Global Minimum for Active Contour Models: A Minimal Path Approach
International Journal of Computer Vision
Muliscale Vessel Enhancement Filtering
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
Fast Extraction of Tubular and Tree 3D Surfaces with Front Propagation Methods
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 1 - Volume 1
Algorithm Design
Graph Cuts and Efficient N-D Image Segmentation
International Journal of Computer Vision
Accurate anisotropic fast marching for diffusion-based geodesic tractography
Journal of Biomedical Imaging - Recent Advances in Neuroimaging Methodology
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Fast Object Segmentation by Growing Minimal Paths from a Single Point on 2D or 3D Images
Journal of Mathematical Imaging and Vision
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Tubular Structure Segmentation Based on Minimal Path Method and Anisotropic Enhancement
International Journal of Computer Vision
Detecting Curves with Unknown Endpoints and Arbitrary Topology Using Minimal Paths
IEEE Transactions on Pattern Analysis and Machine Intelligence
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In this paper, we propose a novel framework which extends the classical minimal path methods. Usually, minimal path methods can be interpreted as the simulation of the outward propagation of a wavefront emanating from a specific start point at a certain speed derived from an image. In previous methods, either a static speed is computed before the wavefront starts to propagate, or the normal of the wavefront is used to update the speed dynamically. We generalize the latter methods by introducing more general dynamic speed functions: During the outward propagation of the wavefront, features of the region already visited by the wavefront are used to update the speed dynamically. Our framework can incorporate both the fast marching method and Dijkstra's algorithm. We prove that the global optimum can be found using our approach and demonstrate its advantage experimentally by applying it for segmentation of tubular structures in synthetic and real images.