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» A synthetic axiomatization of Map Theory
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JMIV
1998
93views more  JMIV 1998»
15 years 11 days ago
Connectivity on Complete Lattices
Classically, connectivity is a topological notion for sets, often introduced by means of arcs. A non topological axiomatics has been proposed by Matheron and Serra. The present pa...
Jean Serra
TSP
2008
180views more  TSP 2008»
15 years 17 days ago
Algebraic Signal Processing Theory: Foundation and 1-D Time
This paper introduces a general and axiomatic approach to linear signal processing (SP) that we refer to as the algebraic signal processing theory (ASP). Basic to ASP is the linear...
Markus Püschel, José M. F. Moura
ENTCS
2006
125views more  ENTCS 2006»
15 years 21 days ago
Formalizing Type Operations Using the "Image" Type Constructor
In this paper we introduce a new approach to formalizing certain type operations in type theory. Traditionally, many type constructors in type theory are independently axiomatized...
Aleksey Nogin, Alexei Kopylov
ER
2007
Springer
130views Database» more  ER 2007»
15 years 6 months ago
Towards Automated Reasoning on ORM Schemes
The goal of this article is to formalize Object Role Modeling (ORM) using the DLR description logic. This would enable automated reasoning on the formal properties of ORM diagrams,...
Mustafa Jarrar
141
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VISAPP
2010
14 years 10 months ago
Inverse Problems in Imaging and Computer Vision - From Regularization Theory to Bayesian Inference
phies are also mentioned and a common mathematical abstraction for all these inverses problems will be presented. By focusing on a simple linear forward model, first a synthetic an...
Ali Mohammad-Djafari