Algebraic geometry and geometric modeling either take care of 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 machine 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 envision a variety of issues of curiosity to either fields. This quantity is an outgrowth of that workshop. incorporated are surveys, tutorials, and learn papers. furthermore, the editors have incorporated a translation of Minding's 1841 paper, 'On the selection of the measure of an equation got by means of elimination', which foreshadows the fashionable software of combined volumes in algebraic geometry. the quantity is acceptable for mathematicians, desktop scientists, and engineers drawn to purposes of algebraic geometry to geometric modeling.
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