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Front-End Vision and Multi-Scale Image Analysis: Multi-Scale Computer Vision Theory and Applications, written in Mathematics

✍ Scribed by Prof. Dr. Bart M. ter Haar Romeny (auth.)


Publisher
Springer Netherlands
Year
2003
Tongue
English
Leaves
470
Series
Computational Imaging and Vision 27
Edition
1
Category
Library

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✦ Synopsis


Many approaches have been proposed to solve the problem of finding the optic flow field of an image sequence. Three major classes of optic flow computation techniques can discriminated (see for a good overview Beauchemin and Barron IBeauchemin19951): gradient based (or differential) methods; phase based (or frequency domain) methods; correlation based (or area) methods; feature point (or sparse data) tracking methods; In this chapter we compute the optic flow as a dense optic flow field with a multi scale differential method. The method, originally proposed by Florack and Nielsen [Florack1998a] is known as the Multiscale Optic Flow Constrain Equation (MOFCE). This is a scale space version of the well known computer vision implementation of the optic flow constraint equation, as originally proposed by Horn and Schunck [Horn1981]. This scale space variation, as usual, consists of the introduction of the aperture of the observation in the process. The application to stereo has been described by Maas et al. [Maas 1995a, Maas 1996a]. Of course, difficulties arise when structure emerges or disappears, such as with occlusion, cloud formation etc. Then knowledge is needed about the processes and objects involved. In this chapter we focus on the scale space approach to the local measurement of optic flow, as we may expect the visual front end to do. 17. 2 Motion detection with pairs of receptive fields As a biologically motivated start, we begin with discussing some neurophysiological findings in the visual system with respect to motion detection.

✦ Table of Contents


Front Matter....Pages i-xviii
Apertures and the notion of scale....Pages 1-12
Foundations of scale-space....Pages 13-36
The Gaussian kernel....Pages 37-51
Gaussian derivatives....Pages 53-69
Multi-scale derivatives: implementations....Pages 71-89
Differential structure of images....Pages 91-136
Natural limits on observations....Pages 137-141
Differentiation and regularization....Pages 143-152
The front-end visual system β€” the retina....Pages 153-165
A scale-space model for the retinal sampling....Pages 167-177
The front-end visual system β€” LGN and cortex....Pages 179-195
The front-end visual system β€” cortical columns....Pages 197-213
Deep structure I. watershed segmentation....Pages 215-240
Deep structure II. catastrophe theory....Pages 241-256
Deep structure III. topological numbers....Pages 257-276
Deblurring Gaussian blur....Pages 277-284
Multi-scale optic flow....Pages 285-310
Color differential structure....Pages 311-327
Steerable kernels....Pages 329-343
Scale-time....Pages 345-360
Geometry-driven diffusion....Pages 361-391
Epilog....Pages 393-394
Back Matter....Pages 395-466

✦ Subjects


Computer Imaging, Vision, Pattern Recognition and Graphics;Image Processing and Computer Vision;Biophysics/Biomedical Physics;Mathematical Biology in General;Artificial Intelligence (incl. Robotics)


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