Geometric Data Structures for Computer Graphics2006
Geometric Data Structures for Computer Graphics2006
ISBN: N/A
EAN: N/A
EAN: N/A
Year: 2005
Pages: 69
Pages: 69
- Geometric Data Structures for Computer Graphics
- Back Cover
- About
- Preface
- Acknowledgments
- Chapter 1: Quadtrees and Octrees
- 1.2. Complexity and Construction
- 1.3. Height Field Visualization
- 1.4. Isosurface Generation
- 1.5. Ray Shooting
- 1.6. 3D Octree
- 1.7. 5D Octree
- Chapter 2: Orthogonal Windowing and Stabbing Queries
- 2.1. Interval Trees
- 2.2. Segment Trees
- 2.3. Multi-Level Segment Trees
- 2.4. Kd-Trees
- 2.5. Range Trees
- 2.6. The (Axis-Parallel BoxAxis-Parallel Box) Windowing Problem
- 2.7. Texture Synthesis
- 2.8. Shape Matching
- Chapter 3: BSP Trees
- 3.1. Rendering without a Z-Buffer
- 3.2. Representing Objects with BSPs
- 3.3. Boolean Operations
- 3.4. Construction Heuristics
- Chapter 4: Bounding Volume Hierarchies
- 4.1. Construction of BVHs
- 4.2. Updating for Morphing Objects
- 4.3. Collision Detection
- Chapter 5: Distance Fields
- 5.1. Computation and Representation of DFs
- 5.2. Applications of DFs
- Chapter 6: Voronoi Diagrams
- 6.1. Definitions and Properties
- 6.2. Computation
- 6.3. Generalization of the Voronoi Diagram
- 6.4. Applications of the Voronoi Diagram
- 6.5. Voronoi Diagrams in Computer Graphics
- Chapter 7: Geometric Proximity Graphs
- 7.1. A Small Collection of Proximity Graphs
- 7.2. Classification
- 7.3. Surfaces Defined by Point Clouds
- 7.4. Intersection Detection between Point Clouds
- Chapter 8: Kinetic Data Structures
- 8.1. General Terminology
- 8.2. Static Segment Tree
- 8.3. Kinetic Segment Tree
- 8.4. Kinetic BSP in the Plane
- Chapter 9: Degeneracy and Robustness
- 9.1. Examples of Instability in Geometric Algorithms
- 9.2. Formal Definition of Robustness and Stability
- 9.3. Geometric Computing and Arithmetic
- 9.4. Robust Expressions and Predicates
- 9.5. Degeneracy
- 9.6. Imprecise Arithmetic Approach
- 9.7. Practical Recommendations and Existing Packages
- Chapter 10: Dynamization of Geometric Data Structures
- 10.1. Example of Dynamization
- 10.2. Model of the Dynamization
- 10.3. Amortized Insert and Delete
- 10.4. Dynamization for Worst-Case Performance
- 10.5. Application to Search Query Data Structures
- Bibliography
- Color Images
- List of Figures
- List of Tables
- List of Algorithms
Geometric Data Structures for Computer Graphics2006
ISBN: N/A
EAN: N/A
EAN: N/A
Year: 2005
Pages: 69
Pages: 69
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