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Extremely efficient and deterministic approach to generating optimal ordering of diffusion MRI measurements
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10.1118/1.3615163
/content/aapm/journal/medphys/38/8/10.1118/1.3615163
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/38/8/10.1118/1.3615163

Figures

Image of FIG. 1.
FIG. 1.

Antipodally symmetric point sets with (a) 30, (b) 50, and (c) 188 points on the upper hemisphere or, respectively, 60, 100, and 376 points on the whole sphere.

Image of FIG. 2.
FIG. 2.

A sequence of pairs of points.

Image of FIG. 3.
FIG. 3.

(a) A rectangular grid indicating J rows and K number of shells. The first, shell has J number of points and the rest of the remaining shells are arranged in descending order in terms of the number of points in each shell. (b) An simple example for illustrating the diagonal ordering across multiple shells, the ordering is shown in the following sequence of [(1), (2), (3),…,(8)].

Image of FIG. 4.
FIG. 4.

Comparison of normalized energy of various ordering schemes.

Image of FIG. 5.
FIG. 5.

Execution time of the proposed schemes as a function of the number of gradient directions.

Tables

Generic image for table
TABLE I.

Cantorian Ordering of 4 shells (or K = 4 columns) of 6 points (or J = 6 rows).

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/content/aapm/journal/medphys/38/8/10.1118/1.3615163
2011-07-29
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Extremely efficient and deterministic approach to generating optimal ordering of diffusion MRI measurements
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/38/8/10.1118/1.3615163
10.1118/1.3615163
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