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Computer Graphics and Geometric Modelling : Mathematics - Max K. Agoston

Computer Graphics and Geometric Modelling


Hardcover Published: 1st March 2005
ISBN: 9781852338176
Number Of Pages: 959

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Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Mathematics, contains the mathematical background needed for the geometric modeling topics in computer graphics covered in the first volume. This volume begins with material from linear algebra and a discussion of the transformations in affine & projective geometry, followed by topics from advanced calculus & chapters on general topology, combinatorial topology, algebraic topology, differential topology, differential geometry, and finally algebraic geometry. Two important goals throughout were to explain the material thoroughly, and to make it self-contained. This volume by itself would make a good mathematics reference book, in particular for practitioners in the field of geometric modelling. Due to its broad coverage and emphasis on explanation it could be used as a text for introductory mathematics courses on some of the covered topics, such as topology (general, combinatorial, algebraic, and differential) and geometry (differential & algebraic).

Introductionp. 3
Raster algorithmsp. 22
Clippingp. 69
Transformations and the graphics pipelinep. 111
Approaches to geometric modelingp. 156
Basic geometric modeling toolsp. 227
Visible surface algorithmsp. 264
Colorp. 294
Illumination and shadingp. 308
Rendering techniquesp. 337
Curves in computer graphicsp. 373
Surfaces in computer graphicsp. 472
Intersection algorithmsp. 537
Global geometric modeling topicsp. 582
Local geometric modeling topicsp. 649
Intrinsic geometric modelingp. 684
Computational geometry topicsp. 697
Interval analysisp. 726
The finite element methodp. 745
Quaternionsp. 755
Digital image processing topicsp. 767
Chaos and fractalsp. 797
Notationp. 815
Abstract program syntaxp. 819
Igesp. 822
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781852338176
ISBN-10: 1852338172
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 959
Published: 1st March 2005
Publisher: Springer London Ltd
Country of Publication: GB
Dimensions (cm): 25.4 x 17.8  x 5.72
Weight (kg): 2.01