Optimal Net Surface Problems with Applications
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
Optimal Surface Segmentation in Volumetric Images-A Graph-Theoretic Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Simultaneous segmentation of multiple closed surfaces using optimal graph searching
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Optimal graph based segmentation using flow lines with application to airway wall segmentation
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
Avoiding mesh folding in 3D optimal surface segmentation
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
Lung tumor segmentation using electric flow lines for graph cuts
ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part II
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In this paper, we present a novel graph construction method and demonstrate its usage in a broad range of applications starting from a relatively simple single-surface segmentation and ranging to very complex multi-surface multi-object graph based image segmentation. Inspired by the properties of electric field direction lines, the proposed method for graph construction is inherently applicable to n-D problems. In general, the electric field direction lines are used for graph "column" construction. As such, our method is robust with respect to the initial surface shape and the graph structure is easy to compute. When applied to cross-surface mapping, our approach can generate one-to-one and every-to-every vertex correspondent pairs between the regions of mutual interaction, which is a substantially better solution compared with other surface mapping techniques currently used for multi-object graph-based image segmentation.