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Geometrical Models for Substitutions [PDF]

Experimental Mathematics, 2011
International audienceWe consider a substitution associated with the Arnoux-Yoccoz interval exchange transformation (IET) related to the tribonacci substitution.
Arnoux [Arnoux 88] P., Arnoux [Arnoux and Ito 01] P., Arnoux [Arnoux and Yoccoz 81] P., Dumont [Dumont and Thomas 93] J.-M., Messaoudi [Messaoudi 00] A., Rauzy [Rauzy 82] G.   +5 more
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Soft tissue structure modelling for use in orthopaedic applications and musculoskeletal biomechanics [PDF]

EURASIP Journal on Advances in Signal Processing, 2010
We present our methodology for the three-dimensional anatomical and geometrical description of soft tissues, relevant for orthopaedic surgical applications and musculoskeletal biomechanics.
Audenaert, Emmanuel, MAHIEU, PETER, Pattyn, Christophe, Van Hoof, Tom   +3 more
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Geometric Modeling and Processing [PDF]

IEEE Computer Graphics and Applications, 2021
The papers in this special section focus on geometric modeling and processing. The modeling and processing of geometric data are fundamental to many computer applications, including computer graphics, computer vision, CAD/CAM, medical imaging, engineering analysis, robotics, additive manufacturing, and scientific computing.
Ligang Liu, Scott Schaefer
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Geometric models of matter [PDF]

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2012
Inspired by soliton models, we propose a description of static particles in terms of Riemannian 4-manifolds with self-dual Weyl tensor. For electrically charged particles, the 4-manifolds are non-compact and asymptotically fibred by circles over physical 3-space. This is akin to the Kaluza–Klein description of electromagnetism, except that
Atiyah, M. F., Manton, N. S., Schroers, B. J.   +2 more
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Generalized string compactifications with spontaneously broken supersymmetry [PDF]

, 1996
The Narain lattice construction of string compactifications is generalized to include spontaneously broken supersymmetry. Consistency conditions from modular invariance and Lorentz symmetry are solved in full generality.
Antoniadis, Antoniadis, Antoniadis, Antoniadis, Banks, Benakli, Dienes, Dienes, Erler, Erler, Ferrara, Giveon, Hans-Peter Nilles, Kawai, Kounnas, Kounnas, Lerche, Michał Spaliński, Narain, Narain, Rohm, Scherk, Scherk, Sen, Spaliński, Vafa   +25 more
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A quintessentially geometric model [PDF]

Journal of Cosmology and Astroparticle Physics, 2006
11 pages, 3 figures.
Gumjudpai, Burin, Naskar, Tapan, Ward, John   +2 more
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Geometrical Models of the Phase Space Structures Governing Reaction Dynamics [PDF]

, 2009
Hamiltonian dynamical systems possessing equilibria of ${saddle} \times {centre} \times...\times {centre}$ stability type display \emph{reaction-type dynamics} for energies close to the energy of such equilibria; entrance and exit from certain regions of
A. Deprit, A. Dragt, A. F. Voter, B. C. Garrett, B. Eckhardt, B. H. Mahan, C. Jaffé, C. Jaffé, E. Pollak, E. Pollak, E. Pollak, E. Pollak, G. Jacucci, H. Waalkens, H. Waalkens, H. Waalkens, H. Waalkens, H. Waalkens, H. Waalkens, H. Waalkens, H. Waalkens, J. E. Marsden, J. Murdock, K. J. Laidler, K. Meyer, K. Meyer, K. Meyer, M. S. Child, P. Pechukas, P. Pechukas, P. Pechukas, P. Pechukas, P. Pechukas, R. S. MacKay, R. Schubert, S. Wiggins, S. Wiggins, S. Wiggins, T. Komatsuzaki, T. Uzer, V. Guillemin, V. I. Arnold, V. I. Arnol’d, W. H. Miller   +43 more
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The Geometric Block Model

Proceedings of the AAAI Conference on Artificial Intelligence, 2018
To capture the inherent geometric features of many community detection problems, we propose to use a new random graph model of communities that we call a Geometric Block Model. The geometric block model generalizes the random geometric graphs in the same way that the well-studied stochastic block model generalizes the Erdös-Renyi random
Sainyam Galhotra, Arya Mazumdar, Soumyabrata Pal, Barna Saha   +3 more
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Generalized Action Principle and Superfield Equations of Motion for d=10 D-p-branes [PDF]

, 1997
The action for the D=10 type II Dirichlet super-p-branes, which has been obtained recently, is reconstructed in a more geometrical form involving Lorentz harmonic variables.
Aganagic, Aharony, Aoyama, Auria, Bandos, Bandos, Bandos, Bandos, Bandos, Bandos, Bandos, Bandos, Bandos, Bandos, Bandos, Bandos, Bergshoeff, Bergshoeff, Bergshoeff, Berkovits, Berkovits, Berkovits, Berkovits, Berkovits, Berkovits, Berkovits, Castellani, Cederwall, Cederwall, Cederwall, Cederwall, Chikalov, Delduc, Delduc, Delduc, Dmitri P Sorokin, Galperin, Galperin, Galperin, Galperin, Galperin, Galperin, Galperin, Green, Howe, Howe, Howe, Howe, Igor A Bandos, Ivanov, Mario Tonin, Neeman, Neeman, Pashnev, Pasti, Pasti, Perry, Polyakov, Schwarz, Sezgin, Sokatchev, Sokatchev, Sorokin, Sorokin, Sorokin, Tonin, Tonin, Townsend, Volkov, Volkov, Volkov, Volkov, Volkov, Volkov, Volkov   +74 more
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Hypergraph modelling for geometric model fitting [PDF]

Pattern Recognition, 2016
In this paper, we propose a novel hypergraph based method (called HF) to fit and segment multi-structural data. The proposed HF formulates the geometric model fitting problem as a hypergraph partition problem based on a novel hypergraph model. In the hypergraph model, vertices represent data points and hyperedges denote model hypotheses. The hypergraph,
Guobao Xiao, Hanzi Wang, Taotao Lai, David Suter   +3 more
openaire   +3 more sources