Computer Graphics and Geometric Modelling

1. Front Matter

   Pages i-xx

   PDF

2. Basic Computer Graphics

   1. Introduction

      Pages 3-21

   2. Raster Algorithms

      Pages 22-68

   3. Clipping

      Pages 69-110

   4. Transformations and the Graphics Pipeline

      Pages 111-155

   5. Approaches to Geometric Modeling

      Pages 156-226

   6. Basic Geometric Modeling Tools

      Pages 227-263

   7. Visible Surface Algorithms

      Pages 264-293

   8. Color

      Pages 294-307

   9. Illumination and Shading

      Pages 308-336

   10. Rendering Techniques

       Pages 337-369

3. Geometric Modeling Topics

   1. Curves in Computer Graphics

      Pages 373-471

   2. Surfaces in Computer Graphics

      Pages 472-536

   3. Intersection Algorithms

      Pages 537-581

   4. Global Geometric Modeling Topics

      Pages 582-648

   5. Local Geometric Modeling Topics

      Pages 649-683

   6. Intrinsic Geometric Modeling

      Pages 684-693

4. More on Special Computer Graphics Topics

   1. Computational Geometry Topics

      Pages 697-725

   2. Interval Analysis

      Pages 726-744

   3. The Finite Element Method

      Pages 745-754

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.

• Analysis
• algorithms
• clipping
• computational geometry
• computer
• computer graphics
• geometric modeling
• geometric modelling
• image processing
• modeling
• rendering
• shading

• Cupertino, USA

  Max K. Agoston

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