Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
The Complexity of Multiterminal Cuts
SIAM Journal on Computing
An improved approximation algorithm for multiway cut
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Rounding algorithms for a geometric embedding of minimum multiway cut
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Information Retrieval
Tensor Controlled Local Structure Enhancement of CT Images for Bone Segmentation
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
An Experimental Comparison of Min-Cut/Max-Flow Algorithms for Energy Minimization in Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part III
CT image segmentation using structural analysis
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part III
Graph-Cut Energy Minimization for Object Extraction in MRCP Medical Images
Journal of Medical Systems
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We present a fast, interactive method for separating bones that have been collectively segmented from a CT volume. Given user-provided seed points, the method computes the separation as a multi-way cut on a weighted graph constructed from the binary, segmented volume. By properly designing and weighting the graph, we show that the resulting cut can accurately be placed at bone-interfaces using only a small number of seed points even when the data is noisy. The method has been implemented with an interactive graphical interface, and used to separate the 12 human foot bones in 10 CT volumes. The interactive tool produced compatible result with a ground-truth separation, generated by a completely manual labelling procedure, while reducing the human interaction time from a mean of 2.4 hours per volume in manual labelling down to approximately 18 minutes.