Download e-book for iPad: Nonlinear Computational Geometry: 151 (The IMA Volumes in by Ioannis Z Emiris,Frank Sottile,Thorsten Theobald
By Ioannis Z Emiris,Frank Sottile,Thorsten Theobald
An unique motivation for algebraic geometry was once to appreciate curves and surfaces in 3 dimensions. contemporary theoretical and technological advances in parts akin to robotics, laptop 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 acceptable equipment from algebraic geometry with confirmed innovations from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane preparations) to advance instruments for treating curved items. those examine efforts should be summarized below the time period nonlinear computational geometry.
This quantity grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by means of I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which amassed prime specialists during this rising box. The study and expository articles within the quantity are meant to supply an outline 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. by means of addressing a large diversity of concerns from simply theoretical and algorithmic difficulties, to implementation and functional purposes this quantity conveys the spirit of the IMA workshop.