# What is the significance of the following equation in computer vision?

Say I have a set of sample measurements of a one dimensional curve in the image plane $f(x)$. What is the purpose of minimizing the following functional $$E(S) = \int \left[\lambda(S''(x))^2 + (f(x) - S(x))^2 \sum_k \delta (x - x_k)\right]dx$$

I believe it has something to do with energy minimization and snakes.

• Perhaps you might like to edit your question to include where you ran across this expression? – D.W. Oct 13 '14 at 8:36