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Mathematical Methods in Computer Vision (Paperback, Softcover reprint of hardcover 1st ed. 2003)
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Mathematical Methods in Computer Vision (Paperback, Softcover reprint of hardcover 1st ed. 2003)
Series: The IMA Volumes in Mathematics and its Applications, 133
Expected to ship within 10 - 15 working days
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This volume comprises some of the key work presented at two IMA
Workshops on Computer Vision during fall of 2000. Recent years have
seen significant advances in the application of sophisticated
mathematical theories to the problems arising in image processing.
Basic issues include image smoothing and denoising, image
enhancement, morphology, image compression, and segmentation
(determining boundaries of objects-including problems of camera
distortion and partial occlusion). Several mathematical approaches
have emerged, including methods based on nonlinear partial
differential equations, stochastic and statistical methods, and
signal processing techniques, including wavelets and other
transform theories. Shape theory is of fundamental importance since
it is the bottleneck between high and low level vision, and formed
the bridge between the two workshops on vision. The recent
geometric partial differential equation methods have been essential
in throwing new light on this very difficult problem area. Further,
stochastic processes, including Markov random fields, have been
used in a Bayesian framework to incorporate prior constraints on
smoothness and the regularities of discontinuities into algorithms
for image restoration and reconstruction. A number of applications
are considered including optical character and handwriting
recognizers, printed-circuit board inspection systems and quality
control devices, motion detection, robotic control by visual
feedback, reconstruction of objects from stereoscopic view and/or
motion, autonomous road vehicles, and many others.
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