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Curves and Surfaces 7th International Conference, Avignon, France, June 24 - 30, 2010, Revised Selected Papers by Jean-Daniel Boissonnat

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Published by Springer Berlin Heidelberg in Berlin, Heidelberg .
Written in English

Subjects:

  • Computer Imaging, Vision, Pattern Recognition and Graphics,
  • Computational complexity,
  • Computer graphics,
  • Discrete Mathematics in Computer Science,
  • Simulation and Modeling,
  • Image Processing and Computer Vision,
  • Computer-Aided Engineering (CAD, CAE) and Design,
  • Computer vision,
  • Computer simulation,
  • Computer-aided design,
  • Computer science

Book details:

Edition Notes

Statementedited by Jean-Daniel Boissonnat, Patrick Chenin, Albert Cohen, Christian Gout, Tom Lyche, Marie-Laurence Mazure, Larry Schumaker
SeriesLecture Notes in Computer Science -- 6920
ContributionsChenin, Patrick, Cohen, Albert, Gout, Christian, Lyche, Tom, Mazure, Marie-Laurence, Schumaker, Larry L., 1939-, SpringerLink (Online service)
The Physical Object
Format[electronic resource] :
ID Numbers
Open LibraryOL27028525M
ISBN 109783642274138

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The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of. When a book of any kind warrants a fifth edition, there must be more than just a few things right about it. In the case of Curves and Surfaces for CAGD (Computer Aided Graphics and Design), Gerald Farin has written and maintained a definitive work on computer graphics and graphics programming.. The fourth edition of this work was published in Cited by:   The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex. Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. In all other respects, it is, thankfully, the same. This means you get the informal, friendly style and unique approach that has made Curves and Surfaces for CAGD: A Practical Guide a true classic. The book's unified treatment of all significant methods of curve and surface design is heavily focused on the movement from theory to application.

of surfaces. The first half of the book, covering the geometry of curves and surfaces, would be suitable for a one-semester undergraduate course. The local and global theories of curves and surfaces are presented, including detailed discussions of surfaces of rotation, ruled 5/5(1). Book Description. Differential Geometry of Curves and Surfaces, Second Edition takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students’ geometric intuition through interactive computer graphics applets supported by sound theory. The first half of the book, covering the geometry of curves and surfaces, would be suitable for a one-semester undergraduate course. The local and global theories of curves and surfaces are presented, including detailed discussions of surfaces of rotation, ruled surfaces, and minimal surfaces.4/5(1). Modern Differential Geometry of Curves and Surfaces with Mathematica explains how to define and compute standard geometric functions, for example the curvature of curves, and presents a dialect of Mathematica for constructing new curves and surfaces from old. The book also explores how to apply techniques from analysis.

  This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and. The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n. The book presents a comprehensive collection of nearly 1, illustrations of curves and surfaces often used or encountered in mathematics, graphics design, science, and engineering fields. One significant change with this edition is that, instead of presenting a range of realizations for most functions, this edition presents only one curve. Elementary Differential Geometry: Curves and Surfaces Edition Martin Raussen DEPARTMENT OF MATHEMATICAL SCIENCES, AALBORG UNIVERSITY FREDRIK BAJERSVEJ 7G, DK – AALBORG ØST, DENMARK, +45 96 35 88 55 E-MAIL: [email protected]