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

By Tamal K. Dey

Many purposes in technology and engineering require a electronic version of a true actual item. complex scanning know-how has made it attainable to experiment such gadgets and generate element samples on their limitations. This publication, first released in 2007, indicates how one can compute a electronic version from this aspect pattern. After constructing the fundamentals of sampling concept and its connections to varied geometric and topological homes, the writer describes a collection of algorithms which were designed for the reconstruction challenge, together with algorithms for floor reconstruction from dense samples, from samples that aren't thoroughly dense and from noisy samples. Voronoi- and Delaunay-based strategies, implicit surface-based equipment and Morse theory-based tools are lined. Scientists and engineers operating in drug layout, clinical imaging, CAD, GIS, and lots of different components will make the most of this primary e-book at the subject.

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