00/4/103dvip-011 part three: descriptions of 3-d objects and scenes
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00/4/10 3DVIP-01 1
Part Three:Descriptions of 3-D Objects and Scenes
00/4/10 3DVIP-01 2
Models with Unorganized Data Clouds
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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
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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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Chapter Six:Local Description of Shapes of 3-D Surfaces --- Curvature Computation
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Shape Changes in 3-D Objects
Chapter 7: Curvature Computation
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Local Descriptions of Objects
Chapter 7: Curvature Computation
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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
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A 2-D Drawing Based on Significant Shape Features
Chapter 7: Curvature Computation
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A Drawing Based on Significant Shape Features for a 3-D Object
Chapter 7: Curvature Computation
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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
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Curves on Surfaces
Chapter 7: Curvature Computation
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Local Frame of Coordinates
Chapter 7: Curvature Computation
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Curvature Distributions
Chapter 7: Curvature Computation
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Surface Identification
Chapter 7: Curvature Computation
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Graph Surfaces
Chapter 7: Curvature Computation
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Representation of 3D data
range images
shaded imageimage format
Chapter 7: Curvature Computation
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Difference Operators
Chapter 7: Curvature Computation
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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
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Segmentation Using Curvatures
Chapter 7: Curvature Computation
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Segmentation Using Curvatures
Chapter 7: Curvature Computation
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Lines of Curvatures
Chapter 7: Curvature Computation
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Meshes from Curvature Lines
Chapter 7: Curvature Computation
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