Implicit curves and surfaces: Mathematics, data structures and algorithms. Abel J. P. Gomes, Brian Wyvill, Callum Galbraith, Irina Voiculescu, Joaquim Jorge

Implicit curves and surfaces: Mathematics, data structures and algorithms



Download Implicit curves and surfaces: Mathematics, data structures and algorithms



Implicit curves and surfaces: Mathematics, data structures and algorithms Abel J. P. Gomes, Brian Wyvill, Callum Galbraith, Irina Voiculescu, Joaquim Jorge ebook pdf
Publisher: Springer
Language: English
Page: 338
ISBN: 184882405X, 9781848824058

Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties provide a good alternative to traditional parametric objects. This book presents the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, and shows how implicit objects can easily describe smooth, intricate, and articulatable shapes, and hence why they are being increasingly used in graphical applications.

Divided into two parts, the first introduces the mathematics of implicit curves and surfaces, as well as the data structures suited to store their sampled or discrete approximations, and the second deals with different computational methods for sampling implicit curves and surfaces, with particular reference to how these are applied to functions in 2D and 3D spaces.



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