"Geography" of k-space

If the points in k-space don't correspond to points in the image, what do they mean?  
Although there is no direct correspondence between the location of a cell in k-space and location of a pixel in the image, different parts of k-space do correspond topologically to spatial frequencies in the MR image.  As illustrated below, data near the center of k-space corresponds to low spatial frequencies (i.e., general shapes and contours), whereas data from the periphery relates to high-spatial frequencies (i.e., edges, details). 

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References
     Mezrich R. A perspective on k-space. Radiology 1995; 195: 297-315. [review].
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