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Computational Geometry: Lectures at the Morningside Center of Mathematics
Edited by: Ren-Hong Wang, Dalian University of Technology, PRC
A co-publication of the AMS and International Press of Boston, Inc..

AMS/IP Studies in Advanced Mathematics
2003; 235 pp; softcover
Volume: 34
ISBN-10: 0-8218-2044-3
ISBN-13: 978-0-8218-2044-5
List Price: US$69
Member Price: US$55.20
Order Code: AMSIP/34
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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.

Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.


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

Table of Contents

  • R.-H. Wang -- On computational geometry
  • B. A. Barsky -- Geometry for analysis of corneal shape
  • C. Falai -- Approximate implicitization of rational surfaces
  • H. Du -- A geometric approach to \(\dim S_2^1(\Delta _{MS})\)
  • N. Dyn, S. Hed, and D. Levin -- Subdivision for \(C^1\) surface interpolation
  • G. Farin and D. Hansford -- A permanence principle for shape control
  • G. Feng, T. Wu, K. Yu, S. Zhang, and Y. Zhou -- Blending several implicit algebraic surfaces with ruled surfaces
  • G. Nürnberger and F. Zeilfelder -- Lagrange interpolation by splines on triangulations
  • E. Binz and W. Schempp -- Quantum teleportation and spin echo: A unitary symplectic spinor approach
  • X. Shi and R.-H. Wang -- The generalization of Pascal's theorem and Morgan-Scott's partition
  • C. R. Traas -- `Optimal' triangulation of surfaces and bodies
  • R.-H. Wang -- Multivariate spline and geometry
  • Z. Wu -- Geometric continuous B-spline--A generalization of the approach of \(\gamma\)-spline
  • G. Xu -- Adaptive and smooth surface construction by triangular A-patches
  • G. Zhao and R.-H. Wang -- A B-spline function in \(s_3^1(R^3,\Delta_2^*)\)
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