Perona, Pietro (1997) Orientation diffusions. In: 1997 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Proceedings. IEEE , Piscataway, NJ, pp. 710-716. ISBN 0-7803-4236-4. https://resolver.caltech.edu/CaltechAUTHORS:20120125-130418670
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Abstract
Diffusions provide a convenient way of smoothing noisy brightness images, of analyzing images at multiple scales, and of enhancing discontinuities. Some quantities of interest in computer vision are defined on curved manifolds; typical examples are orientation and hue that are defined on the circle. Generalizing diffusions to orientation is not straightforward, especially in the case where a discrete implementation is sought. An example of what may go wrong is presented. A method is proposed to define diffusions of orientation-like quantities. First a definition in the continuum is discussed, then a discrete orientation diffusion is proposed. The behavior of such diffusions is explored both analytically and experimentally. It is shown how such orientation diffusions contain a nonlinearity that is reminiscent of edge-process and anisotropic diffusion. A number of open questions are proposed at the end.
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| Additional Information: | © 1997 IEEE. Date of Current Version: 06 August 2002. This work was in part funded by NSF Grant IRI 9306155 on “Geometry driven diffusions” and by an NSF National Young Investigator Award. | |||||||||
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| DOI: | 10.1109/CVPR.1997.609404 | |||||||||
| Record Number: | CaltechAUTHORS:20120125-130418670 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120125-130418670 | |||||||||
| Official Citation: | Perona, P.; , "Orientation diffusions," Computer Vision and Pattern Recognition, 1997. Proceedings., 1997 IEEE Computer Society Conference on , vol., no., pp.710-716, 17-19 Jun 1997 doi: 10.1109/CVPR.1997.609404 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=609404&isnumber=13322 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 28965 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 26 Jan 2012 00:22 | |||||||||
| Last Modified: | 09 Nov 2021 17:02 |
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