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. Author manuscript; available in PMC: 2014 Oct 8.
Published in final edited form as: IEEE Trans Biomed Eng. 2014 Sep;61(9):2451–2457. doi: 10.1109/TBME.2014.2320463

Fig. 1.

Fig. 1

Demonstration of the null space problem using central Cartesian navigators. (a) One frame of a numerical phantom and (b) a spatiotemporal slice through the dotted line. Spatiotemporal slices after projecting the phantom onto the subspace SΦ̂ estimated from (c) horizontal and (d) vertical Cartesian navigators through the k-space origin. The vertical translation of the gray circle is not captured by the horizontal navigator, and the horizontal translational of the white circle is not captured by the vertical navigator.