" Curves and Surfaces for Geometric Design" offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation that you can bring to bear on your own work-whether you're a graduate student, scientist, or practitioner. Inside, the focus is on "blossoming"-the process of converting a polynomial to its polar form-as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for far more than its theoretical elegance, ...
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" Curves and Surfaces for Geometric Design" offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation that you can bring to bear on your own work-whether you're a graduate student, scientist, or practitioner. Inside, the focus is on "blossoming"-the process of converting a polynomial to its polar form-as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for far more than its theoretical elegance, for the author proceeds to demonstrate the value of blossoming as a practical algorithmic tool for generating and manipulating curves and surfaces that meet many different criteria. You'll learn to use this and related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more. The product of groundbreaking research by a noteworthy computer scientist and mathematician, this book is destined to emerge as a classic work on this complex subject. It will be an essential acquisition for readers in many different areas, including computer graphics and animation, robotics, virtual reality, geometric modeling and design, medical imaging, computer vision, and motion planning. * Achieves a depth of coverage not found in any other book in this field. * Offers a mathematically rigorous, unifying approach to the algorithmic generation and manipulation of curves and surfaces. * Covers basic concepts of affine geometry, the ideal framework for dealing with curves and surfaces in terms of control points. * Details (in Mathematica) many completeimplementations, explaining how they produce highly continuous curves and surfaces. * Presents the primary techniques for creating and analyzing the convergence of subdivision surfaces (Doo-Sabin, Catmull-Clark, Loop). * Contains appendices on linear algebra, basic topology, and differential calculus.
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Add this copy of Curves and Surfaces in Geometric Modeling: Theory & to cart. $58.22, good condition, Sold by Phatpocket Limited rated 5.0 out of 5 stars, ships from Waltham Abbey, ESSEX, UNITED KINGDOM, published 1999 by Morgan Kaufmann Publishers.
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Good. Ships from UK in 48 hours or less (usually same day). Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire, United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks, rare and collectible books at a great price. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry.
Add this copy of Curves and Surfaces in Geometric Modeling: Theory & to cart. $88.42, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1999 by Morgan Kaufmann.
Add this copy of Curves and Surfaces in Geometric Modeling: Theory & to cart. $128.41, new condition, Sold by Just one more Chapter rated 4.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 1999 by Morgan Kaufmann.
Add this copy of Curves and Surfaces in Geometric Modeling: Theory and to cart. $132.00, very good condition, Sold by Rob the Book Man rated 4.0 out of 5 stars, ships from Vancouver, WA, UNITED STATES, published 1999 by Saint Louis, Missouri, U.S.A. : Morgan Kaufmann Pub.