Spatio-Temporal Image Processing: Theory and Scientific Applications

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Springer Science & Business Media, Nov 10, 1993 - Computers - 208 pages
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Image sequence processing is becoming a tremendous tool to analyze spatio-temporal data in all areas of natural science. It is the key to studythe dynamics of of complex scientific phenomena. Methods from computer science and the field of application are merged establishing new interdisciplinary research areas. This monograph emerged from scientific applications and thus is an example for such an interdisciplinaryapproach. It is addressed both to computer scientists and to researchers from other fields who are applying methods of computer vision. The results presented are mostly from environmental physics (oceanography) but they will be illuminating and helpful for researchers applying similar methods in other areas.
  

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Contents

Introduction and Overview
1
Image Sequence Acquisition
14
21 Geometrical Optics
15
211 World and Camera Coordinates
16
212 Perspective Projection
18
213 Geometric Distortion
20
214 Depth of Focus and 3D OTF
21
215 Imaging of Volumetric Objects
26
48 General Approach
108
Fourier Transform Methods
110
51 Cross Spectral Method
111
52 Wave Number Frequency Spectra
116
Differential Methods
119
61 Least Squares Approach
120
62 Differential Geometric Modelling
124
63 Formulation as Filter Method
127

22 Radiometry
28
223 Reflection from Surfaces
29
224 Emitting Surfaces
30
23 Stereo Imaging of the Water Surface
31
231 Stereo Setup with Parallel Camera Axes
32
233 Geometry of Stereo Imaging of Ocean Surface Waves
33
234 Geometry of A ShortBase Tele Lens Stereo System
36
Principles
39
242 Surface Reconstruction
41
25 Shape from Reflection
43
Stilwell Photography
46
253 The Stereo Correspondence Problem at Specular Surfaces
48
254 Measurements of the Wave Slope Statistics
50
26 Shape from Refraction
52
261 Principle
53
263 IrradianceWave Slope Relation
56
27 Mass Boundary Layer Visualization
60
Kinematics and Dynamics of Motion
63
32 Motion Kinematics
64
322 Deformable Objects
66
323 Kinematics of Projected Motion
69
324 Motion of Planar Surfaces
71
33 Motion Dynamics
74
Motion in SpaceTime Images
76
42 Pro and Contra Regularization
78
43 Motion as Orientation in xt Space
81
44 Optical Flow
84
442 Fluid Flow versus Optical Flow
86
443 Lambertian Objects in Isotropic Illumination
87
444 Lambertian Objects in Parallel Light
88
445 Light Emitting Surfaces and Volumes
89
446 Light Absorbing or Scattering Objects
90
447 Light Refracting Objects
91
45 Motion in Fourier Domain
92
46 Sampling in xt Space
93
462 Sampling and the Correspondence Problem
96
463 Sampling and Subpixel Accuracy
97
47 Classification of Local Structure in SpaceTime Images
99
472 Classification of Local Structures
101
473 Examples of Complex Motion
103
64 Analytic results
129
Quadrature Filter Set Methods
133
722 Vectorial Filter Response Addition
135
73 SpatioTemporal Energy Models
136
74 Directional Filter Sets in 3D and 4D
138
742 Symmetric Distribution of Filter Directions in 3D and 4D
139
75 Analytic Results
140
Tensor Methods
143
812 Analogy to the Inertia Tensor
145
813 Computation in the Spatial Domain
146
82 Structure Tensor Method
147
823 Further Equivalent Approaches
148
83 Formulation as a Filter Method
149
84 Eigenvalue Analysis
150
842 3D Tensor
152
85 Analytic Results
153
852 Three Dimensions
156
Correlation Methods
158
92 Formulation as Filter Method
159
94 Evaluation and Comparison
160
Phase Methods
161
102 Computation of Phase Gradients
162
103 Formulation as a Filter Method
163
104 Analytic Results
164
Implementation
166
112 Binomial Smoothing Filters
167
1123 Cascaded Multistep Binomial Filters
170
1124 Cascaded Multigrid Binomial Filters
174
113 FirstOrder Derivative Filters
178
1132 Bspline Based Derivative Operators
180
114 Hilbert Filter
182
Experimental Results
185
121 Synthetic Test Images
186
122 Results with Synthetic Images
188
1222 Noise Sensitivity
191
123 Conclusion
192
Bibliography
193
Index
206
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