Download e-book for iPad: Curve and Surface Reconstruction: Algorithms with by Tamal K. Dey

By Tamal K. Dey

Many purposes 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 items and generate element samples on their limitations. This booklet, first released in 2007, exhibits tips on how to compute a electronic version from this aspect pattern. After constructing the fundamentals of sampling thought and its connections to varied geometric and topological houses, the writer describes a set of algorithms which have been 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 options, implicit surface-based tools and Morse theory-based tools are lined. Scientists and engineers operating in drug layout, clinical imaging, CAD, GIS, and plenty of different parts will make the most of this primary publication at the subject.

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Curve and Surface Reconstruction: Algorithms with Mathematical Analysis (Cambridge Monographs on Applied and Computational Mathematics) by Tamal K. Dey


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