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Computational Geometry: Lectures at the Morningside Center of Mathematics
 
Edited by: Ren-Hong Wang Dalian University of Technology, Dalian, PRC
A co-publication of the AMS and International Press of Boston
Front Cover for Computational Geometry
Available Formats:
Softcover ISBN: 978-0-8218-2044-5
Product Code: AMSIP/34
List Price: $74.00
MAA Member Price: $66.60
AMS Member Price: $59.20
Electronic ISBN: 978-1-4704-3823-4
Product Code: AMSIP/34.E
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $111.00
MAA Member Price: $99.90
AMS Member Price: $88.80
Front Cover for Computational Geometry
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  • Front Cover for Computational Geometry
  • Back Cover for Computational Geometry
Computational Geometry: Lectures at the Morningside Center of Mathematics
Edited by: Ren-Hong Wang Dalian University of Technology, Dalian, PRC
A co-publication of the AMS and International Press of Boston
Available Formats:
Softcover ISBN:  978-0-8218-2044-5
Product Code:  AMSIP/34
List Price: $74.00
MAA Member Price: $66.60
AMS Member Price: $59.20
Electronic ISBN:  978-1-4704-3823-4
Product Code:  AMSIP/34.E
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $111.00
MAA Member Price: $99.90
AMS Member Price: $88.80
  • Book Details
     
     
    AMS/IP Studies in Advanced Mathematics
    Volume: 342003; 235 pp
    MSC: Primary 35; Secondary 76; 46;

    Computational geometry is a borderline subject related to pure and applied mathematics, computer science, and engineering. The book contains articles on various topics in computational geometry based on invited lectures and contributed papers presented during the program on computational geometry at the Morningside Center of Mathematics at the Chinese Academy of Sciences (Beijing).

    The opening article by R.-H. Wang gives a nice survey of various aspects of computational geometry, many of which are discussed in detail in the volume. Topics of the other articles include problems of optimal triangulation, splines, data interpolation, problems of curve and surface design, problems of shape control, quantum teleportation, and more.

    The book is suitable for graduate students and researchers interested in computational geometry and specialists in theoretical computer science.

    Readership

    Graduate students and research mathematicians interested in computational geometry; specialists in theoretical computer science.

  • Table of Contents
     
     
    • Chapters
    • On computational geometry
    • Geometry for analysis of corneal shape
    • Approximate implicitization of rational surfaces
    • A geometric approach to $\dim S_2^1(\Delta _{MS})$
    • Subdivision for $C^1$ surface interpolation
    • A permanence principle for shape control
    • Blending several implicit algebraic surfaces with ruled surfaces
    • Lagrange interpolation by splines on triangulations
    • Quantum teleportation and spin echo: A unitary symplectic spinor approach
    • The generalization of Pascal’s theorem and Morgan-Scott’s partition
    • ‘Optimal’ triangulation of surfaces and bodies
    • Multivariate spline and geometry
    • Geometric continuous B-spline—A generalization of the approach of $\gamma $-spline
    • Adaptive and smooth surface construction by triangular A-patches
    • A B-spline function in $s_3^1(R^3,\Delta _2^*)$
  • Request Review Copy
Volume: 342003; 235 pp
MSC: Primary 35; Secondary 76; 46;

Computational geometry is a borderline subject related to pure and applied mathematics, computer science, and engineering. The book contains articles on various topics in computational geometry based on invited lectures and contributed papers presented during the program on computational geometry at the Morningside Center of Mathematics at the Chinese Academy of Sciences (Beijing).

The opening article by R.-H. Wang gives a nice survey of various aspects of computational geometry, many of which are discussed in detail in the volume. Topics of the other articles include problems of optimal triangulation, splines, data interpolation, problems of curve and surface design, problems of shape control, quantum teleportation, and more.

The book is suitable for graduate students and researchers interested in computational geometry and specialists in theoretical computer science.

Readership

Graduate students and research mathematicians interested in computational geometry; specialists in theoretical computer science.

  • Chapters
  • On computational geometry
  • Geometry for analysis of corneal shape
  • Approximate implicitization of rational surfaces
  • A geometric approach to $\dim S_2^1(\Delta _{MS})$
  • Subdivision for $C^1$ surface interpolation
  • A permanence principle for shape control
  • Blending several implicit algebraic surfaces with ruled surfaces
  • Lagrange interpolation by splines on triangulations
  • Quantum teleportation and spin echo: A unitary symplectic spinor approach
  • The generalization of Pascal’s theorem and Morgan-Scott’s partition
  • ‘Optimal’ triangulation of surfaces and bodies
  • Multivariate spline and geometry
  • Geometric continuous B-spline—A generalization of the approach of $\gamma $-spline
  • Adaptive and smooth surface construction by triangular A-patches
  • A B-spline function in $s_3^1(R^3,\Delta _2^*)$
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