deerlab.sophegrid

sophegrid(octants, maxphi, size)

Construct spherical grid over spherical angles based on input parameters. The grid implemented in this function is often called the SOPHE grid [1]. Adapted from Easyspin [2] sphgrid_ source code.

Parameters:

octantsinteger

Number of “octants” of the sphere; for each increment in theta, octants additional points are added along phi; special cases: octants=0 and octants=-1.

maxphifloat

Largest value of angle phi (radians).

sizeinteger

Number of orientations between theta=0 and theta=pi/2.

Returns:

phindarray

Array of the phi angles of the grid points in radians.

thetandarray

Array of the theta angles of the grid points in radians.

weightsndarray

Array of the weights corresponding to each grid point.

References

[1]

D. Wang, G. R. Hanson J.Magn.Reson. A, 117, 1-8 (1995) https://doi.org/10.1006/jmra.1995.9978

[2]

Stefan Stoll, Arthur Schweiger J. Magn. Reson. 178(1), 42-55 (2006) https://doi.org/10.1016/j.jmr.2005.08.013