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Improving Deriche-style Recursive Gaussian Filters

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.

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Farnebäck, G., Westin, CF. Improving Deriche-style Recursive Gaussian Filters. J Math Imaging Vis 26, 293–299 (2006). https://doi.org/10.1007/s10851-006-8464-z

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  • DOI: https://doi.org/10.1007/s10851-006-8464-z

Keywords

  • filter theory
  • recursive filters
  • Gaussian filters