Write a MATLAB program to complete the following tasks:

$$ Read an image into the workspace $($e$.$g$.,$ using MATLAB function imread$)$ and display

the image $($e$.$g$.,$ using MATLAB function imshow$).$ The image file name should be

image.png and there is no need to submit the image. $(10$ points$)$

$$ Display each channel of this image in a separate figure $($window$).(10$ points$)$

$$ Convert the color image into HSV color space $($e$.$g$.,$ using rgb$2$hsv$)$ and display each

channel in a separate figure. Note the channels are the HSV channels. $(10$ points$)$

$$ Enlarge the image two times $($e$.$g$.,$ using the function imresize$)$ and crop the enlarged

image to its original size $($e$.$g$.,$ using the function imcrop$)(10$ points$)$

$$ Convert the color image into grayscale $($e$.$g$.,$ using function rgb$2$gray$)(10$ points$)$

$$ Generate the histogram of the grayscale image and display it on screen $(10$ points$)$

$$ Write a function to achieve histogram matching $($hint: use MATLAB built$-$in function

histeq as the starting point$)(30$ points$)$

$$ The function takes two input images $($either color or grayscale images$)$ and uses the

histogram of one image as the reference to modify the histogram of the other image

so that the histograms of both after histogram matching are similar $($statistically$).$

$$ Hint: check the dimensionality of the input image and include a call to the color

conversion function if the image has three channels at the start of the histogram

matching function so that the function deals with color and grayscale images.

$$ Save the resulting image after the histogram matching into an image file $($e$.$g$.,$ using the

function imwrite$)(10$ points$)$