mrcImageBilateralFilter
mrcImageBilateralFilter ismrcImageファイルを平滑化するための Eos's Command. It is a method for proposed by Tomasi and Manduchi, to smooth while maintaining the edge. It is a smoothing of weighted by the intensity difference of the image. （intensity difference, distance）をガウス分布などにより重みを計算していることにより、強度差がある領域をぼかすことなく維持できる。
Contents
Algorithm
It has two weights Wx(xi, xj) and WI(Ii,Ij), they are defined as such Lorenz function or Gaussian function of |xi-xj|, |Ii-Ij|. That is because the difference between the image becomes large near the edges、weight of Smoothing in density band that themselves belong is applied to them.
Failed to parse (Missing <code>texvc</code> executable. Please see math/README to configure.):
fi = Sigma_j(W(i,j)*Ij)/ Sigma_j(Wj)
,where W(i,j)=W_x(xi,xj)*W_I(Ii,Ij)
------- linfo.mode : 0
W_x(xi,xj) = exp(-|xi-xj|^2/2 sigmaSpace^2 )
W_I(Ii,Ij) = exp(-|Ii-Ij|^2/2 sigmaDensity^2)
------- linfo.mode : 1
W_x(xi,xj) = 1/(1+|xi-xj|^2/sigmaSpace^2 )
W_I(Ii,Ij) = 1/(1+|Ii-Ij|^2/sigmaDensity^2)
List of option
Main option
| Option | Essential/Optional | Description | Default |
|---|---|---|---|
| -i | Essential | Input：mrcImage | NULL |
| -o | Optional | Output：mrcImage | stdout(The standard output by default） |
| -sD | Optional | SigmaDensity(float) [ImageAmplitude] | 2.0 |
| -kTD | Optional | Kernel Type of Density (int) | 0 |
| -sS | Optional | SigmaSpace(float) [pixel] | 1.0 |
| -sS3 | Optional | SigmaSpace 3D (x:float, y:float, z:float) [pixel] | 1.0 1.0 1.0 |
| -kTS | Optional | Kernel Type of Space (int) | 0 |
| -kS | Optional | Kernel Size (int) [pixel] | 1.0 |
| -kS3 | Optional | Kernel Size 3D (x:int, y:int, z:int) [pixel] | 1.0 1.0 1.0 |
| -c | Optional | ConfigurationFile | NULL |
| -m | Optional | Mode | 0 |
| -h | Optional | Help |
-m details
| Value | Description |
|---|---|
| 0 |
-kTD details
| Value | Description |
|---|---|
| 0 | Gaussian function |
| 1 | Lorenz function |
-kTS details
| Value | Description |
|---|---|
| 0 | Gaussian function |
| 1 | Lorenz function |
Execution example
Input file(2D) image
 |
Min Max |
-18651.7 (10, 1, 0) 52942.7 (24, 39, 0) |
Example of options only essential
 |
Min Max |
-18651.7 (10, 1, 0) 52942.7 (24, 39, 0) |
Option -sD
Case: sD=50000
 |
Min Max |
-3963.33 (76, 66, 0) 36164.2 (26, 29, 0) |
Option -kTD
Case: kTD=1
 |
Min Max |
-4063.09 (56, 4, 0) 36357.6 (26, 29, 0) |
Option -sS
Case: sS=10
 |
Min Max |
-3196.78 (38, 0, 0) 32196.3 (25, 39, 0) |
Option -kTS
Case: kTS=1, sS=10
 |
Min Max |
-3198.73 (38, 0, 0) 32222.2 (25, 39, 0) |
Option -kS
Case: kS=10
 |
Min Max |
-3871.71 (76, 66, 0) 35969.2 (26, 29, 0) |
Input file(3D) image
|
|
Min Max |
-2390.42 (77, 14, 69) 4374.62 (17, 62, 46) |
Option -sD
Case: sD=1000
|
|
Min Max |
-1272.88 (77, 14, 69) 4131.48 (17, 62, 46) |
Option -sS3
Case: sS3=(1, 0.7, 1)
|
|
Min Max |
-1459.87 (77, 14, 69) 4154.41 (17, 62, 46) |
Option -kS3
Case: kS3=(2, 2, 1)
|
|
Min Max |
-1966.48 (78, 4, 26) 4354.27 (17, 62, 46) |
References
- C. Tomasi and R. Manduchi, Bilateral Filtering for Gray and Color Images, Proceedings of the 1998 IEEE International Conference on Computer Vision, Bombay, India
