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Curve and surface reconstruction : = algorithms with mathematical analysis /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Curve and surface reconstruction :/ Tamal K. Dey.
Reminder of title:	algorithms with mathematical analysis /
remainder title:	Curve & Surface Reconstruction
Author:	Dey, Tamal K.
Description:	1 online resource (xiii, 214 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Curves on surfaces - Mathematical models. -
Online resource:	https://doi.org/10.1017/CBO9780511546860
ISBN:	9780511546860 (ebook)

Curve and surface reconstruction : = algorithms with mathematical analysis /
Dey, Tamal K.1964-

Curve and surface reconstruction :algorithms with mathematical analysis /Curve & Surface ReconstructionTamal K. Dey. - 1 online resource (xiii, 214 pages) :digital, PDF file(s). - Cambridge monographs on applied and computational mathematics ;23. - Cambridge monographs on applied and computational mathematics ;16..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Basics --1.

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.

ISBN: 9780511546860 (ebook)Subjects--Topical Terms:

527985
Curves on surfaces
--Mathematical models.

LC Class. No.: QA565 / .D49 2007

Dewey Class. No.: 516.3/62

Curve and surface reconstruction : = algorithms with mathematical analysis /
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 $g 1. $t Basics -- $g 2. $t Curve reconstruction -- $g 3. $t Surface samples -- $g 4. $t Surface reconstruction -- $g 5. $t Undersampling -- $g 6. $t Watertight reconstructions -- $g 7. $t Noisy samples -- $g 8. $t Noise and reconstruction -- $g 9. $t Implicit surface-based reconstructions -- $g 10. $t Morse theoretic reconstructions.
520 $a 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.
650 0 $a Curves on surfaces $x Mathematical models. $3 527985
650 0 $a Surfaces $x Mathematical models. $3 527984
650 0 $a Surfaces, Models of. $3 864351
776 0 8 $i Print version: $z 9780521863704
830 0 $a Cambridge monographs on applied and computational mathematics ; $v 16. $3 746415
856 4 0 $u https://doi.org/10.1017/CBO9780511546860