A new approach to algorithmic computation of the homology of spaces and maps is presented. The key point of the approach is a change in the representation of sets. The proposed rep...
Abstract. This paper presents a new hybrid split-and-merge image segmentation method based on computational geometry and topology using persistent homology. The algorithm uses edge...
— In this note, we present initial results towards developing a distributed algorithm for repairing topological holes in the sensor cover of a mobile robot team. Central to our a...
Background: The identification of chromosomal homology will shed light on such mysteries of genome evolution as DNA duplication, rearrangement and loss. Several approaches have be...
Xiyin Wang, Xiaoli Shi, Zhe Li, Qihui Zhu, Lei Kon...
With the explosive growth of proteomic and expression data of homologous genes, it becomes necessary to explore new methods to visualize and analyze related gene expression data t...
Li Jin, Karl V. Steiner, Carl J. Schmidt, Keith...