theoretical homes of polynomial curves and surfaces; geometric modeling makes use of polynomial, piecewise polynomial, and rational curves and surfaces to construct desktop types of mechanical elements and assemblies for business layout and manufacture.The NSF backed the four-day 'Vilnius Workshop on Algebraic Geometry and Geometric Modeling', which introduced jointly a few of the most sensible specialists within the study groups to check a variety of issues of curiosity to either fields. This quantity is an outgrowth of that workshop. integrated are surveys, tutorials, and study papers. moreover, the editors have integrated a translation of Minding's 1841 paper, 'On the choice of the measure of an equation bought through elimination', which foreshadows the fashionable program of combined volumes in algebraic geometry. the amount is acceptable for mathematicians, desktop scientists, and engineers attracted to purposes of algebraic geometry to geometric modeling.
Read Online or Download Topics in Algebraic Geometry and Geometric Modeling: Workshop on Algebraic Geometry and Geometric Modeling, July 29-August 2, 2002, Vilnius University, Lithuania (Contemporary Mathematics) PDF
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