MATLAB

Question$-7($Image processing$)$:

Image processing. Write a function to display a color image, as well as its red, green, and blue

layers separately. The function declaration should be im $=$ displayRGB$($filename$).$ filename

should be the name of the image $($make the function work for $*.$jpg images only$).$ im should be the

final image returned as a matrix. To test the function, you should put a jpg file into the same

directory as the function and run it with the filename $($include the extension, for example $im=$

displayRGB$(\text{'}$testImage$.$jpg$\text{'})).$ You can use any picture you like, from your files or off the

internet. Useful functions: imread, meshgrid, interp$2,$ uint$8,$ image, axis equal, axis tight.

a$.$ To make the program work efficiently with all image sizes, first interpolate each color

layer of the original image so that the larger dimension ends up with $800$ pixels. The smaller

dimension should be appropriately scaled so that the length:width ratio stays the same. Use interp$2$

with cubic interpolation to resample the image. Hint: The image is an $MxNx3$ matrix; you need to

interpolate each of the $3$ color layers separately. Note: If you have difficulty doing this section, try

part $($b$)$ first. $($But if you get part $($b$)$ working, try to do this and use the interpolated image for part

$($b$).)$

b$.$ Create a composite image that is $2$ times as tall as the original, and $2$ times as wide. Place

the original image in the top left, the red layer in the top right, the green layer in the bottom left,

and the blue layer in the bottom right parts of this composite image. The function should return the

composite image matrix in case you want to save it as a jpg again $($before displaying or returning,

convert the values to unsigned $8-$bit integers using uint$8).$ Hint: To get just a single$-$color layer, all

you have to do is set the other two layers to zero. For example if $x$ is an $MxNx3$ image, then

$x($:$,$;$,2)=0$;$x($:$,$;$,3)=0$; will retain just the red layer. Include your code and the final image in your

homework writeup. It should look something like this: