ECE 3005 Digital Image Processing/ DA-1/Dr. Rajesh Muthu
Submission Date: 19-1-2023
Answer All The Question
1. Explain the basic Concept of Image sampling and quantization.
2.
Do histogram equalisation for the given image which has grey level range of 0-7, by
transforming it into a histogram equalised image with grey levels in the range of 0-7.
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3.
Consider two image subsets S1 and S2 (as shown in the image), for V= {1}. Determine
how many 4,8 and m connectivity exits in S1 and S2 . Is S1 and S2 are adjacent?
4. Match the images (1-6) shown in the figure below with their pixel histograms (A-F).
5. In a given application an averaging mask is applied to input images to reduce noise, and
then a Laplacian mask is applied to enhance small details. Would the result be the same if
the order of these operations were reversed?
6. The gray level probability density function of an image is given by 𝑃(𝑟) = 5
exp(−5𝑟), 0 ≤ 𝑟 ≤ 1 , which of the transformation 𝑠 = 𝑟2 𝑜𝑟 𝑠 = √𝑟 would produce a better
image? Explain
ECE 3005 Digital Image Processing/ DA-1/Dr. Rajesh Muthu
Submission Date: 19-1-2023
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7. Given an Image of size 3x3 as ƒ(𝑚, 𝑛) = [ 54 62 124 ]. Determine the output image
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𝑔(𝑚, 𝑛)using logarithmic transformation, 𝑔(𝑚, 𝑛) = [𝑐 log(1 + ƒ(𝑚, 𝑛))] by choosing c as
0.5.
8. Let us consider the following 2x2 image and transformation matrix A. Find out the basis
image.
Alongside, show that one can construct the original image from its unitary transform
coefficients and corresponding basis images.
9. An astronomer working with a large-scale telescope observes that her images are a little
blurry. The manufacturer tells the astronomer that the unit is operating within specifications.
The telescope lenses focus images onto a high-resolution, CCD imaging array, and the images
are then converted by the telescope electronics into digital images. Trying to improve the
situation by conduction controlled lab experiments with the lenses and imaging sensors is not
possible due to the size and weight of the telescope components. The astronomer, having heard
about your success as an image processing expert, calls you to help her formulate a digital
image processing solution for sharpening the images a little more. How would you go about
solving this problem, given that the only images you can obtain are images of stellar bodies?
10. Perform KL transform for the given Image
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