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Improving Fiber Alignment in HARDI by Combining Contextual PDE Flow with Constrained Spherical Deconvolution

Fig 2

Stochastic interpretation of the contour enhancement kernels.

A. Accumulation of 300 sample paths drawn from the underlying stochastic process of the contour enhancement PDE in ℝ2S1, projected on the xy-plane. B. The contour enhancement kernel arises from the accumulation of infinitely many sample paths. The gray-scale contours indicate the marginal of the kernel, obtained by integration over S1, the red glyphs are polar graphs representing the kernel at each grid point. C. The contour enhancement kernel oriented in the positive z-direction in ℝ3S2 can be visualized on a grid with glyphs that in this case are spherical graphs.

Fig 2

doi: https://doi.org/10.1371/journal.pone.0138122.g002