Computational geometry : lectures at Morningside Center of Mathematics
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Bibliographic Information
Computational geometry : lectures at Morningside Center of Mathematics
（AMS/IP studies in advanced mathematics, v. 34）
American Mathematical Society, c2003
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Includes bibliographical references
Description and Table of Contents
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.
Table of Contents
On computational geometry by R.-H. Wang Geometry for analysis of corneal shape by B. A. Barsky Approximate implicitization of rational surfaces by C. Falai A geometric approach to $\dim S_2^1(\Delta_{MS})$ by H. Du Subdivision for $C^1$ surface interpolation by N. Dyn, S. Hed, and D. Levin A permanence principle for shape control by G. Farin and D. Hansford Blending several implicit algebraic surfaces with ruled surfaces by G. Feng, T. Wu, K. Yu, S. Zhang, and Y. Zhou Lagrange interpolation by splines on triangulations by G. Numberger and F. Zeilfelder Quantum teleportation and spin echo: A unitary symplectic spinor approach by E. Binz and W. Schempp The generalization of Pascal's theorem and Morgan-Scott's partition by X. Shi and R.-H. Wang 'Optimal' triangulation of surfaces and bodies by C. R. Traas Multivariate spline and geometry by R.-H. Wang Geometric continuous B-spline--A generalization of the approach of $\gamma$-spline by Z. Wu Adaptive and smooth surface construction by triangular A-patches by G. Xu A B-spline function in $s_3^1(R^3,\Delta_2^*)$ by G. Zhao and R.-H. Wang.
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