Computational Geometry: Lectures at the Morningside Center
of Mathematics
Edited by:
Ren-Hong Wang, Dalian University of Technology, PRC
Description
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 copublished with International Press, Cambridge,
MA.
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 $s_3^1(R^3,\Delta_2^*)$
Details:
- Publisher: International Press, American Mathematical Society,
- Series: AMS/IP Studies in Advanced Mathematics, ISSN: 1089-3288
- Volume: 34
- Publication Year: 2003
- ISBN: 0-8218-2044-3
- Paging: 235 pp.
- Binding: Softcover
- List Price: $59