Improving Deriche-style Recursive Gaussian Filters

Authors:
Gunnar Farnebäck;Carl-Fredrik Westin
Affiliations:
Department of Radiology, Brigham and Womens' Hospital and Harvard Medical School, Boston 02115;Department of Radiology, Brigham and Womens' Hospital and Harvard Medical School, Boston 02115
Venue:
Journal of Mathematical Imaging and Vision
Year:
2006

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Abstract

Gaussian smoothing filters and Gaussian derivative filters can be estimated by recursive IIR filters, as shown by Deriche [3, 4]. The design of those filters does, however, not enforce the important property that derivative filters should have an exactly zero DC-response. This article extends the theory in [4] to take this constraint into account without loss of performance and also gives new compact closed form expressions for the normalization factors required for proper scaling of the filter responses.