Curves and surfaces in geometric modeling
Subtitle: theory and algorithms
By: Jean Gallier.
Series: The Morgan Kaufmann series in computer graphics and geometric modeling
Publisher: Morgan Kaufmann Publishers
Published: 2000
Place of publication: San Francisco, Calif
Language: eng
Number of pages: 491
Subjects: Curves, Algebraic -- Data processing.; Surfaces -- Data processing.; Computer-aided design.
Description: "Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitioner.".

"The focus here 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 more than just its theoretical elegance - the author demonstrates 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 other related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more." "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."--BOOK JACKET.
Notes: Includes bibliographical references (p. 467-471) and index.