# A New Adaptive Spatial Filtering Method in the Wavelet Domain for Medical Images
## Appendix A  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline  & & & & a. & Boat image, & \(256\times 256\) pixels. & & & & & & \\ \cline{2-13}  & & \multicolumn{4}{c}{\(\sigma\)=0.05} & & & & & & & & & \\ \cline{2-13}  & \multicolumn{4}{c}{**Initial Image**} & PSNR = **26.07 dB** & **C = 64.61\%** & \multicolumn{4}{c}{**Initial Image**} & PSNR = **20.03 dB** & **C = 47.09\%** \\ \cline{2-13}  & \multicolumn{4}{c}{**Second**} & & & & & & & & & & \\ \multicolumn{1}{c}{} & \multicolumn{4}{c}{**Processing Stage**} & PSNR = **30.88 dB** & **C = 64.29\%** & \multicolumn{4}{c}{**Second**} & & & & & \\ \cline{2-13}  & \multicolumn{4}{c}{**Ideal Contour**} & \multicolumn{4}{c}{**Real Contour**} & \multicolumn{4}{c}{**Filtered Contour**} & \multicolumn{4}{c}{**Ideal Contour**} & \multicolumn{4}{c}{**Real Contour**} & \multicolumn{4}{c}{**Filtered Contour**} \\  & \multicolumn{4}{c}{**Map**} & \multicolumn{4}{c}{**Map**} & \multicolumn{4}{c}{**Map**} & \multicolumn{4}{c}{**Map**} & \multicolumn{4}{c}{**Map**} & \multicolumn{4}{c}{**Map**} \\ \cline{2-13}  & \multicolumn{4}{c}{**PSNR**} & **C** & **PSNR** & **C** & **PSNR** & **C** & **PSNR** & **C** & **PSNR** & **C** & **PSNR** & **C** \\  & \multicolumn{4}{c}{**(dB)**} & **(\%)** & **(dB)** & **(\%)** & **(dB)** & **(\%)** & **(dB)** & **(\%)** & **(dB)** & **(\%)** & **(dB)** & **(\%)** \\ \hline
0.050 & 30.93 & 6  
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline  & \multicolumn{10}{c}{f. Goldhill image, \(256\times 256\) pixels.} \\ \cline{3-13}  & \multicolumn{10}{c}{\(\sigma\)=0.05} & \multicolumn{10}{c}{\(\sigma\)=0.1} \\ \cline{2-13}  & \multicolumn{1}{c}{**Initial Image**} & \multicolumn{1}{c}{**PSNR = 26.03 dB**} & \multicolumn{1}{c}{**C = 57.42\%**} & \multicolumn{1}{c}{**Initial Image**} & \multicolumn{1}{c}{**PSNR = 20.11 dB**} & \multicolumn{1}{c}{**C = 42.43\%**} \\ \cline{2-13}  & \multicolumn{1}{c}{**Second**} & \multicolumn{1}{c}{**PSNR = 29.37 dB**} & \multicolumn{1}{c}{**C = 58.92\%**} & \multicolumn{1}{c}{**Second**} & \multicolumn{1}{c}{**PSNR = 25.89 dB**} & \multicolumn{1}{c}{**C = 40.30\%**} \\ \cline{2-13}  & \multicolumn{1}{c}{**Ideal Contour**} & \multicolumn{1}{c}{**Real Contour**} & \multicolumn{1}{c}{**Filtered Contour**} & \multicolumn{1}{c}{**Ideal Contour**} & \multicolumn{1}{c}{**Ideal Contour**} & \multicolumn{1}{c}{**Real Contour**} & \multicolumn{1}{c}{**Filtered Contour**} \\  & \multicolumn{1}{c}{**Map**} & \multicolumn{1}{c}{**Map**} & \multicolumn{1}{c}{**Map**} & \multicolumn{1}{c}{**Map**} & \multicolumn{1}{c}{**Map**} & \multicolumn{1}{c}{**Map**} & \multicolumn{1}{c}{**Map**} \\ \cline{2-13}  & \multicolumn{1}{c}{**PSNR**} & \multicolumn{1}{c}{**C**} & \multicolumn{1}{c}{**PSNR**} & \multicolumn{1}{c}{**C**} & \multicolumn{1}{c}{**PSNR**} & \multicolumn{1}{c}{**C**} & \multicolumn{1}{c}{**PSNR**} & \multicolumn{1}{c}{**C**} & \multicolumn{1}{c}{**PSNR**} & \multicolumn{1}{c}{**C**} \\ \cline{2-13}  & \multicolumn{1}{c}{**(dB)**} & \multicolumn{1}{c}{**(\%)**} & \multicolumn{1}{c}{**(dB)**} & \multicolumn{1}{c}{**(\%)**} & \multicolumn{1}{c}{**(dB)**} & \multicolumn{1}{c}{**(\%)**} & \multicolumn{1}{c}{**(dB)**} & \multicolumn{1}{c}{**(\%)**} & \multicolumn{1}{c}{**(dB)**} & \multicolumn{1}{c}{**(\%)**} & \multicolumn{1}{c}{**(dB)**} & \multicolumn{1}{c}{**(\%)**} & \multicolumn{1}{c}{**(dB)**} & \multicolumn{1}{c}{**(\%)**} \\ \hline
0.050 & 29.40 & 60.74 & 29.02 & 60.44 & 29.05 & 60.48 & 25.72 & 44.06 & 24.50 & 42.61 & 24.37 & 42.81 \\ \hline
0.075 & 29.42 & 59.73 & 29.22 & 59  
**Table A1. **_Cont._  
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline  & \multicolumn{10}{c}{i. Lena image, \(256\times 256\) pixels.}