Finite-Element Methods for active contour models and balloons for 2-D and 3-D images
|dc.contributor.author||Cohen, Laurent D.
HAL ID: 738939
|dc.title||Finite-Element Methods for active contour models and balloons for 2-D and 3-D images||en|
|dc.type||Article accepté pour publication ou publié|
|dc.description.abstracten||The use of energy-minimizing curves, known as "snakes" to extract features of interest in images has been introduced by Kass, Witkin and Terzopoulos (1987). A balloon model was introduced by Cohen (1991) as a way to generalize and solve some of the problems encountered with the original method. A 3-D generalization of the balloon model as a 3-D deformable surface, which evolves in 3-D images, is presented. It is deformed under the action of internal and external forces attracting the surface toward detected edgels by means of an attraction potential. We also show properties of energy-minimizing surfaces concerning their relationship with 3-D edge points. To solve the minimization problem for a surface, two simplified approaches are shown first, defining a 3-D surface as a series of 2-D planar curves. Then, after comparing finite-element method and finite-difference method in the 2-D problem, we solve the 3-D model using the finite-element method yielding greater stability and faster convergence. This model is applied for segmenting magnetic resonance images.||en|
|dc.relation.isversionofjnlname||IEEE Transactions on Pattern Analysis and Machine Intelligence|
|dc.relation.isversionofjnlpublisher||IEEE Computer Society||en|
|dc.subject.ddclabel||Traitement du signal||en|
Files in this item
There are no files associated with this item.