Dynamic Segmentation : Detecting Complex Topology 3D-object
François Leitner, Philippe Cinquin · 2005
The continuous model of an image to segment can be used to consider the segmenting problem as the evolution of a 3D surface (modelised by spline tensorial products) under strenghts comparable to those used in active contours or snakes. The advantage of this method is that this evolution can be modelled with a simple differential system, the variables of which are the coefficients of the B-splines representing the frontier. Moreover, this method is by nature adaptive : it is easy to control the number of B-spline used to represent the frontier, which makes it possible to improve progressively the result of the segmentation. Aprioriknowledge can easily be taken into account if provided under the form of a CAD model of the object to segment. Some topological problems may appear : surfaces topologically equivalent to spheres may have to be transformed into more complex topology surfaces (torus for instance). We propose a method to solve that problem.