1. Switching Bilateral Filter With a Texture/Noise Detector for Universal Noise Removal
Chih-Hsing Lin, Jia-Shiuan Tsai, and Ching-Te Chiu
Transactions on: Image Processing, IEEE Journals 2010

2. Outline Introduction Sorted Quadrant Median Vector for Noise Detection
Noise models
Definition of Sorted Quadrant Median Vector (SQMV)
Features of SQMV
Edge/Texture identification with the clusters of SQMV
Reference median
Switching Bilateral Filter
Switching scheme
Noise detector design
Switching bilateral filter
Experimental Results
Conclusions

3. Introduction Gaussian noise: a zero-mean Gaussian distribution.
Effective filter: linear filters (ex: averaging)
Side effect: blurring
Impulse noise: replacing a portion of an image pixels with noise values.
Effective filter: nonlinear filters (ex: median)
In this paper, we propose a universal noise removal filter based upon the “detect and replace” methodology.

4. -Noise models The Impulse noise corrupted pixel ui,j :
Salt-and-pepper: ni,j only takes values of Lmin or Lmax.
Uniform impulse: ni,j takes random values from the interval [Lmin , Lmax] with a uniform distribution.
The Gaussian noise corrupted pixel ui,j :
In this paper, mixed impulse and Gaussian noise is considered, and the Gaussian noise is independent of impulse noise.

5. Sorted Quadrant Median Vector for Noise Detection
Motivation of the Noise Detection Scheme:
Existing two-state noise detectors fail in several conditions[9][17].
The central pixel of (a) (b) identified as noise-free pixel.
The medians of (c) still similar.
The processing window size is too small.
[9] T. Chen and H. R. Wu, “Adaptive impulse detection using center-weighted median filters,” IEEE Signal Process Lett., vol. 8, no. 1, pp. 1–3, Jun
[17] P. E. Ng and K. K. Ma, “A switching median filter with boundary discriminative noise detection for extremely corrupted images,” IEEE Trans. Image Process., vol. 15, no. 6, pp. 1506–1516, Jun

6. -Definition of Sorted Quadrant Median Vector (SQMV)
To overcome the problems, we propose a sorted quadrant median vector (SQMV):
For a (2N+1) *(2N+1) window we divide the window into four (N+1)*(N+1) subwindows .
In the case N = 2:

7. -Definition of Sorted Quadrant Median Vector (SQMV)
The set of points can be expressed as:
For (2N+1) *(2N+1) window:
For (N+1) *(N+1) subwindows:
Where the SQMV is defined as:
SQM1, SQM2, SQM3 and SQM4 are the medians m1, m2, m3, and m4 sorted in an ascending order.

8. -Features of SQMV

9. -Features of SQMV

10. -Features of SQMV

11. -Features of SQMV

12. -Edge/Texture identification with the clusters of SQMV
The difference between two boundary values:
ρ lies in the interval [25–40]

13. -Edge/Texture identification with the clusters of SQMV
Experimental result:

14. -Reference median
In “without edge” or “weak edge” cases, the reference median (SQMR) for xij is the average of SQM2 and SQM3 (major cluster).
In “edge or texture” case, decide which cluster the current pixel xij falls into by dav:

15. -Reference median The pixel selection of x1~x4:
The reference median (SQMR) in each case:
Even if complex texture , the filtering
result would be less artificial.
“without edge” or “weak edge”
“edge or texture”

16. Switching Bilateral Filter
xi,j: the current pixel ̶ yi,j: the filtered pixel
xi+s,j+t : he pixels in (2N+1)*(2N+1) window

17. -Switching scheme
In the switching scheme, we the noise detector searches for noisy pixels and tries to distinguish them from uncorrupted ones.
The filtered image is defined as follows:
S1 and S2: the binary control signals generated by the noise detector.

18. -Noise detector design
The noise detection :
The threshold:
For salt-and-pepper impulse noise: [Tk1 Tk2] = [30 15]
For uniform impulse and Gaussian noise: [Tk1 Tk2] = [25 5]

19. -Switching bilateral filter
Propose a new universal noise removal algorithm: the switching bilateral filter (SBF)
Parameter selection:
For “edge” σS = 3, otherwise σS = 1.
σR = [30,50] will work well, we choose σR = 40.

20. Experimental Results

21. Experimental Results

22. Experimental Results

23. Experimental Results

24. Experimental Results

25. Conclusions
Propose SQMV for edge/texture detection, noise detection and switching bilateral filter.
The noise detector shows a good performance in identifying noise even in mixed noise models.
In most of the noise model cases, proposed filter outperforms both in PSNR and visually.