Effect in frequency domain, Applied Statistics

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A) The three images shown below were blurred using square masks of sizes n=23, 25, and 45, respectively. The vertical bars on the le_ lower part of (a) and (c) are blurred, but a clear separation exists between them. However, the bars have merged in image (b), in spite of the fact that the mask that produced this image is significantly smaller than the mask that produced image (c).Explain this phenomena. 

1180_Relationship between translation.png

B)    Briefly explain in your own words the following:

i. Relationship between translation/shifting in Spatial Domain (SD) to its effect in Frequency Domain (FD).

ii. How can translation/shifting in FD be obtained through operation in SD?

iii. Relationship between rotations of an image in Spatial Domain (SD) to its effect in Frequency Domain (FD).


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