1. Descriptions of 3-D Objects and Scenes
Part Three:
Descriptions of 3-D Objects and Scenes
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2. Models with Unorganized Data Clouds
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3. Problems in 3-D Data Clouds
No obvious recording of relationships between data points
Redundancy in data
Not easy to be used in graphics hardwares
Difficult to express in symbols for high-level reasoning
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4. Descriptions of Models
Local descriptions based on surface geometrical features
Parametrical functions obtained from data fitting
Meshes of 3-D data clouds
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5. Local Description of Shapes of 3-D Surfaces --- Curvature Computation
Chapter Seven:
Local Description of Shapes of 3-D Surfaces
--- Curvature Computation
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6. Shape Changes in 3-D Objects
Chapter 7: Curvature Computation
Shape Changes in 3-D Objects
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7. Local Descriptions of Objects
Chapter 7: Curvature Computation
Local Descriptions of Objects
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8. Properties of Surface Curvatures
Chapter 7: Curvature Computation
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
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9. A 2-D Drawing Based on Significant Shape Features
Chapter 7: Curvature Computation
A 2-D Drawing Based on Significant
Shape Features
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10. A Drawing Based on Significant Shape Features for a 3-D Object
Chapter 7: Curvature Computation
A Drawing Based on Significant
Shape Features for a 3-D Object
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11. Local geometrical descriptors: the first and second fundamental forms
Chapter 7: Curvature Computation
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
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12. Chapter 7: Curvature Computation
Curves on Surfaces
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13. Local Frame of Coordinates
Chapter 7: Curvature Computation
Local Frame of Coordinates
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14. Curvature Distributions
Chapter 7: Curvature Computation
Curvature Distributions
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15. Surface Identification
Chapter 7: Curvature Computation
Surface Identification
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16. Chapter 7: Curvature Computation
Graph Surfaces
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17. Representation of 3D data
Chapter 7: Curvature Computation
Representation of 3D data
range images
image format
shaded image
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18. Chapter 7: Curvature Computation
Difference Operators
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19. Applications of Surface Curvatures
Chapter 7: Curvature Computation
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
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20. Segmentation Using Curvatures
Chapter 7: Curvature Computation
Segmentation Using Curvatures
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21. Segmentation Using Curvatures
Chapter 7: Curvature Computation
Segmentation Using Curvatures
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22. Chapter 7: Curvature Computation
Lines of Curvatures
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23. Meshes from Curvature Lines
Chapter 7: Curvature Computation
Meshes from Curvature Lines
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