1. Meshing of 3-D Data Clouds for Object Description
Chapter Eight:
Meshing of 3-D Data Clouds for Object Description
--- Triangulation of Data Sets
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2. Chapter 9: Triangulation
Mesh Objects
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3. Why Need Triangular Meshes?
Chapter 9: Triangulation
Why Need Triangular Meshes?
A simple piecewise linear approximation of 3-D shapes of complex objects
Appropriate for processing in graphics hardware
Suitable for deformation and manipulation of the object surfaces
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4. Chapter 9: Triangulation
Main Topics
Planar triangulation Voronoi Diagram Delaunay Triangulation
3-D triangulation based on a physical model balloon inflation
Marching Cubes
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5. Chapter 9: Triangulation
Triangulation of Terrain Data
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6. Chapter 9: Triangulation
Planar Triangulation
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7. Chapter 9: Triangulation
Voronoi Diagrams
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8. Chapter 9: Triangulation
Dual Graph of a Voronoi Diagram
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9. Chapter 9: Triangulation
Edge Flipping
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10. Chapter 9: Triangulation
Incremental Triangulation Algorithm
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11. Progressive Balloon Inflation
Chapter 9: Triangulation
Progressive Balloon Inflation
Balloon inflation for surface fitting
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12. Chapter 9: Triangulation
Physical Model for Balloon Inflation
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13. Chapter 9: Triangulation
Subdivision of Triangular Faces
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14. Chapter 9: Triangulation
Touching of Balloon at Data
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15. Chapter 9: Triangulation
Approximating Errors
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16. Chapter 9: Triangulation
Adaptation of Local Fitting
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17. Chapter 9: Triangulation
Subdivision for Fitting
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18. Hierarchy of Triangular Meshes
Chapter 9: Triangulation
Hierarchy of Triangular Meshes
Meshes with triangles of different sizes
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19. Contouring Using Marching Squares
Chapter 9: Triangulation
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20. Marching Squares Cases
Chapter 9: Triangulation
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21. Ambiguity in Connecting Edges
Chapter 9: Triangulation
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22. Marching Cubes
Chapter 9: Triangulation
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23. Marching Cubes Cases
Chapter 9: Triangulation
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24. Marching Cubes Cases
Chapter 9: Triangulation
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25. Ambiguity in Connecting Edges
Chapter 9: Triangulation
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26. An Example of Extracted Isosurfaces
Chapter 9: Triangulation
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27. Marching Cubes for 3-D Data Clouds
Chapter 9: Triangulation
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28. An Example of Extracted Meshes
Chapter 9: Triangulation
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