Algorithms for object segmentation are crucial in many image processing app
lications. During past years, active contour models (snakes) have been wide
ly used for finding the contours of objects. This segmentation strategy is
classically edge-based in the sense that the snake is driven to fit the max
imum of an edge map of the scene. In this paper, we propose a region snake
approach and we determine fast algorithms for the segmentation of an object
in an image. The algorithms developed in a Maximum Likelihood approach are
based on the calculation of the statistics of the inner and the outer regi
ons (defined by the snake). It has thus been possible to develop optimal al
gorithms adapted to the random fields which describe the gray levels in the
input image if we assume that their probability density function family ar
e known. We demonstrate that this approach is still efficient when no bound
ary's edge exists in the image. We also show that one can obtain fast algor
ithms by transforming the summations over a region, for the calculation of
the statistics, into summations along the boundary of the region. Finally,
we will provide numerical simulation results for different physical situati
ons in order to illustrate the efficiency of this approach.