access icon free Adaptive empirical Bayes filter

A new edge-aware filter called the empirical Bayes filter (EBF) is presented. It is shown that the bilateral filter (BF), being a special case of the EBF, is an optimal filter in terms of Bayesian linear least square estimation. An adaptive EBF (AEBF), which is an adaptive combination of the BF output and the original image, is developed. Experimental results demonstrated that the AEBF outperforms the boosting algorithm in terms of improving the contrast of the bilateral filtered image.

Inspec keywords: Bayes methods; least squares approximations; edge detection; image filtering; adaptive filters

Other keywords: adaptive empirical Bayes filter; bilateral filtered image; optimal filter; Bayesian linear least square estimation; adaptive EBF; AEBF; edge-aware filter; bilateral filter

Subjects: Interpolation and function approximation (numerical analysis); Interpolation and function approximation (numerical analysis); Filtering methods in signal processing; Computer vision and image processing techniques; Other topics in statistics; Other topics in statistics; Image recognition

References

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      • 3. Miyasawa, K.: ‘An empirical Bayes estimator of the mean of a normal population’, Bull. Int. Stat. Inst., 1961, 38, pp. 181188.
http://iet.metastore.ingenta.com/content/journals/10.1049/el.2017.1308
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