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» On Equations over Sets of Integers
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ICPR
2008
IEEE
14 years 8 months ago
Nonlocal morphological levelings by partial difference equations over weighted graphs
In this paper, a novel approach to Mathematical Morphology operations is proposed. Morphological operators based on partial differential equations (PDEs) are extended to weighted ...
Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezora...
ECCV
2008
Springer
14 years 9 months ago
Partial Difference Equations over Graphs: Morphological Processing of Arbitrary Discrete Data
Abstract. Mathematical Morphology (MM) offers a wide range of operators to address various image processing problems. These processing can be defined in terms of algebraic set or a...
Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezora...
FOCS
2002
IEEE
14 years 12 days ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
FSS
2010
98views more  FSS 2010»
13 years 6 months ago
On the distributivity of fuzzy implications over representable uninorms
Recently, many works have appeared dealing with the distributivity of fuzzy implications over t-norms, tconorms and uninorms (see [2, 3, 4, 5, 12, 13, 14]). These equations have a...
Michal Baczynski
CIE
2009
Springer
14 years 2 months ago
Decidability of Sub-theories of Polynomials over a Finite Field
Abstract. Let Fq be a finite field with q elements. We produce an (effective) elimination of quantifiers for the structure of the set of polynomials, Fq[t], of one variable, in...
Alla Sirokofskich