| 7 Geometric Models and Their Exploitation in NPR |
| 7.1 Geometric Models as Data Types |
| 7.1.1 Data |
| 7.1.2 Operations on the Data |
| 7.1.3 Implementation |
| 7.2 Polygonal Models |
| 7.2.1 Description of Polygonal Models |
| 7.2.2 Operations for Polygonal Models |
| 7.2.3 Edge Classification for NPR |
| 7.2.4 Computing Intersections |
| 7.2.5 Determining Global Shape |
| 7.3 Free Form Surfaces |
| 7.3.1 Description of Free Form Surface Models |
| 7.3.2 Operations on Free Form Surface Models for Rendering |
| Exercises |
| Bibliographic Notes |
| 8 Lighting Models for NPR |
| 8.1 Conveying Shape Versus Illumination |
| 8.2 A Basic Lighting Model |
| 8.3 Colored Illustrations |
| 8.4 A Component-Based Lighting Model |
| 8.4.1 Standard Lighting and Shadows |
| 8.4.2 Rim Shadow, Plateau and Back Lighting |
| 8.4.3 Curvature Lighting |
| 8.4.4 Transmission and Transparency |
| 8.4.5 Overall Intensity |
| 8.5 Implementation Issues |
| Exercises |
| Bibliographic Notes |
| 9 Distorting Non-Realistic Renditions |
| 9.1 Image Space Distortion |
| 9.1.1 Fundamental Algorithm |
| 9.1.2 Regions of Magnification |
| 9.1.3 The Drop-Off Function |
| 9.1.4 Off-Center Focus Points and Multiple Foci |
| 9.2 Object Space Distortion |
| 9.2.1 Interval Strucutures |
| 9.2.2 The Resize Operation |
| 9.2.3 An Example |
| 9.2.4 Discussion of the Algorithm |
| 9.2.5 An Application to Explosion Diagrams |
| 9.3 Making Distortions Comprehensible |
| 9.3.1 Recognition Axis |
| 9.3.2 Dominance Axis |
| 9.3.3 A Space of Viewing Cues |
| 9.4 Distortions in an Animated Context |
| 9.4.1 Distorted Transformations |
| 9.4.2 Morphing the Model |
| Exercises |
| Bibliographic Notes |
| 10 Applications for NPR |
| 10.1 Non-Photorealistic Animation |
| 10.1.1 Representing Motion in Still Images |
| 10.1.2 Non-Photorealistic Animation Based on Particle Systems |
| 10.2 Architectural Illustrations |
| 10.2.1 An Empirical Study |
| 10.2.2 Expressing Uncertainty in Designs |
| 10.3 Rendering Plants |
| 10.3.1 Rendering the Trunk, Branches and Twigs |
| 10.3.2 Rendering the Foliage |
| 10.4 Illustrating Medical and Technical Texts |
| 10.4.1 Generating Illustrations from Texts |
| 10.4.2 Generating Labels |
| 10.4.3 Generating Figure Captions |
| 10.5 Tactile Rendering for Blind People |
| 10.5.1 Hardware |
| 10.5.2 Haptic Perception |
| 10.5.3 Converting Visualizations Into Tactile Presentations |
| 10.5.4 Tactile Maps |
| Exercises |
| Bibliographic Notes |
| 11 A Conceptual Framework for NPR |
| 11.1 Methodological Disclaimer |
| 11.2 Mathematical Preliminaries: Equivalence Relations, Equivalence Classes and Quotients |
| 11.2.1 Sets and Elements |
| 11.2.2 Cartesian Products and Relations |
| 11.2.3 Equivalence Relations and Variants |
| 11.2.4 Equivalence classes and invariants |
| 11.2.5 Quotients, (Iso)morphism, and Abstraction |
| 11.2.6 Summary of Mathematical Preliminaries |
| 11.3 Physical preliminaries: Communication via Light Rays |
| 11.3.1 Physical context |
| 11.3.2 Detecting Light -- Basic Principles of Viewing |
| 11.3.3 Summary of Viewing-Related (p-)Equivalence Relations |
| 11.4 Neurobiological Context: Look Ahead Sets and Look Around Sets |
| 11.4.1 Perceptual Context |
| 11.5 A Model for Visual Communication |
| 11.5.1 Layers and semantic transformations in visual communication |
| 11.6 Summary and Practical Connection With NPR |
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