Algebraic geometry and geometric modeling either care for curves and surfaces generated by means 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 laptop types of mechanical parts and assemblies for commercial layout and manufacture.The NSF backed the four-day 'Vilnius Workshop on Algebraic Geometry and Geometric Modeling', which introduced jointly the various best specialists within the learn groups to check a variety of subject matters of curiosity to either fields. This quantity is an outgrowth of that workshop. incorporated are surveys, tutorials, and study papers. additionally, the editors have incorporated a translation of Minding's 1841 paper, 'On the choice of the measure of an equation bought by way of elimination', which foreshadows the trendy software of combined volumes in algebraic geometry. the quantity is appropriate for mathematicians, computing device scientists, and engineers drawn to purposes of algebraic geometry to geometric modeling.
Read 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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