1 May 1994 Recursive FatBear filter
Author Affiliations +
The FatBear filter is a nonarithmetic filter for piecewise constant signals in high noise situations. The output of each window takes the pseudo-median of the medians of all sets of N + 1 values with minimum range. The Recursive FatBear filter is the extension of the FatBear filter. It replaces the original signal with the output before shifting the window to the next position. In this paper, we study the properties of the Recursive FatBear filter for pulse width filtering, impulse rejection, and edge enhancement. Experimental examples show that the Recursive FatBear filter is more effective than the FatBear filter in eliminating white Gaussian noise when the signal-to-noise ratio is large and still enhancing the edge. The fixed points of the FatBear filter are shown to also be fixed points of the Recursive FatBear filter. In addition a 2-D hybrid MED-Fatbear filter is presented and theoretical results for the recursive and nonrecursive case are presented for the 2-D case. Applications to synthetic data and to real images are given.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ping Yan, Harold G. Longbotham, "Recursive FatBear filter", Proc. SPIE 2180, Nonlinear Image Processing V, (1 May 1994); doi: 10.1117/12.172577; https://doi.org/10.1117/12.172577

Digital filtering

Filtering (signal processing)

Nonlinear filtering

Electronic filtering

Interference (communication)


Gaussian filters


Decision-directed entropy-based adaptive filtering
Proceedings of SPIE (December 01 1991)
Filtering by morphological pseudoconvolutions
Proceedings of SPIE (July 01 1990)
Pyramid median filtering by block threshold decomposition
Proceedings of SPIE (April 01 1991)
Edge and corner preserving smoothing for artistic imaging
Proceedings of SPIE (February 27 2007)

Back to Top