The IMA Volumes in Mathematics and its Applications

Mathematical Methods in Computer Vision

Editors: Olver, Peter J., Tannenbaum, Allen (Eds.)

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  • ISBN 978-0-387-00497-6
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About this book

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.

Buy this book

Hardcover $169.00
price for USA
  • ISBN 978-0-387-00497-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-1-4419-1826-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Methods in Computer Vision
Editors
  • Peter J. Olver
  • Allen Tannenbaum
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
133
Copyright
2003
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
Hardcover ISBN
978-0-387-00497-6
Softcover ISBN
978-1-4419-1826-0
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XII, 156
Topics