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Curve and Surface Reconstruction : Algorithms with Mathematical Analysis

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Title: Curve and Surface Reconstruction : Algorithms with Mathematical Analysis
Description: 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.
Authors: Tamal K. Dey
Resource Type: eBook.
Subjects: Curves on surfaces--Mathematical models, Surfaces--Mathematical models, Surfaces, Models of
Categories: MATHEMATICS / Geometry / Differential
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 179832
RelevancyScore: 1012
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1011.53295898438
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  Data: 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.
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      – Code: 516.362
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Curves on surfaces--Mathematical models
        Type: general
      – SubjectFull: Surfaces--Mathematical models
        Type: general
      – SubjectFull: Surfaces, Models of
        Type: general
    Titles:
      – TitleFull: Curve and Surface Reconstruction : Algorithms with Mathematical Analysis
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            NameFull: Tamal K. Dey
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2007
            – D: 04
              M: 02
              Type: profile
              Y: 2014
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              Value: 9780511261336
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              Value: 00023
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            – TitleFull: Curve and Surface Reconstruction : Algorithms with Mathematical Analysis
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