Abstract
The Gaussian filter is a local and linear filter that smoothes the whole image irrespective of its edges or details, whereas the bilateral filter is also a local but non-linear, considers both gray level similarities and geometric closeness of the neighboring pixels without smoothing edges. The extension of bilateral filter: multi-resolution bilateral filter, where bilateral filter is applied to approximation subbands of an image decomposed and after each level of wavelet reconstruction. The application of bilateral filter on the approximation subband results in loss of some image details, whereas that after each level of wavelet reconstruction flattens the gray levels thereby resulting in a cartoon-like appearance. To tackle these issues, it is proposed to use the blend of Gaussian/bilateral filter and its method noise thresholding using wavelets. In Gaussian noise scenarios, the performance of proposed methods is compared with existing denoising methods and found that, it has inferior performance compared to Bayesian least squares estimate using Gaussian Scale mixture and superior/comparable performance to that of wavelet thresholding, bilateral filter, multi-resolution bilateral filter, NL-means and Kernel based methods. Further, proposed methods have the advantage of less computational time compared to other methods except wavelet thresholding, bilateral filter.
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Abbreviations
- BF:
-
Bilateral filter
- GFMT:
-
Gaussian filter and its Method noise thresholding
- BFMT:
-
Bilateral filter and its Method noise thresholding
- MRBF:
-
Multi-resolution bilateral filter
- NL-means:
-
Non local-means
- WT:
-
Wavelet transform
- MSE:
-
Mean-squared error
- SURE:
-
Stein unbiased risk estimator
- BLS-GSM:
-
Bayesian least squares estimate using Gaussian Scale mixture
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Shreyamsha Kumar, B.K. Image denoising based on gaussian/bilateral filter and its method noise thresholding. SIViP 7, 1159–1172 (2013). https://doi.org/10.1007/s11760-012-0372-7
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DOI: https://doi.org/10.1007/s11760-012-0372-7