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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.
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.