The inverse of the gradient function. I've provided versions that work on 1-d vectors, or 2-d or 3-d arrays. In the 1-d case I offer 5 different methods, from cumtrapz, and an integrated cubic spline, plus several finite difference methods.
In higher dimensions, only a finite difference/linear algebra solution is provided, but it is fully vectorized and fully sparse in its approach. In 2-d and 3-d, if the gradients are inconsistent, then a least squares solution is generated.
(I'll enhance the 2-d and 3d tools if there is any interest. Currently they are set to be 2nd order methods on uniform grids.)
Please notify me of any bugs.
John D'Errico (2022). Inverse (integrated) gradient (https://www.mathworks.com/matlabcentral/fileexchange/9734-inverse-integrated-gradient), MATLAB Central File Exchange. Retrieved .
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