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Computational Geometry: Lectures at the Morningside Center of Mathematics

About this Title

Ren-Hong Wang, Dalian University of Technology, Dalian, PRC, Editor

Publication: AMS/IP Studies in Advanced Mathematics
Publication Year: 2003; Volume 34
ISBNs: 978-0-8218-2044-5 (print); 978-1-4704-3823-4 (online)
DOI: https://doi.org/10.1090/amsip/034
MathSciNet review: MR2001283
MSC: Primary 00B25; Secondary 65D18

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Table of Contents

Front/Back Matter

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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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