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

By Tamal K. Dey

Many functions in technological know-how 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 aspect samples on their barriers. This ebook, first released in 2007, indicates the best way to compute a electronic version from this aspect pattern. After constructing the fundamentals of sampling conception and its connections to numerous 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 accurately dense and from noisy samples. Voronoi- and Delaunay-based ideas, implicit surface-based equipment and Morse theory-based tools are lined. Scientists and engineers operating in drug layout, clinical imaging, CAD, GIS, and plenty of different parts will reap the benefits of this primary publication at the subject.

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