Journal of Mathematical Imaging and Vision - Special issue on mathematical imaging
Spatial models for fuzzy clustering
Computer Vision and Image Understanding
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
Detecting critical regions in scalar fields
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Medical Image Processing, Analysis & Visualization in Clinical Research
CBMS '01 Proceedings of the Fourteenth IEEE Symposium on Computer-Based Medical Systems
A topology preserving level set method for geometric deformable models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Topology correction of segmented medical images using a fast marching algorithm
Computer Methods and Programs in Biomedicine
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This paper presents a novel approach for object segmentation in medical images that respects the topological relationships of multiple structures as given by a template. The algorithm combines advantages of tissue classification, digital topology, and level-set evolution into a topology-invariant multiple-object fast marching method. The technique can handle any given topology and enforces object-level relationships with little constraint over the geometry. Applied to brain segmentation, it sucessfully extracts gray matter and white matter structures with the correct spherical topology without topology correction or editing of the sub-cortical structures.