  In this paper we present a new framework for the solution of active contour
models on graphs. With the use of the Finite Element Method we generalize
active contour models on graphs and reduce the problem from a partial
differential equation to the solution of a sparse non-linear system.
Additionally, we extend the proposed framework to solve models where the curve
evolution is locally constrained around its current location. Based on the
previous extension, we propose a fast algorithm for the solution of a wide
range active contour models. Last, we present a supervised extension of
Geodesic Active Contours for image segmentation and provide experimental
evidence for the effectiveness of our framework.
