Finite-Element Methods for active contour models and balloons for 2-D and 3-D images
Cohen, Laurent D.; Cohen, Isaac (1993), Finite-Element Methods for active contour models and balloons for 2-D and 3-D images, IEEE Transactions on Pattern Analysis and Machine Intelligence, 15, 11, p. 1137-1147. 10.1109/34.244675
TypeArticle accepté pour publication ou publié
Journal nameIEEE Transactions on Pattern Analysis and Machine Intelligence
MetadataShow full item record
Abstract (EN)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.
Subjects / Keywordsballoon model
Showing items related by title and author.
Chen, Da; Spencer, Jack; Mirebeau, Jean-Marie; Chen, Ke; Shu, Minglei; Cohen, Laurent D. (2021) Article accepté pour publication ou publié
New Elastica Geodesic Approach with Convexity Shape Prior for Region-based Active Contours and Image Segmentation Chen, Da; Mirebeau, Jean-Marie; Tai, Xue-Cheng; Cohen, Laurent D. (2021) Document de travail / Working paper