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Orientation diffusions

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.

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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.

Item Type:Book Section
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Perona, Pietro0000-0002-7583-5809
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.
Funding AgencyGrant Number
NSFIRI 9306155
NSF National Young Investigator AwardUNSPECIFIED
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INSPEC Accession Number5644236
Record Number:CaltechAUTHORS:20120125-130418670
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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:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28965
Deposited By: Tony Diaz
Deposited On:26 Jan 2012 00:22
Last Modified:09 Nov 2021 17:02

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