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» Homotopy in Digital Spaces
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CIKM
2004
Springer
14 years 26 days ago
A design space approach to analysis of information retrieval adaptive filtering systems
In this paper we suggest a new approach to analysis and design of IR systems. We argue for design space exploration in constructing IR systems and in analyzing the effects of ind...
Dmitriy Fradkin, Paul B. Kantor
ACS
2007
13 years 7 months ago
Directed Algebraic Topology, Categories and Higher Categories
Directed Algebraic Topology is a recent field, deeply linked with Category Theory. A ‘directed space’ has directed homotopies (generally non reversible), directed homology gro...
Marco Grandis
JDCTA
2010
272views more  JDCTA 2010»
13 years 2 months ago
Optimal Control of Nonlinear Systems Using the Homotopy Perturbation Method: Infinite Horizon Case
This paper presents a new method for solving a class of infinite horizon nonlinear optimal control problems. In this method, first the original optimal control problem is transfor...
Amin Jajarmi, Hamidreza Ramezanpour, Arman Sargolz...
VISUALIZATION
2005
IEEE
14 years 1 months ago
Topology-driven Surface Mappings with Robust Feature Alignment
Topological concepts and techniques have been broadly applied in computer graphics and geometric modeling. However, the homotopy type of a mapping between two surfaces has not bee...
Christopher Carner, Miao Jin, Xianfeng Gu, Hong Qi...
HYBRID
2005
Springer
14 years 1 months ago
A Homology Theory for Hybrid Systems: Hybrid Homology
By transferring the theory of hybrid systems to a categorical framework, it is possible to develop a homology theory for hybrid systems: hybrid homology. This is achieved by consid...
Aaron D. Ames, Shankar Sastry