AMS/IP Studies in Advanced Mathematics 2003; 235 pp; softcover Volume: 34 ISBN10: 0821820443 ISBN13: 9780821820445 List Price: US$65 Member Price: US$52 Order Code: AMSIP/34
 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. Readership 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 MorganScott's partition
 C. R. Traas  `Optimal' triangulation of surfaces and bodies
 R.H. Wang  Multivariate spline and geometry
 Z. Wu  Geometric continuous BsplineA generalization of the approach of \(\gamma\)spline
 G. Xu  Adaptive and smooth surface construction by triangular Apatches
 G. Zhao and R.H. Wang  A Bspline function in \(s_3^1(R^3,\Delta_2^*)\)
