Shadows and Silhouettes in Computer Vision

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Springer Science & Business Media, Apr 30, 1985 - Computers - 198 pages
 

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Contents

Introduction
1
11 The Shadow Geometry Problem
2
12 The Gradient Space
4
13 Generalized Cylinders
5
14 Outline of the Book
7
Imaging Geometry and the Gradient Space
11
22 Gradient Space and Orthography
13
23 Gradient Space Under Perspective
20
Generalized Cylinders
83
81 A Taxonomy of Generalized Cylinders
84
82 Straight Homogeneous Generalized Cylinders
91
83 The Equivalence Problem for Shape Descriptions
95
84 Surface Normals of an SHGC
99
85 Conclusions
103
Contour Analysis for SHGCs
105
91 Contours of Tangency for SHGCs
106

24 Conclusions
28
The Basic Shadow Problem
29
32 Solution of the Basic Shadow Problem
30
33 Relationships Among the Parameters Supplied in Advance
37
34 Conclusions
39
Variations in Lighting
41
41 Light Source in Front of the Camera
42
42 Light Source Behind and Below Camera
43
43 Light Source Not Infinitely Distant
44
44 Position of the Light Source Under Perspective
46
45 Line Labels and the Light Source Position
47
46 Changing the Number of Light Sources
48
47 Conclusions
49
Shadows Falling on Polyhedra
51
52 Breaks in the Shadow Edge
53
53 Constraints in the General Case
55
54 Conclusions
56
Shadows Cast by Polyhedra
57
62 Adding a SelfShadowed Surface
59
63 Adding an Illuminated Surface
61
64 The General Solution for Polyhedral Shadow Geometry
63
65 Conclusions
65
Shadow Geometry for Curved Surfaces
67
71 Gradients of Curves and Surfaces
68
72 Shadow Falling on a Curved Surface
73
73 Shadow Cast by a Curved Surface
75
74 Conclusions
82
92 Images 0f Right SHGCs
110
93 Contour and Silhouette Analysis for Right Circular SHGCs
112
94 C0nt0ur and Silh0uette Analysis for Right Circular SHGCs
120
95 Contour and Silhouette Analysis for Other Right SHGCs
126
96 Conclusions
131
Shadow Geometry for Solids of Revolution
133
101 Analysis of the Position 0f the Terminator
134
102 Analysis of Surface Normals
137
103 Aligning the Image for Analysis 0f Surface Normals
140
104 Analyzing the Surface Normals Along the Terminator
141
105 Conclusions
145
Shadow Geometry and Other Techniques
147
112 Curved Surface Reconstruction
149
113 Analysis of Range Finder lmages of RCSHGCs
151
114 Conclusions
156
Conclusions
157
121 Related Problems and Further Work
160
Bibliography
163
Terminology and Notation
169
Basic Shadow Problem in Orthography
171
Basic Shadow Problem in Perspective
175
Catalog of Straight Homogeneous GCs
179
The Slant Theorem
187
The Pivot Theorem
191
AUTHOR INDEX
195
SUBJECT INDEX
197
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Page iv - The views and conclusions contained in this document are those of the author and should not be interpreted as representing the official policies, either expressed or implied, of the Defense Advanced Research Projects Agency, the United States Government, or CarnegieMellon University.

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