Softcover ISBN:  9780821820445 
Product Code:  AMSIP/34 
List Price:  $74.00 
MAA Member Price:  $66.60 
AMS Member Price:  $59.20 
Electronic ISBN:  9781470438234 
Product Code:  AMSIP/34.E 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $55.20 

Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 34; 2003; 235 ppMSC: Primary 35; Secondary 76; 46;
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.ReadershipGraduate students and research mathematicians interested in computational geometry; specialists in theoretical computer science.

Table of Contents

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 MorganScott’s partition

‘Optimal’ triangulation of surfaces and bodies

Multivariate spline and geometry

Geometric continuous Bspline—A generalization of the approach of $\gamma $spline

Adaptive and smooth surface construction by triangular Apatches

A Bspline function in $s_3^1(R^3,\Delta _2^*)$


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

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 MorganScott’s partition

‘Optimal’ triangulation of surfaces and bodies

Multivariate spline and geometry

Geometric continuous Bspline—A generalization of the approach of $\gamma $spline

Adaptive and smooth surface construction by triangular Apatches

A Bspline function in $s_3^1(R^3,\Delta _2^*)$