Discrete differential geometry
Subtitle: integrable structure
By: Alexander I. Bobenko, Yuri B. Suris.
Contributors: Suris, Yuri B., 1963-
Series: Graduate studies in mathematics -- v. 98
Publisher: American Mathematical Society
Published: 2008
Place of publication: Providence, R.I
Language: eng
Number of pages: 404
ISBN-13: 9780821847008
Subjects: Integral geometry; Geometry, Differential; Discrete geometry
Description: "An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. The latter appears as a limit of a refinement of the discretization. Current interest in discrete differential geometry derives not only from its importance in pure mathematics but also from its applications in computer graphics, theoretical physics, architecture, and numerics. Rather unexpectedly, the very basic structures of discrete differential geometry turn out to be related to the theory of Integrable systems. One of the main goals of this book Is to reveal this integrable structure of discrete differential geometry." "The intended audience of this book is threefold. It is a textbook on discrete differential geometry and integrable systems suitable for a one semester graduate course. On the other hand, it is addressed to specialists in geometry and mathematical physics. It reflects the recent progress in discrete differential geometry and contains many original results. The third group of readers at which this book is targeted is formed by specialists in geometry processing, computer graphics, architectural design, numerical simulations, and animation. They may find here answers to the question "How do we discretize differential geometry?" arising in their specific field."--Jacket.
Notes: Includes bibliographical references and index.