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Published May 1992 | public
Book Section - Chapter Open

Steerable-scalable kernels for edge detection and junction analysis

Perona, Pietro


Families of kernels that are useful in a variety of early vision algorithms may be obtained by rotating and scaling in a continuum a `template' kernel. These multiscale multi-orientation families may be approximated by linear interpolation of a discrete finite set of appropriate `basis' kernels. A scheme for generating such a basis, together with the appropriate interpolation weights, is described. Unlike previous schemes by Perona and Simoncelli et al., it is guaranteed to generate the most parsimonious basic kernel. Additionally, it is shown how to exploit two symmetries in edge-detection kernels for reducing storage and computational costs, and for generating simultaneously endstop- and junction-tuned filters for free.

Additional Information

© Springer-Verlag Berlin Heidelberg 1992. This work was partially conducted while at MIT-LIDS with the Center for Intelligent Control systems sponsored by ARO grant DAAL 03-86-K-0171. I have had useful conversations concerning this work with Ted Adelson, Stefano Casadei, Charles Desoer, David Donoho, Peter Falb, Bill Freeman, Federico Girosi, Takis Konstantopoulos, Paul Kube, Olaf Kübler, Jitendra Malik, Stephane Mallat, Sanjoy Mitter, Richard Murray, Massimo Porrati. Federico Girosi and Peter Falb helped with references to the functional analysis textbooks. The simulations have been carried out using Paul Kube's "viz" image-manipulation package. The images have been printed with software provided by Eero Simoncelli. Some of the simulations have been run on a workstation generously made available by prof. Canali of the Università di Padova. Part of this work was conducted while at the M.I.T. I am very grateful to Sanjoy Mitter and the staff of LIDS for their warm year-long hospitality.

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August 20, 2023
August 20, 2023