# Minimum path on known potential surface

I'm searching for the minimum path between the minima of a potential surface that is already known on a grid.

Any point on the path is at an potential minimum in all directions perpendicular to the path.

Is there any SciPy method or any other python package to compute this path? I'm not looking for a method that can search on an unknown surface.

edit: I'm searching the path with the lowest potential barrier.

• As soon, as I reach the reputation, I can provide an image to clarify. Jul 30 '13 at 14:35
• When you say the data is already on a grid, does that mean you're trying to find this path on the gridded data with minimal further computation? Jan 9 '19 at 4:22

• In typical problems, only the path with extremal action $S$ ($\delta S = \delta \int L(q, \dot q, t)\,\mathrm{d}t$ = 0\$) is realised by nature. With zero variation at initial&final times, these are the paths obtained from the Euler-Lagrange equations. Aug 2 '13 at 20:17