please update this code to get high quality $>>$

$\%$ Read the input image

input$\_$image $=$ imread$(\text{'}$x$3.$jpeg'$)$;

figure, imshow$($input$\_$image$),$ title$(\text{'}$Original Image'$)$;

$\%$ Convert the image to grayscale

gray$\_$image $=$ rgb$2$gray$($input$\_$image$)$;

figure, imshow$($gray$\_$image$),$ title$(\text{'}$Grayscale Image'$)$;

$\%$ Convert the image to HSV color space for better shadow analysis

hsv$\_$image $=$ rgb$2$hsv$($input$\_$image$)$;

v$\_$channel $=$ hsv$\_$image$($:$,$ :$,3)$; $\%$ Extract the value $($brightness$)$ channel

$\%$ Perform adaptive thresholding on the V channel to detect shadow areas

threshold$\_$level $=$ graythresh$($v$\_$channel$)$; $\%$ Compute threshold

shadow$\_$mask $=$ imbinarize$($v$\_$channel, threshold$\_$level $*0\mathrm{.}8)$; $\%$ Adjust threshold

$\%$ Use morphological operations to clean up the shadow mask

se $=$ strel$(\text{'}$disk$\text{'},5)$; $\%$ Structural element for morphological operation

shadow$\_$mask $=$ imclose$($shadow$\_$mask, se$)$; $\%$ Close small gaps in the mask

shadow$\_$mask $=$ imfill$($shadow$\_$mask, 'holes'$)$; $\%$ Fill holes in the shadow regions

figure, imshow$($shadow$\_$mask$),$ title$(\text{'}$Shadow Mask'$)$;

$\%$ Use inpainting to remove shadows from the image

inpainted$\_$image $=$ input$\_$image; $\%$ Initialize the inpainted image

for i $=1$:$3\%$ Process each color channel

channel $=$ inpainted$\_$image$($:$,$ :$,$ i$)$;

channel$($shadow$\_$mask$)=$ mean$($channel$($~shadow$\_$mask$))$; $\%$ Inpaint shadow regions

inpainted$\_$image$($:$,$ :$,$ i$)=$ channel;

end

figure, imshow$($inpainted$\_$image$),$ title$(\text{'}$Shadow Removed Image'$)$;

$\%$ Display final results

subplot$(2,2,1),$ imshow$($input$\_$image$),$ title$(\text{'}$Original Image'$)$;

subplot$(2,2,2),$ imshow$($gray$\_$image$),$ title$(\text{'}$Grayscale Image'$)$;

subplot$(2,2,3),$ imshow$($shadow$\_$mask$),$ title$(\text{'}$Detected Shadow Mask'$)$;

subplot$(2,2,4),$ imshow$($inpainted$\_$image$),$ title$(\text{'}$Shadow Removed Image'$)$;