Improving Deriche-style Recursive Gaussian Filters

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.

• Type: Journal
• Year: 2006
• Where: JMIV
• Authors: Gunnar Farnebäck, Carl-Fredrik Westin
• Keywords: Gaussian Derivative Filters, Gaussian Smoothing Filters, JMIV 2006, Recursive Iir Filters