Image Processing Reference

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receivers. Discuss your observations for the various scenarios and

give some speculation for reasons for the variations observed. Which

method performs best for image shape? Which method performs best

for proper scale? Please speculate as to why you think this is the case.

2. Use
Cepstrum
in MATLAB to generate Born and Cepstrum recon-

structions for a two squares (Choice 3) using 12 sources and 120

receivers. Use any valid permittivity. Inspect the images for the pres-

ence of aliasing. Do this as many times as necessary, decreasing the

number of receivers each time, until aliasing is present in the images.

What is the number of receivers when aliasing is first observed? Use

the method (and receiver distance) discussed in the topic to calcu-

late the maximum spacing that should be to avoid aliasing. How does

this compare with what you observed experimentally? Now re-run

the same scenario where the aliasing was first observed, except this

time set the jitter bandwidth to 2 and inspect new image for aliasing.

Do this one more time except set the jitter bandwidth to 4 and again

inspect the resulting image. Does this eliminate the aliasing from the

reconstructed image? What is the impact on the Ewald circles?

3. Use
Cepstrum
in MATLAB to generate Born and Cepstrum recon-

structions for any target consisting of two objects (Choice 1, 3, or 5)

using any valid permittivity and a minimum of 6 sources and 120

receivers. Be sure and show the individual Born and Cepstrum recon-

structions for each source. Please discuss your observations for the

individual Born and Cepstrum reconstructions for each source and

speculate on their relationship to the Born and Cepstrum of the com-

bined sources. Which method performs the best? Why do you think

this is?

4. Use
Cepstrum
in MATLAB to generate Born and Cepstrum recon-

structions for a combination of one circle, one square, and one triangle

(Choice 6) using a minimum of 12 sources and 120 receivers. Set the

permittivity equal to 1.2. Run this scenario three separate times with

everything identical with the exception of varying the filter sigma

value for sigma equal to 1, 5 (default), and 50. Observe and compare

the effects of varying sigma on each reconstruction method. Does it

affect each method the same? Why or why not? What seems to be the

optimal value for sigma for each case?

5. Use
Cepstrum
in MATLAB to generate Born and Cepstrum recon-

structions for a combination of one circle, one square, and one triangle

(Choice 6) using a minimum of 12 sources and 120 receivers. Set the

permittivity equal to 1.2. Run this scenario three separate times with

everything identical with the exception of varying the filter multi-

plier value to 0.01, 0.0555556 (default), and 1. Observe and compare

the effects of varying the multiplier on each reconstruction method.

Does it affect each method the same? Why or why not? What seems to

be the optimal value for this multiplier for each case?

6. Use
Cepstrum
in MATLAB to generate Born and Cepstrum recon-

structions for a combination of one circle, one square, and one tri-

angle (Choice 6) using a minimum of 12 sources and 120 receivers. Set

the permittivity equal to 1.2. Run this scenario three separate times

with everything identical with the exception of varying the Reference

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