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EE434 Homework # 3 solved

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Download Fig3.08(a).jpg , Fig3.46(a).jpg and Fig0462(a)(PET_image).tif.
Question #1:
a) Apply power-law transformation, s = c r

, where c and  are positive constants to
the image named Fig3.08(a).jpg for each case below. Obtain the resulting image
for each case. Plot it and comment on it.
i. For c = 1 and  = 0.6
ii. For c = 1 and  = 0.4
iii. For c = 1 and  = 0.3
b) Apply below operations sequentially to the image named Fig3.46(a).jpg. Plot
resulting images for each case and comment on these images.
i. Let’s name the original image as “a”. Plot “a”.
ii. Take Laplacian of “a”, name the resulting image as “b”. Plot “b”.
iii. Obtain sharpened image, “c”, by adding “a” and “b”. Plot “c”.
iv. Apply Sobel operator to “a” and name the resulting image as “d”. Plot “d”.
v. Smooth “d” by applying a 5×5 averaging filter. Name the resulting image
as “e”. Plot “e”.
vi. Obtain a mask image “f” by the product of “c” and “e”. Plot “f”.
vii. Obtain sharpened image “g” by the sum of “a” and “f”. Plot “g”.
viii. Obtain the final resulting image “h” by applying a power-law
transformation to “g”. Plot “h”.
ix. Compare “g” and “h” with “a”.
Please don’t forget to put appropriate titles for each figure.
Question #2: Apply the homomorphic filtering approach to the image,
Fig0462(a)(PET_image).tif, obtain the enhanced result. Plot it. Comment on the result.