Omnidirectional displacements for deformable surfaces

摘要: Deformable surface models are often represented as triangular meshes in image segmentation applications. For a fast and easily regularized deformation onto the target object boundary, vertices of mesh commonly moved along line segments (typically normals). However, case high curvature, these lines may not intersect with boundary at all. Consequently, certain deformations cannot be achieved. We propose omnidirectional displacements for deformable surfaces (ODDS) to overcome this limitation. ODDS allow each vertex move only segment but within volumetric inside surrounding sphere, achieve globally optimal subject local regularization constraints. allowing ball-shaped instead linear range motion per significantly increases runtime memory. To alleviate drawback, we hybrid approach, fastODDS, improved reduced memory requirements. Furthermore, fastODDS can also cope simultaneous multiple objects. show theoretical benefits experiments on synthetic data, evaluate quantitatively clinical data mandible hip bones. There, assess both global accuracy well curvature regions, such tip-shaped mandibular coronoid processes ridge-shaped acetabular rims