Ebook: Computer Graphics and Geometric Modeling: Implementation and Algorithms

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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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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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.
Content:
Front Matter....Pages i-xx
Introduction....Pages 3-21
Raster Algorithms....Pages 22-68
Clipping....Pages 69-110
Transformations and the Graphics Pipeline....Pages 111-155
Approaches to Geometric Modeling....Pages 156-226
Basic Geometric Modeling Tools....Pages 227-263
Visible Surface Algorithms....Pages 264-293
Color....Pages 294-307
Illumination and Shading....Pages 308-336
Rendering Techniques....Pages 337-369
Curves in Computer Graphics....Pages 373-471
Surfaces in Computer Graphics....Pages 472-536
Intersection Algorithms....Pages 537-581
Global Geometric Modeling Topics....Pages 582-648
Local Geometric Modeling Topics....Pages 649-683
Intrinsic Geometric Modeling....Pages 684-693
Computational Geometry Topics....Pages 697-725
Interval Analysis....Pages 726-744
The Finite Element Method....Pages 745-754
Quaternions....Pages 755-766
Digital Image Processing Topics....Pages 767-796
Chaos and Fractals....Pages 797-814
Back Matter....Pages 815-907

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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.
Content:
Front Matter....Pages i-xx
Introduction....Pages 3-21
Raster Algorithms....Pages 22-68
Clipping....Pages 69-110
Transformations and the Graphics Pipeline....Pages 111-155
Approaches to Geometric Modeling....Pages 156-226
Basic Geometric Modeling Tools....Pages 227-263
Visible Surface Algorithms....Pages 264-293
Color....Pages 294-307
Illumination and Shading....Pages 308-336
Rendering Techniques....Pages 337-369
Curves in Computer Graphics....Pages 373-471
Surfaces in Computer Graphics....Pages 472-536
Intersection Algorithms....Pages 537-581
Global Geometric Modeling Topics....Pages 582-648
Local Geometric Modeling Topics....Pages 649-683
Intrinsic Geometric Modeling....Pages 684-693
Computational Geometry Topics....Pages 697-725
Interval Analysis....Pages 726-744
The Finite Element Method....Pages 745-754
Quaternions....Pages 755-766
Digital Image Processing Topics....Pages 767-796
Chaos and Fractals....Pages 797-814
Back Matter....Pages 815-907
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