Basics of Computer Aided Geometric Design: An Algorithmic Approach, 2/e
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Basics of Computer Aided Geometric Design: An Algorithmic Approach, 2/e

Author : M. Ganesh
© Year : 2011
ISBN : 9789380578491
Pages : 236
Binding : Paperback
Weight : 0.30   kg
Discount : 20.00  %
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  • About the Book
  • Salient Features
  • Table of Contents
  • About the Author

The aim of this book is to provide a good foundation of Computer Aided Geometric Design to students who are doing undergraduate courses in engineering, especially Mechanical Engineering, Computer Science, Geometric Modeling, and CAD/CAM.
This Second Edition is organized in three parts:
Part - I deals with the basics of Differential Geometry of curves and surfaces, a good understanding of which is essential prerequisite to what follows in Part - II.
Part - II is devoted entirely to the geometric designs of curves and surfaces, which are used in the development of Computer Graphics and profiles of hulls of ships, aircraft wings, satellites, (to name a few large-scale products) as also telephones, mobile phones, fancy flower vases (to name a few small-scale products).
Part - III deals with certain useful generalizations of the earlier concepts, like rational Bezier and B-Spline curves and surfaces and advanced techniques like blending and corner-cutting.
Concepts introduced are illustrated with examples, which are completely worked out. A list of problems is also given at the end of each chapter.

Salient Features:

  • This new edition has a new Part-III on advanced topics containing two new chapters – Rational B-spline curves and surfaces, and certain assorted methods.
  • All the theorems and relationships have been derived and explained in an easy-to-understand manner.
  • Chapters includes a summary, references, exercise problems, and appendices for further elaboration on the important functions, variables, derivations, etc.
  • Includes a lot of worked examples for easy understanding of the text.

    PART – I: DIFFERENTIAL GEOMETRY
  • Theory of Curves
  • Theory of Surfaces
    PART – II: COMPUTER AIDED GEOMETRIC DESIGN
  • Bezier Curves
  • Bezier Surfaces
  • Spline Curves
  • Spline Surfaces
    PART – III: ADVANCED TOPICS IN COMPUTER AIDED GEOMETRIC DESIGN
  • Rational B-Spline Curves and Surfaces
  • Certain Assorted Methods
    Appendix
    Index

M. Ganesh :- M. Ganesh, Ph. D., is a retired Professor of Mathematics from Birla Institute of Technology and Science (BITS) Pilani, Rajasthan (India). He took his Ph. D. degree from University of Madras in Differential Geometry. He has to his credit several research papers in various research journals. He is the author of two more books, Introduction to Fuzzy Sets and Fuzzy Logic and Topology: A Geometric Approach. His research interests include applications of Fuzzy Logic in decision making, computer science, and control theory; computer aided geometric designs; cryptography; and formal methods in program verification.

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