inerroi
Computes the inner product on ROI.
Contents
Syntax
i = innerroi(x,y,seti)
Description
innerroi(x,y,seti) computes the inner product on the region of interest from two complex vectors x, y.
Input Arguments
- x, y : two complex vectors of size seti.nROI^seti.dim (values in region of interest written as a vector).
- seti.dV : area/volume of the infinitesimal element (pixel/voxel) of CD, setGrid.html.
Output Arguments
i : inner product on ROI, see More About.
More About
The inner product is, see [1, Sec. 3.6, eq. (33)]:
with for
with
.
References
- [1] Florian Bürgel, Kamil S. Kazimierski, and Armin Lechleiter. A sparsity regularization and total variation based computational framework for the inverse medium problem in scattering. Journal of Computational Physics, 339:1-30, 2017. URL: https://doi.org/10.1016/j.jcp.2017.03.011.
See Also
Code
function i = innerroi(x,y,seti) i = (y'*x)*seti.dV; end