Test-Problems0

# Test-Problems0 - (image – not the power spectrum will be...

This preview shows pages 1–2. Sign up to view the full content.

CSCE 5225 DIP Exam Review Problems There will be between 4 and 6 problems on the test. You will be given two sets of three problems. One problem from each set will be on the test. (That is, you will see two of the problems that will actually be on the test.) The first set of three problems is: 1. Prove the following two Fourier transform properties: a. f(-x,-y) = F --1 {F * (u,v)} if f(-x,-y) is real b. f * (x,y) = F --1 {F * (-u,-v)} if f(x,y) is imaginary 2. Prove the following: a. The DFT of the discrete function f(x,y) = 1 is b. The DFT of the discrete function f(x,y) = sin (2 π u 0 x+2 π v 0 y) is 3. Given an image of size M x N , imagine performing an experiment that consists of repeatedly lowpass filtering the image using a Gaussian lowpass filter with a given cutoff frequency D 0 . Ignore computational round-off error. Let c min denote the smallest positive number representable in the machine in which the imagined experiment will be conducted. a. Let K denote the number of applications of the filter. Can you predict what the result

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (image – not the power spectrum) will be for a sufficiently large value of K ? (What is the result?) b. Derive an expression for the minimum value of K that will guarantee the result in part (a). The second set of three problems is: 1. Suppose that a digital image is subjected to histogram equalization. Show that a second pass of histogram equalization (on a histogram-equalized image) will produce exactly the same result as the first pass. 2. Two images, f(x,y) and g(x,y) , have histograms h f and h g . Give conditions under which you can determine the histograms of a. f(x,y) + g(x,y) b. f(x,y) – g(x,y) 3. Discuss the limiting effect of repeatedly applying a 3 x 3 lowpass (averaging) spatial filter to a digital image. Ignore the border effects. (Compare with problem 3 in the first set, remembering that not the same filter is used here.)...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern