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balloon models

A balloon model is a deformable active contour or surface model used in computer vision and image processing to detect and segment object boundaries within two-dimensional and three-dimensional images. Extending classical active contour techniques, it incorporates an internal inflation or deflation force that exerts continuous directional pressure on the curve or mesh, pushing it outward or inward like a balloon. This added force acts alongside internal smoothing constraints and external image-based attraction forces, guiding the model toward true target edges while allowing it to bypass weak noise and spurious image gradients. Consequently, balloon models improve the robustness and automation of boundary extraction by reducing sensitivity to initial contour placement and preventing the boundary from becoming trapped in irrelevant local energy minima.

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Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images

Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images

L. Cohen, I. Cohen

OrganizationsCEREMADEINRIAParis Dauphine University

Why you should read this

Presents a three-dimensional generalization of the balloon deformable surface model and implements a finite element framework that achieves faster convergence and superior numerical stability for volumetric medical image segmentation.

The use of energy-minimizing curves, known as "snakes" to extract features of interest in images has been introduced by Kass, Witkin and Terzopoulos [23]. A balloon model was introduced in [12] as a way to generalize and solve some of the problems encountered with the original method. We present a 3D generalization of the balloon model as a 3D deformable surface, which evolves in 3D images. 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 3D edge points. To solve the minimization problem for a surface, two simplified approaches are shown first, defining a 3D surface as a series of 2D planar curves. Then, after comparing Finite Element Method and Finite Difference Method in the 2D problem, we solve the 3D model using the Finite Element Method yielding greater stability and faster convergence. We have applied this model for segmenting magnetic resonance images.

Added

2026-09-24