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» Cech Type Approach to Computing Homology of Maps
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DCG
2010
97views more  DCG 2010»
13 years 3 months ago
Cech Type Approach to Computing Homology of Maps
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...
Marian Mrozek
CAIP
2007
Springer
170views Image Analysis» more  CAIP 2007»
13 years 8 months ago
Image Segmentation Using Topological Persistence
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...
David Letscher, Jason Fritts
ICRA
2010
IEEE
149views Robotics» more  ICRA 2010»
13 years 3 months ago
Towards simplicial coverage repair for mobile robot teams
— 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...
Jason C. Derenick, Vijay Kumar, Ali Jadbabaie
BMCBI
2006
103views more  BMCBI 2006»
13 years 4 months ago
Statistical inference of chromosomal homology based on gene colinearity and applications to Arabidopsis and rice
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...
VIS
2006
IEEE
128views Visualization» more  VIS 2006»
14 years 6 months ago
Hierarchy-based 3-D Visualization of Homologous Gene Expression across Different Organisms
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...