Recall that the 2D Fourier transform essentially maps an image into a collection of patterns. Consider the following k-space coordinates and sketch the pattern they represent. a. k, = kỹ b. k2 = 2k (0.5 2 +9) c. k, =2 V3 Take the constant k to represent a pattern with a periodicity of that of the lines on a piece of notebook paper, and scale each of them appropriately.

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Recall that the 2D Fourier transform essentially maps an image into a collection of
patterns. Consider the following k-space coordinates and sketch the pattern they
represent.
a. k, = kŷ
b. kz = 2k (0.5 & + 9)
c. kz =2
V3
Take the constant k to represent a pattern with a periodicity of that of the lines on a
piece of notebook paper, and scale each of them appropriately.
Transcribed Image Text:Recall that the 2D Fourier transform essentially maps an image into a collection of patterns. Consider the following k-space coordinates and sketch the pattern they represent. a. k, = kŷ b. kz = 2k (0.5 & + 9) c. kz =2 V3 Take the constant k to represent a pattern with a periodicity of that of the lines on a piece of notebook paper, and scale each of them appropriately.
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