image thumbnail

Inverse (integrated) gradient

version (12.4 KB) by John D'Errico
Vectorized & fully sparse 1-d, 2-d, & 3-d integrated gradients


Updated 2 Jan 2013

View License

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.

Cite As

John D'Errico (2022). Inverse (integrated) gradient (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14SP1
Compatible with any release
Platform Compatibility
Windows macOS Linux

Inspired by: Inverse Gradient

Inspired: PIVMat 4.20

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!