Manduchi, Roberto and Perona, Pietro and Shy, Doug (1998) Efficient deformable filter banks. IEEE Transactions on Signal Processing, 46 (4). pp. 1168-1173. ISSN 1053-587X. http://resolver.caltech.edu/CaltechAUTHORS:MANieeetsp98
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This article describes efficient schemes for the computation of a large number of differently scaled/oriented filtered versions of an image. We generalize the well-known steerable/scalable (“deformable”) filter bank structure by imposing X-Y separability on the basis filters. The resulting systems, designed by an iterative projections technique, achieve substantial reduction of the computational cost. To reduce the memory requirement, we adopt a multirate implementation. Due to the inner sampling rate alteration, the resulting structure is not shift invariant. We introduce a design criterion for multirate deformable structures that jointly controls the approximation error and the shift variance.
|Additional Information:||© Copyright 1993 IEEE. Reprinted with permission. Manuscript received February 15, 1997; revised November 30, 1997. This work was supported by NSF Grant IRI 9306155 on Geometry Driven Diffusions, NSF Research Initiation Grant IRI 9211651, ONR Grant N00014-93-1-0990, an NSF National Young Investigator Award to P. Perona, the Center for Neuromorphic Systems Engineering as a part of the National Science Foundation Engineering Research Center Program, and the California Trade and Commerce Agency, Office of Strategic Technology. The associate editor coordinating the review of this paper and approving it for publication was Dr. Henrique Malvar. The Matlab software to design the filter banks described in this paper may be found at http://www.vision.caltech.edu/manduchi/def.tar.Z.|
|Subject Keywords:||Filter banks, multirate filtering, pattern analysis, steerable filters|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||12 Mar 2006|
|Last Modified:||26 Dec 2012 08:47|
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