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eBook Curves and Surfaces for CAGD, Fourth Edition: A Practical Guide (Computer Science and Scientific Computing) ePub

eBook Curves and Surfaces for CAGD, Fourth Edition: A Practical Guide (Computer Science and Scientific Computing) ePub

by Gerald Farin

  • ISBN: 0122490541
  • Category: Architecture
  • Subcategory: Photo and Art
  • Author: Gerald Farin
  • Language: English
  • Publisher: Academic Press; 4 edition (October 8, 1996)
  • Pages: 429
  • ePub book: 1286 kb
  • Fb2 book: 1128 kb
  • Other: lrf lrf azw mobi
  • Rating: 4.5
  • Votes: 681

Description

Professor Gerald Farin currently teaches in the computer science and .

Professor Gerald Farin currently teaches in the computer science and engineering department at Arizona State University. He received his doctoral degree in mathematics from the University of Braunschweig, Germany, in 1979.

Curves and Surfaces for Computer-Aided Geometric Design: A Practical Guide (Computer Science and Scientific .

Curves and Surfaces for Computer-Aided Geometric Design: A Practical Guide (Computer Science and Scientific Computing). Material has been restructured into theory and applications chapters. The theory material has been streamlined using the blossoming approach; the applications material includes least squares techniques in addition to the traditional interpolation methods. In all other respects, it is, thankfully, the same.

ISBN 13: 9780122490545. This book focuses on Bezier and B-spline methods for curves, rational Bezier and B-spline curves, geometric continuity, spline interpolation, and Coons methods. Professor Gerald Farin currently teaches in the computer science and engineering department at Arizona State University.

The book's unified treatment of all significant methods of curve and surface.

Material has been restructured into theory and applications chapters. 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. The author provides complete C implementations of many of the theories he discusses, ranging from the traditional to the leading-edge.

oceedings{Farin1990CurvesAS, title {Curves and surfaces for .

Do you ask why? Well, this is a book that has different characteristic with others.

Curves and Surfaces for Computer Graphics To the memory of Pierre Etienne B´ezier (1910–1999).

Curves and Surfaces for Computer Graphics. Curves and Surfaces for Computer Graphics To the memory of Pierre Etienne B´ezier (1910–1999). Report "Curves and surfaces for CAGD: A practical guide".

Curves and surfaces are used for the computer description of parts such as car .

Curves and surfaces are used for the computer description of parts such as car bodies or hair driers; they are also used to represent scientific data such as terrain models or fossil bones. This book covers the basic theory behind all these applications and points out how theoretical concepts lead to applications. Covers all significant CAGD curve and surface design techniques - from the traditional to the experimental. Presenta topical programming exercises useful to professionals and students alike.

Geometric Design: A Practical Guide (Computer Science and Scientific Computing) .

This unified treatment of curve and surface design concepts is the Fourth Edition of the popular text, Curves and Surfaces for Computer-Aided Geometric Design, Third Edition (Academic Press, 1992). Assuming only a background in calculus and basic linear algebra, this revised and updated classic is highly accessible and should be of interest to a wide audience; from computer graphics hobbyists to software developers for CAD/CAM systems. The authors informal style makes this book very reader-friendly, and the IBM disk included in the back of the book will allow the user to gain first-hand experience with the concepts as they are explained. This book focuses on Bezier and B-spline methods for curves, rational Bezier and B-spline curves, geometric continuity, spline interpolation, and Coons methods. In this Fourth Edition, the content has been thoroughly revised and updated to include a newchapter on recursive subdivision, new material on nonrectangular topology, surface faceting, stereo lithography, and new sections on triangulations and scattered data interpolants. The disk provided in the back of the book has also been updated to include all of the data sets and the C code used in the book. Covers tensor product Bezier surfaces Includes a chapter on recursive subdivisions Incorporates new material on surface faceting, stereo lithography, and nonrectangular topology Provides many C programs and data sets on the IBM disk included with the book

Comments

Gaua Gaua
This is a beautifully illustrated use of the principles of differential geometry as it applies to practical manufacturing design problems.

The book demonstrates how any engineering drawings -- once only visualizable as "blocked out cubic shapes" (and formerly capable of being rendered into stamps and dies only via "French Curves") -- now can be easily transformed into the projections of three-dimensional parametric surfaces, where the points in the drawings are addressed individually as a triple of Euclidean coordinates on lines and surfaces in a mathematical vector space.

The author shows how an independent coordinate system, in an arbitrary vector space, is the correct language that lends itself best to mathematical explanation as well as to computer implementation of manufacturing design renderings.

Using the methodology of vector spaces, affine maps, and the technique of "piecewise linear interpolation," he takes us step-by-step through the history of computer Aided Graphic Design (CAGD). A crescendo is reached in chapter three, where he introduces the surprisingly simple algorithm of de Casteljau (the acknowledged father of CAGD), and as the saying goes, "the rest is history." From there onwards, nothing is left to the imagination: all formulations are worked out in exquisite detail with "end-of-chapter" exercises for the reader to ponder.

Actual diagrams and renderings from the Mercedes Benz design floor and a computer disk with all examples worked out, completes a tour de force at the intersection of applied and theoretical mathematics, the likes of which are unlikely to be seen again. Five stars!
Truthcliff Truthcliff
An excellent, in-depth treatment of the subject of representing curves and surfaces on a computer. Written in a clear expository style, it covers the mathematics and algorithms behind Bezier and related classes of curves. Contributed sections on the differential geometry of curves and surfaces provide an excellent introduction to the mathematical framework behind the algorithms. Though not for the casual reader, Farin's book is a perfect reference for the programmer or architect of computer aided design software. I recommend it highly.