Computer Graphics and Geometric Modelling: Implementation & Algorithms

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Springer Science & Business Media, Dec 6, 2005 - Computers - 908 pages
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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: Implementation and Algorithms, covers the computer graphics part of the field of geometric modelling and includes all the standard computer graphics topics. The first part deals with basic concepts and algorithms and the main steps involved in displaying photorealistic images on a computer. The second part covers curves and surfaces and a number of more advanced geometric modelling topics including intersection algorithms, distance algorithms, polygonizing curves and surfaces, trimmed surfaces, implicit curves and surfaces, offset curves and surfaces, curvature, geodesics, blending etc. The third part touches on some aspects of computational geometry and a few special topics such as interval analysis and finite element methods. The volume includes two companion programs.
 

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Contents

significant in a relatively small number of places It would be relevant for example
3
Chapters 14 a quick overview of Chapters
5
Chapters 210 just enough of Chapter 12
21
10
59
Clipping
69
Transformations and the Graphics Pipeline
111
Approaches to Geometric Modeling
156
Basic Geometric Modeling Tools
227
More on Special Computer Graphics Topics 695
694
code would look like so that any translation would
698
Interval Analysis
726
The Finite Element Method
745
Quaternions
755
Digital Image Processing Topics
767
22
797
Notation
815

Visible Surface Algorithms
264
Color
294
Illumination and Shading
308
Rendering Techniques
337
Geometric Modeling Topics 371
370
Surfaces in Computer Graphics
472
Intersection Algorithms
537
Chapters 36 11 12 a sampling of topics
540
Global Geometric Modeling Topics
582
Review of parts
649
Intrinsic Geometric Modeling
684
IGES
822
Bibliography
835
26
837
40
844
48
850
49
858
54
865
Index
867
Bibliographic Index
896
Copyright

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