2012 Symposium on Photonics and Optoelectronics 2012
DOI: 10.1109/sopo.2012.6270436
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Removing Poisson Noise by Optimization of Weights in Non-Local Means

Abstract: In this paper, we give a new algorithm to reconstruct a image from the data contaminated by the Poisson noise. Our approach is based on the weighted average of the observations in a neighborhood. But in contrast to the Non-Local means filter, instead of using weights defined by the Gaussian kernel, we use oracle weights obtained by minimizing an upper-bound on the Mean Square Error. Our theoretical results show that the weights defined by a triangular kernel are optimal and this approach makes it possible to a… Show more

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Cited by 9 publications
(12 citation statements)
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References 33 publications
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“…4c). To further reduce noise but to preserve edges in the mosaic images, we applied a nonlocal mean filter (Jin et al, 2011;Condat, 2010). The filtered image is shown in Fig.…”
Section: Multiorbital Composite Image For Switzerlandmentioning
confidence: 99%
See 1 more Smart Citation
“…4c). To further reduce noise but to preserve edges in the mosaic images, we applied a nonlocal mean filter (Jin et al, 2011;Condat, 2010). The filtered image is shown in Fig.…”
Section: Multiorbital Composite Image For Switzerlandmentioning
confidence: 99%
“…In the median filtered difference image, from all pixels brighter than a threshold of 4 dB, the brightest 5 % were considered the mask of potential avalanches. The threshold was determined empirically based on TSX data, but other authors also used thresholds of 4-6 dB (Eckerstorfer et al, 2019;Karbou et al, 2018;Vickers et al, 2016). To remove isolated bright pixels from the mask, we determined around each continuous area an ellipse and removed areas with a major axis shorter than 75 m (for both TSX and S1).…”
Section: Automated Avalanche Detectionmentioning
confidence: 99%
“…4d). To further reduce noise but to preserve edges in the mosaic images, we applied a non-local mean filter (Jin et al, 2011;Condat, 2010). The filtered image is shown in Fig.…”
Section: Multiorbital Composite Image For Switzerlandmentioning
confidence: 99%
“…Nevertheless, the increase in speed of the SIL algorithm compared to the basic one never exceeds the factor 4.5. However it should be noted that the speed increase may be much more important for NLM variants where the recommended patch size is greater than the maximum value of d s = 4 obtained here, see for example [14]. In the experiments the NLM-B algorithm appears much slower than NLM-P/NLM-Pa, with a CPU-time ratio between 6 (Color IPOL database, σ = 25) and 49 (Gray-level IPOL database, σ = 83).…”
Section: 52)mentioning
confidence: 76%