Computational Geometry :Lectures at the Morningside Center of Mathematics ( AMS/IP Studies in Advanced Mathematics )

Publication subTitle :Lectures at the Morningside Center of Mathematics

Publication series :AMS/IP Studies in Advanced Mathematics

Author: Ren-Hong Wang  

Publisher: American Mathematical Society‎

Publication year: 2017

E-ISBN: 9781470438234

P-ISBN(Paperback): 9780821820445

Subject: O175 differential equations, integral equations

Keyword: 暂无分类

Language: ENG

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Computational Geometry

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, which are based on invited lectures and some contributed papers presented by researchers working during the program on Computational Geometry at the Morningside Center of Mathematics of the Chinese Academy of Science. The opening article by R.-H. Wang gives a nice survey of various aspects of computational geometry, many of which are discussed in more detail in other papers in the volume. The topics include problems of optimal triangulation, splines, data interpolation, problems of curve and surface design, problems of shape control, quantum teleportation, and others.

Chapter

Title page

Contents

Series Preface

Acknowledgement

Credit for the quotes in the article “Quantum Teleportation and Spin Echo”

List of attendants

On computational geometry

Geometry for analysis of corneal shape

Approximate implicitization of rational surfaces

A geometric approach to dim𝑆₂¹(Δ_{𝑀𝑆})

Subdivision for 𝐶¹ 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 𝛾-spline

Adaptive and smooth surface construction by triangular A-patches

A B-spline function in 𝑠₃¹(𝑅³,Δ₂*)

Back Cover

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