Relevant bibliographies by topics / Riemannian and barycentric geometry

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Riemannian and barycentric geometry'

Author: Grafiati
Published: 13 February 2024

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Journal articles on the topic "Riemannian and barycentric geometry"

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Pihajoki, Pauli, Matias Mannerkoski, and Peter H. Johansson. "Barycentric interpolation on Riemannian and semi-Riemannian spaces." Monthly Notices of the Royal Astronomical Society 489, no. 3 (2019): 4161–69. http://dx.doi.org/10.1093/mnras/stz2447.

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ABSTRACT Interpolation of data represented in curvilinear coordinates and possibly having some non-trivial, typically Riemannian or semi-Riemannian geometry is a ubiquitous task in all of physics. In this work, we present a covariant generalization of the barycentric coordinates and the barycentric interpolation method for Riemannian and semi-Riemannian spaces of arbitrary dimension. We show that our new method preserves the linear accuracy property of barycentric interpolation in a coordinate-invariant sense. In addition, we show how the method can be used to interpolate constrained quantitie
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Miranda Jr., Gastão F., Gilson Giraldi, Carlos E. Thomaz, and Daniel Millàn. "Composition of Local Normal Coordinates and Polyhedral Geometry in Riemannian Manifold Learning." International Journal of Natural Computing Research 5, no. 2 (2015): 37–68. http://dx.doi.org/10.4018/ijncr.2015040103.

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The Local Riemannian Manifold Learning (LRML) recovers the manifold topology and geometry behind database samples through normal coordinate neighborhoods computed by the exponential map. Besides, LRML uses barycentric coordinates to go from the parameter space to the Riemannian manifold in order to perform the manifold synthesis. Despite of the advantages of LRML, the obtained parameterization cannot be used as a representational space without ambiguities. Besides, the synthesis process needs a simplicial decomposition of the lower dimensional domain to be efficiently performed, which is not c
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Sabatini, Luca. "Volume Comparison in the presence of a Gromov-Hausdorff ε−approximation II". Annals of West University of Timisoara - Mathematics and Computer Science 56, № 1 (2018): 99–135. http://dx.doi.org/10.2478/awutm-2018-0008.

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Abstract Let (M, g) be any compact, connected, Riemannian manifold of dimension n. We use a transport of measures and the barycentre to construct a map from (M, g) onto a Hyperbolic manifold (ℍn/Λ, g0) (Λ is a torsionless subgroup of Isom(ℍn,g0)), in such a way that its jacobian is sharply bounded from above. We make no assumptions on the topology of (M, g) and on its curvature and geometry, but we only assume the existence of a measurable Gromov-Hausdorff ε-approximation between (ℍn/Λ, g0) and (M, g). When the Hausdorff approximation is continuous with non vanishing degree, this leads to a sh
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Wu, H., and Wilhelm Klingenberg. "Riemannian Geometry." American Mathematical Monthly 92, no. 7 (1985): 519. http://dx.doi.org/10.2307/2322529.

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Lord, Nick, M. P. do Carmo, S. Gallot, et al. "Riemannian Geometry." Mathematical Gazette 79, no. 486 (1995): 623. http://dx.doi.org/10.2307/3618122.

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Mrugała, R. "Riemannian geometry." Reports on Mathematical Physics 27, no. 2 (1989): 283–85. http://dx.doi.org/10.1016/0034-4877(89)90011-6.

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M.Osman, Mohamed. "Differentiable Riemannian Geometry." International Journal of Mathematics Trends and Technology 29, no. 1 (2016): 45–55. http://dx.doi.org/10.14445/22315373/ijmtt-v29p508.

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Dimakis, Aristophanes, and Folkert Müller-Hoissen. "Discrete Riemannian geometry." Journal of Mathematical Physics 40, no. 3 (1999): 1518–48. http://dx.doi.org/10.1063/1.532819.

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Beggs, Edwin J., and Shahn Majid. "Poisson–Riemannian geometry." Journal of Geometry and Physics 114 (April 2017): 450–91. http://dx.doi.org/10.1016/j.geomphys.2016.12.012.

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Strichartz, Robert S. "Sub-Riemannian geometry." Journal of Differential Geometry 24, no. 2 (1986): 221–63. http://dx.doi.org/10.4310/jdg/1214440436.

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Dissertations / Theses on the topic "Riemannian and barycentric geometry"

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Farina, Sofia. "Barycentric Subspace Analysis on the Sphere and Image Manifolds." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/15797/.

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In this dissertation we present a generalization of Principal Component Analysis (PCA) to Riemannian manifolds called Barycentric Subspace Analysis and show some applications. The notion of barycentric subspaces has been first introduced first by X. Pennec. Since they lead to hierarchy of properly embedded linear subspaces of increasing dimension, they define a generalization of PCA on manifolds called Barycentric Subspace Analysis (BSA). We present a detailed study of the method on the sphere since it can be considered as the finite dimensional projection of a set of probability densities tha
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Lord, Steven. "Riemannian non-commutative geometry /." Title page, abstract and table of contents only, 2002. http://web4.library.adelaide.edu.au/theses/09PH/09phl8661.pdf.

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Maignant, Elodie. "Plongements barycentriques pour l'apprentissage géométrique de variétés : application aux formes et graphes." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4096.

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Une image obtenue par IRM, c'est plus de 60 000 pixels. La plus grosse protéine connue chez l'être humain est constituée d'environ 30 000 acides aminés. On parle de données en grande dimension. En réalité, la plupart des données en grande dimension ne le sont qu'en apparence. Par exemple, de toutes les images que l'on pourrait générer aléatoirement en coloriant 256 x 256 pixels, seule une infime proportion ressemblerait à l'image IRM d'un cerveau humain. C'est ce qu'on appelle la dimension intrinsèque des données. En grande dimension, apprentissage rime donc souvent avec réduction de dimension
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Lidberg, Petter. "Barycentric and harmonic coordinates." Thesis, Uppsala universitet, Algebra och geometri, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-179487.

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Hall, Stuart James. "Numerical methods and Riemannian geometry." Thesis, Imperial College London, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.538692.

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Ferreira, Ana Cristina Castro. "Riemannian geometry with skew torsion." Thesis, University of Oxford, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.526550.

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Wu, Bao Qiang. "Geometry of complete Riemannian Submanifolds." Lyon 1, 1998. http://www.theses.fr/1998LYO10064.

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La géométrie rienmannienne des sous-variétés a connu ces cinquante dernières années un essor considérable, essentiellement dans le cas compact. Cette thèse a pour but de développer des outils consacrés à l'étude des sous-variétés riemanniennes complètes. Ces outils sont proches de ceux développés par Bochner et Lichnérowicz. Ils sont particulièrement adaptés aux problèmes de rigidité de certains types de sous-variétés complètes : celles qui sont à courbure moyenne constante dans un espace hyperbolique. Il est ainsi possible d'obtenir un théorème de classification de ces sous-variétés. D'autres
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Boarotto, Francesco. "Topics in sub-Riemannian geometry." Doctoral thesis, SISSA, 2016. http://hdl.handle.net/20.500.11767/4881.

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This thesis is concerned with three different problems in sub-Riemannian geometry faced during my PhD. The first one is a problem in differential geometry and is about the local conformal classification of a certain class of sub-Riemannian structures. In the second one we deal with topology, and our main result establish some path-fibration properties for the Endpoint map. In the third and last problem, we begin the development of some variational calculus around critical points of the endpoint map, called abnormal controls, and we estabilish a counterpart of the classical Morse deformation te
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Palmer, Ian Christian. "Riemannian geometry of compact metric spaces." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/34744.

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A construction is given for which the Hausdorff measure and dimension of an arbitrary abstract compact metric space (X, d) can be encoded in a spectral triple. By introducing the concept of resolving sequence of open covers, conditions are given under which the topology, metric, and Hausdorff measure can be recovered from a spectral triple dependent on such a sequence. The construction holds for arbitrary compact metric spaces, generalizing previous results for fractals, as well as the original setting of manifolds, and also holds when Hausdorff and box dimensions differ---in particular, it does n
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Raineri, Emanuele. "Quantum Riemannian geometry of finite sets." Thesis, Queen Mary, University of London, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.414738.

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Books on the topic "Riemannian and barycentric geometry"

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Gallot, Sylvestre, Dominique Hulin, and Jacques Lafontaine. Riemannian Geometry. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-97242-3.

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Petersen, Peter. Riemannian Geometry. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4757-6434-5.

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Carmo, Manfredo Perdigão do. Riemannian Geometry. Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-1-4757-2201-7.

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Gallot, Sylvestre, Dominique Hulin, and Jacques Lafontaine. Riemannian Geometry. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18855-8.

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Petersen, Peter. Riemannian Geometry. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-26654-1.

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Gallot, Sylvestre, Dominique Hulin, and Jacques Lafontaine. Riemannian Geometry. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-97026-9.

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1959-, Hulin D., and Lafontaine, J. 1944 Mar. 10-, eds. Riemannian geometry. Springer-Verlag, 1987.

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Sakai, T. Riemannian geometry. American Mathematical Society, 1996.

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Riemannian geometry. 2nd ed. W. de Gruyter, 1995.

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Carmo, Manfredo Perdigão do. Riemannian geometry. Birkhäuser, 1992.

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Book chapters on the topic "Riemannian and barycentric geometry"

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Bambi, Cosimo. "Riemannian Geometry." In Introduction to General Relativity. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1090-4_5.

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Conlon, Lawrence. "Riemannian Geometry." In Differentiable Manifolds. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4757-2284-0_10.

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Aubin, Thierry. "Riemannian Geometry." In Some Nonlinear Problems in Riemannian Geometry. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-13006-3_1.

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Kumaresan, S. "Riemannian Geometry." In A Course in Differential Geometry and Lie Groups. Hindustan Book Agency, 2002. http://dx.doi.org/10.1007/978-93-86279-08-8_5.

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Gadea, P. M., and J. Muñoz Masqué. "Riemannian Geometry." In Analysis and Algebra on Differentiable Manifolds. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3564-6_6.

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Koch, Helmut. "Riemannian geometry." In Introduction to Classical Mathematics I. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3218-3_14.

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McInerney, Andrew. "Riemannian Geometry." In Undergraduate Texts in Mathematics. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7732-7_5.

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Chow, Bennett, Peng Lu, and Lei Ni. "Riemannian geometry." In Hamilton’s Ricci Flow. American Mathematical Society, 2006. http://dx.doi.org/10.1090/gsm/077/01.

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Gadea, Pedro M., Jaime Muñoz Masqué, and Ihor V. Mykytyuk. "Riemannian Geometry." In Analysis and Algebra on Differentiable Manifolds. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5952-7_6.

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Hassani, Sadri. "Riemannian Geometry." In Mathematical Physics. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01195-0_37.

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Conference papers on the topic "Riemannian and barycentric geometry"

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Moran, William, Stephen D. Howard, Douglas Cochran, and Sofia Suvorova. "Sensor management via riemannian geometry." In 2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE, 2012. http://dx.doi.org/10.1109/allerton.2012.6483240.

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Hadwiger, Markus, Thomas Theußl, and Peter Rautek. "Riemannian Geometry for Scientific Visualization." In SA '22: SIGGRAPH Asia 2022. ACM, 2022. http://dx.doi.org/10.1145/3550495.3558227.

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GMIRA, B., and L. VERSTRAELEN. "A CURVATURE INEQUALITY FOR RIEMANNIAN SUBMANIFOLDS IN A SEMI–RIEMANNIAN SPACE FORM." In Geometry and Topology of Submanifolds IX. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789812817976_0016.

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Lenz, Reiner, Rika Mochizuki, and Jinhui Chao. "Iwasawa Decomposition and Computational Riemannian Geometry." In 2010 20th International Conference on Pattern Recognition (ICPR). IEEE, 2010. http://dx.doi.org/10.1109/icpr.2010.1086.

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Bejancu, Aurel. "Sub-Riemannian geometry and nonholonomic mechanics." In ALEXANDRU MYLLER MATHEMATICAL SEMINAR CENTENNIAL CONFERENCE. AIP, 2011. http://dx.doi.org/10.1063/1.3546072.

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Chen, Guohua. "Digital Riemannian Geometry and Its Application." In International Conference on Advances in Computer Science and Engineering. Atlantis Press, 2013. http://dx.doi.org/10.2991/cse.2013.63.

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Barachant, Alexandre, Stphane Bon, Marco Congedo, and Christian Jutten. "Common Spatial Pattern revisited by Riemannian geometry." In 2010 IEEE 12th International Workshop on Multimedia Signal Processing (MMSP). IEEE, 2010. http://dx.doi.org/10.1109/mmsp.2010.5662067.

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Zeestraten, Martijn J. A., Ioannis Havoutis, Sylvain Calinon, and Darwin G. Caldwell. "Learning task-space synergies using Riemannian geometry." In 2017 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2017. http://dx.doi.org/10.1109/iros.2017.8202140.

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Shao, Hang, Abhishek Kumar, and P. Thomas Fletcher. "The Riemannian Geometry of Deep Generative Models." In 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW). IEEE, 2018. http://dx.doi.org/10.1109/cvprw.2018.00071.

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Gordina, Maria. "Riemannian geometry of Diff(S1)/S1 revisited." In Proceedings of a Satellite Conference of ICM 2006. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812791559_0002.

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