🍩 Database of Original & Non-Theoretical Uses of Topology

1. Optimal Topological Cycles and Their Application in Cardiac Trabeculae Restoration (2017)

   Pengxiang Wu, Chao Chen, Yusu Wang, Shaoting Zhang, Changhe Yuan, Zhen Qian, Dimitris Metaxas, Leon Axel

   Abstract

   In cardiac image analysis, it is important yet challenging to reconstruct the trabeculae, namely, fine muscle columns whose ends are attached to the ventricular walls. To extract these fine structures, traditional image segmentation methods are insufficient. In this paper, we propose a novel method to jointly detect salient topological handles and compute the optimal representations of them. The detected handles are considered hypothetical trabeculae structures. They are further screened using a classifier and are then included in the final segmentation. We show in experiments the significance of our contribution compared with previous standard segmentation methods without topological priors, as well as with previous topological method in which non-optimal representations of topological handles are used.

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   • Cardiac segmentation
   • Cardiology
   • Medicine
   • Trabeculae
   • Innovate
   • Homology localization
   • Persistent homology