The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Recursive regularization filters: design, properties, and applications
Abstract
Least squares approximation problems that are regularized with specified highpass stabilizing kernels are discussed. For each problem, there is a family of discrete regularization filters (R-filters) which allow an efficient determination of the solutions. These operators are stable symmetric lowpass filters with an adjustable scale factor. Two decomposition theorems for the z-transform of such systems are presented. One facilitates the determination of their impulse response, while the other allows an efficient implementation through successive causal and anticausal recursive filtering. A case of special interest is the design of R-filters for the first- and second-order difference operators. These results are extended for two-dimensional signals and, for illustration purposes, are applied to the problem of edge detection. This leads to a very efficient implementation (8 multiplies+10 adds per pixel) of the optimal Canny edge detector based on the use of a separable second-order R-filter.>
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Cites
A Computational Approach to Edge Detection
Canny, J. (1986) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.1986.4767851 · Cited by 30,004
Marr, D., & Hildreth, E. (1980) · Proceedings of the Royal Society of London. Series B. Biological Sciences · doi:10.1098/rspb.1980.0020 · Cited by 6,510
Cited by
B-spline signal processing. I. Theory
Unser, M., Aldroubi, A., & Eden, M. (1993) · IEEE Transactions on Signal Processing · doi:10.1109/78.193220 · Cited by 940
Self-citationA Review of Geometric Transformations for Nonrigid Body Registration
Holden, M. (2008) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2007.904691 · Cited by 369
Metadata
- Authors
- Unser, M., Aldroubi, A., & Eden, M.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1991-03
- Volume
- 13
- Issue
- 3
- Pages
- 272-277
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2133887756
- Cited by
- 193
- References
- 2
- FWCI
- 11.56
- Type
- journal article
- Language
- en
- Open access
- closed
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