1. 00/4/103DVIP-011 Part Three: Descriptions of 3-D Objects and Scenes

2. 00/4/103DVIP-012 Models with Unorganized Data Clouds

3. 00/4/103DVIP-013 Problems in 3-D Data Clouds  No obvious recording of relationships between data points  Redundancy in data  Not easy to be used in graphics hardware  Difficult to express in symbols for high-level reasoning

4. 00/4/103DVIP-014 Descriptions of Models  Local descriptions based on surface geometrical features  Parametrical functions obtained from data fitting  Meshes of 3-D data clouds

5. 00/4/103DVIP-015 Chapter Six: Local Description of Shapes of 3-D Surfaces --- Curvature Computation

6. 00/4/103DVIP-016 Shape Changes in 3-D Objects Chapter 7: Curvature Computation

7. 00/4/103DVIP-017 Local Descriptions of Objects Chapter 7: Curvature Computation

8. 00/4/103DVIP-018 Properties of Surface Curvatures  Intrinsic features independent of object poses in 3-D space  Important in human perception of shapes  Easy implementation for the computation from range data  Sensitive to noises in data Chapter 7: Curvature Computation

9. 00/4/103DVIP-019 A 2-D Drawing Based on Significant Shape Features Chapter 7: Curvature Computation

10. 00/4/103DVIP-0110 A Drawing Based on Significant Shape Features for a 3-D Object Chapter 7: Curvature Computation

11. 00/4/103DVIP-0111 Main Topics  Local geometrical descriptors: the first and second fundamental forms  Surface curvatures: principal curvatures, Gauss curvatures and mean curvatures  Computation of curvatures for graph surfaces  Computation of curvatures for 3-D range images Chapter 7: Curvature Computation

12. 00/4/103DVIP-0112 Curves on Surfaces Chapter 7: Curvature Computation

13. 00/4/103DVIP-0113 Local Frame of Coordinates Chapter 7: Curvature Computation

14. 00/4/103DVIP-0114 Curvature Distributions Chapter 7: Curvature Computation

15. 00/4/103DVIP-0115 Surface Identification Chapter 7: Curvature Computation

16. 00/4/103DVIP-0116 Graph Surfaces Chapter 7: Curvature Computation

17. 00/4/103DVIP-0117 Representation of 3D data range images shaded imageimage format Chapter 7: Curvature Computation

18. 00/4/103DVIP-0118 Difference Operators Chapter 7: Curvature Computation

19. 00/4/103DVIP-0119 Applications of Surface Curvatures  Patch matching using curvature histograms  Scene segmentation based on signs and values of curvatures  Mesh generation from curvature lines  Evaluation of surface smoothness and 3-D edge extraction Chapter 7: Curvature Computation

20. 00/4/103DVIP-0120 Segmentation Using Curvatures Chapter 7: Curvature Computation

21. 00/4/103DVIP-0121 Segmentation Using Curvatures Chapter 7: Curvature Computation

22. 00/4/103DVIP-0122 Lines of Curvatures Chapter 7: Curvature Computation

23. 00/4/103DVIP-0123 Meshes from Curvature Lines Chapter 7: Curvature Computation