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Curves and Surfaces in Geometric Modeling: Theory & Algorithms
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  • Title Curves and Surfaces in Geometric Modeling: Theory & Algorithms
  • Author(s) Jean Gallier
  • Publisher: Morgan Kaufmann, 1st edition (1999); eBook (Draft of 2nd Edition, November 21, 2018)
  • Permission: Link to the Draft of 2nd Edition at Author's Homepage
  • Hardcover 491 pages
  • eBook PDF (502 pages, 2.6 MB)
  • Language: English
  • ISBN-10: 1558605991
  • ISBN-13: 978-1558605992
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Book Description

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.

This book 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 are a graduate student, scientist, or practitioner.

It is also an exellent introduction to advanced geometry concepts used in computer graphics, vision, robotics, geometric modeling and many other related areas.

About the Authors
  • Jean Gallier is a Professor at Computer and Information Science Department, University of Pennsylvania.
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