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 components equivalent to 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 analysis. One specific problem is to mix acceptable tools from algebraic geometry with confirmed recommendations from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane preparations) to enhance instruments for treating curved gadgets. those study efforts will be summarized lower than the time period nonlinear computational geometry.
This quantity grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized via I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which accumulated 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 contains computational geometry, algebraic geometry, and geometric modeling, the amount has contributions from all of those components. via addressing a wide diversity of concerns from in simple terms theoretical and algorithmic difficulties, to implementation and useful functions this quantity conveys the spirit of the IMA workshop.
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Nonlinear Computational Geometry: 151 (The IMA Volumes in Mathematics and its Applications) by Ioannis Z Emiris,Frank Sottile,Thorsten Theobald