Develop a program in either Python or Java to replicate the processes outlined in Figure $4\mathrm{.}49$ using Butterworth low$-$pass filter in the frequency domain with $D_0$ values set to $140$ and $120,$ maintaining the same order of execution.

Display the resulting images with consistent formatting.

Input Image: HW$\_$Image$3.$tiff from Icollege

FIGURE $4\mathrm{.}49($a$)$ Original $785732$ image. $($b$)$ Result of filtering using a GLPF with $D_0=150.($c$)$ Result of filtering using a GLPF with $D_0=130.$ Note the reduction in fine skin lines in the magnified sections in $($b$)$ and $($c$).$