K-Optimal Gradient Encoding Scheme for Fourth-Order Tensor-Based Diffusion Profile Imaging

Figure 1

Shape of 10 fourth-order tensors used for the evaluation of the proposed method: (a) single-fiber with orientation , (b) single-fiber with orientation , (c) single-fiber with orientation , (d) two fibers with orientations and and with relative weights 1 : 1, (e) two fibers with orientations and and with relative weights 2 : 1, (f) two fibers with orientations and and with relative weights 4 : 1, (g) two fibers with orientations and and with relative weights 1 : 1, (h) two fibers with orientations and and with relative weights 2 : 1, (i) two fibers with orientations and and with relative weights 1 : 1, and (j) three perpendicular fibers with orientations , , and . Tensors (a)–(j) correspond to in Table 4.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(j)