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 http://resolver.caltech.edu/CaltechAUTHORS:20120125-130418670
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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|
|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.|
|Other Numbering System:|
|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.|
|Deposited By:||Tony Diaz|
|Deposited On:||26 Jan 2012 00:22|
|Last Modified:||26 Jan 2012 00:22|
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