By Ioannis Z Emiris,Frank Sottile,Thorsten Theobald
An unique motivation for algebraic geometry used to be to appreciate curves and surfaces in 3 dimensions. fresh theoretical and technological advances in parts resembling robotics, machine imaginative and prescient, computer-aided geometric layout and molecular biology, including the elevated availability of computational assets, have introduced those unique questions once again into the leading edge of study. One specific problem is to mix appropriate tools from algebraic geometry with confirmed ideas from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane preparations) to boost instruments for treating curved items. those study efforts can be summarized less than the time period nonlinear computational geometry.
This quantity grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by way of I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which accrued top specialists during this rising box. The examine and expository articles within the quantity are meant to supply an summary of nonlinear computational geometry. because the subject consists of computational geometry, algebraic geometry, and geometric modeling, the amount has contributions from all of those components. via addressing a vast diversity of matters from only theoretical and algorithmic difficulties, to implementation and sensible functions this quantity conveys the spirit of the IMA workshop.
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Extra resources for Nonlinear Computational Geometry: 151 (The IMA Volumes in Mathematics and its Applications)
Nonlinear Computational Geometry: 151 (The IMA Volumes in Mathematics and its Applications) by Ioannis Z Emiris,Frank Sottile,Thorsten Theobald