Perona, Pietro (1991) Deformable kernels for early vision. In: 1991 IEEE Computer Society Conference on Computer Vision Patern Recognition (CVPR). IEEE Computer Society Press , Los Alamitos, CA, pp. 222-227. ISBN 0-8186-2148-6 http://resolver.caltech.edu/CaltechAUTHORS:20120420-071031778
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Early vision algorithms often have a first stage of linear filtering that 'extracts' from the image information at multiple scales of resolution and multiple orientations. A common difficulty in the design and implementation of such schemes is that one feels compelled to discretize coarsely the space of scales and orientations in order to reduce computation and storage costs. This discretization produces anisotropies due to a loss of traslation-, rotation- scaling- invariance that makes early vision algorithms less precise and more difficult to design. This need not be so: one can compute and store efficiently the response of families of linear filters defined on a continuum of orientations and scales. A technique is presented that allows (1) to compute the best approximation of a given family using linear combinations of a small number of 'basis' functions; (2) to describe all finite-dimensional families, i.e. the families of filters for which a finite dimensional representation is possible with no error. The technique is general and can be applied to generating filters in arbitrary dimensions. Experimental results are presented that demonstrate the applicability of the technique to generating multi-orientation multi-scale 20 edge-detection kernels. The implementation issues are also discussed.
|Item Type:||Book Section|
|Additional Information:||© 1991 IEEE. Date of Current Version: 06 August 2002. I am grateful to Massimo Porrati, Alberto Grunbaum, David Donoho, Charles Desoer and Richard Murray for helpful conversations. The simulations in this work have been carried out using Paul Kube's "viz" image-manipulation package, Paul also gave allot of assistance. Part of this work was carried out at the International Computer Science Institute at Berkeley. This work was partially sponsored by U.S. Army Research Office grant number DAAL 03-86-K-0171 (Center for Intelligent Control Systems).|
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|Official Citation:||Perona, P.; , "Deformable kernels for early vision," Computer Vision and Pattern Recognition, 1991. Proceedings CVPR '91., IEEE Computer Society Conference on , vol., no., pp.222-227, 3-6 Jun 1991 doi: 10.1109/CVPR.1991.139691 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=139691&isnumber=3774|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||20 Apr 2012 16:15|
|Last Modified:||26 Dec 2012 15:05|
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