Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Madjid Allili"'
Publikováno v:
Fluids, Vol 9, Iss 11, p 262 (2024)
A growing number of scholars are drawn to using numerical approaches powered by computer simulations as a potential solution to industrial problems. Replicating the compaction process in powder metallurgy with accuracy is one such issue. The Drucker-
Externí odkaz:
https://doaj.org/article/c5b66640a7f945f6913c41a105d78ac1
Publikováno v:
Journal of Symbolic Computation. 78:61-75
The Discrete Morse Theory of Forman appeared to be useful for providing filtration-preserving reductions of complexes in the study of persistent homology. So far, the algorithms computing discrete Morse matchings have only been used for one-dimension
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2eb6e7b6974c1a1b6a1acc4c6dc7b24
https://doi.org/10.1016/j.jsc.2015.11.020
https://doi.org/10.1016/j.jsc.2015.11.020
Given a simplicial complex and a vector-valued function on its vertices, we present an algorithmic construction of an acyclic partial matching on the cells of the complex compatible with the given function. This implies the construction can be used t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5121e6fcd448b584997c5ef768e106ed
https://hdl.handle.net/11380/1165089
https://hdl.handle.net/11380/1165089
Autor:
Madjid Allili, David Corriveau
Publikováno v:
Advances in Pure Mathematics. :113-137
In this paper, we propose a new algorithm to compute the homology of a finitely generated chain complex. Our method is based on grouping several reductions into structures that can be encoded as directed acyclic graphs. The organized reduction pairs
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09f901fb054dad4b8d9901f03271b968
https://doi.org/10.4236/apm.2016.63010
https://doi.org/10.4236/apm.2016.63010
Publikováno v:
Discrete Geometry for Computer Imagery ISBN: 9783319662718
DGCI
DGCI
Given a simplicial complex and a vector-valued function on its vertices, we present an algorithmic construction of an acyclic partial matching on the cells of the complex. This construction is used to build a reduced filtered complex with the same mu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13cd85cf02a081fc89667e157ad0d3a5
https://hdl.handle.net/11380/1145054
https://hdl.handle.net/11380/1145054
Publikováno v:
Computers & Mathematics with Applications. 61:499-512
We propose a new approach, based on the Conley index theory, for the detection and classification of critical regions in multidimensional data sets. The use of homology groups makes this method consistent and successful in all dimensions and allows u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9d35a83c39e8410c2035968ef96fe33
https://doi.org/10.1016/j.camwa.2010.11.029
https://doi.org/10.1016/j.camwa.2010.11.029
Publikováno v:
Journal of Mathematical Imaging and Vision. 28:99-111
We define a new mathematical model for the topological study of lattice height data. A discrete multivalued dynamical system framework is used to establish discrete analogies of a Morse function, its gradient field, and its stable and unstable manifo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cfe0a89d370df4fc537bf61d9fdb8194
https://doi.org/10.1007/s10851-007-0010-0
https://doi.org/10.1007/s10851-007-0010-0
Autor:
David Corriveau, Madjid Allili
Publikováno v:
Computer Vision and Image Understanding. 105:188-199
In this paper, we propose a novel method for shape analysis that is suitable for any multi-dimensional data set that can be modelled as a manifold. The descriptor is obtained for any pair (M,@f), where M is a closed smooth manifold and @f is a Morse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03402b2173ece255caefcf703e83c2dd
https://doi.org/10.1016/j.cviu.2006.10.004
https://doi.org/10.1016/j.cviu.2006.10.004
Autor:
Djemel Ziou, Madjid Allili
Publikováno v:
Pattern Recognition. 35:2833-2839
A number of tasks in image processing and computer vision require the computation of certain topological characteristics of objects in a given image. In this paper, we introduce a new method based on the notion of the algebraic topology complex to co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e4cd475b4b326e0a7c1303653e97884
https://doi.org/10.1016/s0031-3203(01)00238-2
https://doi.org/10.1016/s0031-3203(01)00238-2
Autor:
Tomasz Kaczynski, Madjid Allili
Publikováno v:
Discrete & Computational Geometry. 25:125-140
A new method of computing the homomorphism induced by a continuous map in homology presented in [1] and [2] relies on computing coboundaries of cycles. This paper is devoted to a precise geometric construction of a coboundary of a given cycle in a pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08ad26a14e3e878e239be42e6f0482d7
https://doi.org/10.1007/s004540010072
https://doi.org/10.1007/s004540010072