Curve and Surface Reconstruction: Algorithms with by Tamal K. Dey PDF

By Tamal K. Dey

Many purposes in technological know-how and engineering require a electronic version of a true actual item. complicated scanning know-how has made it attainable to experiment such gadgets and generate aspect samples on their barriers. This publication, first released in 2007, indicates how one can compute a electronic version from this element pattern. After constructing the fundamentals of sampling conception and its connections to numerous geometric and topological homes, the writer describes a set of algorithms which were designed for the reconstruction challenge, together with algorithms for floor reconstruction from dense samples, from samples that aren't correctly dense and from noisy samples. Voronoi- and Delaunay-based thoughts, implicit surface-based equipment and Morse theory-based tools are coated. Scientists and engineers operating in drug layout, scientific imaging, CAD, GIS, and plenty of different components will take advantage of this primary booklet at the subject.

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