Develop a program in either Python or Java to replicate the processes oumied in rigune $3\mathrm{.}41$ using $2$ different lowpass filters, maintaining the same order of execution. Display the resulting images with consistent formatting.

Input Image: HW Image$1.$tiff from Icollege

a b c

FIGURE $3\mathrm{.}41($a$)$ A $25662758$ Hubble Telescope image of the Hickson Compact Group. $($b$)$ Result of lowpass filtering with a Gaussian kernel. $($c$)$ Result of thresholding the filtered image $($intensities were scaled to the range $0,1).$ The Hickson Compact Group contains dwarf galaxies that have come together, setting off thousands of new star clusters. $($Original im$$ge courtesy of NASA.$)$

Problem $2.(40$ points$)$

Develop a program in either Python or Java to replicate the processes outlined in Figure $3\mathrm{.}57,$ maintaining the same order of execution. Display the resulting images with consistent formatting.

Input Image: HW$\_$Image$2.$tiff from Icollege