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 computing device versions of mechanical parts and assemblies for business layout and manufacture.The NSF backed the four-day 'Vilnius Workshop on Algebraic Geometry and Geometric Modeling', which introduced jointly many of the most sensible specialists within the learn groups to ascertain a variety of subject matters of curiosity to either fields. This quantity is an outgrowth of that workshop. integrated are surveys, tutorials, and examine papers. furthermore, the editors have integrated a translation of Minding's 1841 paper, 'On the choice of the measure of an equation acquired through elimination', which foreshadows the trendy program of combined volumes in algebraic geometry. the quantity is acceptable for mathematicians, laptop 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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