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Author Dey, Tamal K. (Tamal Krishna), 1964-

Title Curve and surface reconstruction : algorithms with mathematical analysis / Tamal K. Dey.

Publication Info. Cambridge ; New York : Cambridge University Press, [2007]

Item Status

Description 1 online resource (xiii, 214 pages) : illustrations.
Physical Medium polychrome
Description text file
Series The Cambridge monographs on applied and computational mathematics ; 23
Cambridge monographs on applied and computational mathematics ; 23.
Bibliography Includes bibliographical references (pages 207-211) and index.
Contents 1. Basics -- 2. Curve reconstruction -- 3. Surface samples -- 4. Surface reconstruction -- 5. Undersampling -- 6. Watertight reconstructions -- 7. Noisy samples -- 8. Noise and reconstruction -- 9. Implicit surface-based reconstructions -- 10. Morse theoretic reconstructions.
Summary Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Curves on surfaces -- Mathematical models.
Curves on surfaces -- Mathematical models.
Curves on surfaces.
Surfaces -- Mathematical models.
Surfaces -- Mathematical models.
Surfaces, Models of.
Surfaces, Models of.
Genre/Form Electronic books.
Other Form: Print version: Dey, Tamal K. (Tamal Krishna), 1964- Curve and surface reconstruction. Cambridge ; New York : Cambridge University Press, ©2007 0521863708 9780521863704 (DLC) 2006017359 (OCoLC)69680025
ISBN 9780511261336 (electronic book)
0511261330 (electronic book)
0511260768 (electronic book)
9780511260766 (electronic book)
9780511546860 (ebook)
0511546866 (ebook)
0521863708 (Cloth)
9780521863704 (hardback)