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Journal articles on the topic 'Intrinsic geometry'

Author: Grafiati

Published: 10 March 2023

Last updated: 25 July 2025

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1

Cattani, Carlo, and Ettore Laserra. "Intrinsic geometry of Lax equation." Journal of Interdisciplinary Mathematics 6, no. 3 (2003): 291–99. http://dx.doi.org/10.1080/09720502.2003.10700347.

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2

Abou Zeid, M., and C. M. Hull. "Intrinsic geometry of D-branes." Physics Letters B 404, no. 3-4 (1997): 264–70. http://dx.doi.org/10.1016/s0370-2693(97)00570-4.

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3

Madore, J., S. Schraml, P. Schupp, and J. Wess. "External fields as intrinsic geometry." European Physical Journal C 18, no. 4 (2001): 785–94. http://dx.doi.org/10.1007/s100520100566.

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4

Bellucci, Stefano, and Bhupendra Nath Tiwari. "State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory." Advances in High Energy Physics 2014 (2014): 1–17. http://dx.doi.org/10.1155/2014/589031.

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We study the state-space geometry of various extremal and nonextremal black holes in string theory. From the notion of the intrinsic geometry, we offer a state-space perspective to the black hole vacuum fluctuations. For a given black hole entropy, we explicate the intrinsic geometric meaning of the statistical fluctuations, local and global stability conditions, and long range statistical correlations. We provide a set of physical motivations pertaining to the extremal and nonextremal black holes, namely, the meaning of the chemical geometry and physics of correlation. We illustrate the state

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5

Cushman, Richard, and Jędrzej Śniatycki. "Intrinsic Geometric Structure of Subcartesian Spaces." Axioms 13, no. 1 (2023): 9. http://dx.doi.org/10.3390/axioms13010009.

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Every subset S of a Cartesian space Rd, endowed with differential structure C∞(S) generated by restrictions to S of functions in C∞(Rd), has a canonical partition M(S) by manifolds, which are orbits of the family X(S) of all derivations of C∞(S) that generate local one-parameter groups of local diffeomorphisms of S. This partition satisfies the frontier condition, Whitney’s conditions A and B. If M(S) is locally finite, then it satisfies all definitions of stratification of S. This result extends to Hausdorff locally Euclidean differential spaces. The partition M(S) of a subcartesian space S b

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6

Gillespie, Mark, Nicholas Sharp, and Keenan Crane. "Integer coordinates for intrinsic geometry processing." ACM Transactions on Graphics 40, no. 6 (2021): 1–13. http://dx.doi.org/10.1145/3478513.3480522.

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This paper describes a numerically robust data structure for encoding intrinsic triangulations of polyhedral surfaces. Many applications demand a correspondence between the intrinsic triangulation and the input surface, but existing data structures either rely on floating point values to encode correspondence, or do not support remeshing operations beyond basic edge flips. We instead provide an integer-based data structure that guarantees valid correspondence, even for meshes with near-degenerate elements. Our starting point is the framework of normal coordinates from geometric topology, which

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7

Nurowski, Pawel, and David C. Robinson. "Intrinsic geometry of a null hypersurface." Classical and Quantum Gravity 17, no. 19 (2000): 4065–84. http://dx.doi.org/10.1088/0264-9381/17/19/308.

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8

Bachini, Elena, and Mario Putti. "Geometrically intrinsic modeling of shallow water flows." ESAIM: Mathematical Modelling and Numerical Analysis 54, no. 6 (2020): 2125–57. http://dx.doi.org/10.1051/m2an/2020031.

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Shallow water models of geophysical flows must be adapted to geometric characteristics in the presence of a general bottom topography with non-negligible slopes and curvatures, such as a mountain landscape. In this paper we derive an intrinsic shallow water model from the Navier–Stokes equations defined on a local reference frame anchored on the bottom surface. The equations resulting are characterized by non-autonomous flux functions and source terms embodying only the geometric information. We show that the proposed model is rotational invariant, admits a conserved energy, is well-balanced,

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9

Liu, Hsueh-Ti Derek, Mark Gillespie, Benjamin Chislett, Nicholas Sharp, Alec Jacobson, and Keenan Crane. "Surface Simplification using Intrinsic Error Metrics." ACM Transactions on Graphics 42, no. 4 (2023): 1–17. http://dx.doi.org/10.1145/3592403.

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This paper describes a method for fast simplification of surface meshes. Whereas past methods focus on visual appearance, our goal is to solve equations on the surface. Hence, rather than approximate the extrinsic geometry, we construct a coarse intrinsic triangulation of the input domain. In the spirit of the quadric error metric (QEM) , we perform greedy decimation while agglomerating global information about approximation error. In lieu of extrinsic quadrics, however, we store intrinsic tangent vectors that track how far curvature "drifts" during simplification. This process also yields a b

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10

MATSUSHITA, YASUYUKI, STEPHEN LIN, HEUNG-YEUNG SHUM, XIN TONG, and SING BING KANG. "LIGHTING AND SHADOW INTERPOLATION USING INTRINSIC LUMIGRAPHS." International Journal of Image and Graphics 04, no. 04 (2004): 585–604. http://dx.doi.org/10.1142/s0219467804001555.

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Densely-sampled image representations such as the light field or Lumigraph have been effective in enabling photorealistic image synthesis. Unfortunately, lighting interpolation with such representations has not been shown to be possible without the use of accurate 3D geometry and surface reflectance properties. In this paper, we propose an approach to image-based lighting interpolation that is based on estimates of geometry and shading from relatively few images. We decompose light fields captured at different lighting conditions into intrinsic images (reflectance and illumination images), and

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11

Shaik, Sason S. "Intrinsic selectivity and its geometric significance in SN2 reactions." Canadian Journal of Chemistry 64, no. 1 (1986): 96–99. http://dx.doi.org/10.1139/v86-016.

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An intrinsic selectivity is defined for identity SN2 reactions (X− + RX → XR + X−). This selectivity parameter is shown to yield information about: (a) the average looseness of the TS geometry in a reaction series; and (b) the sensitivity of the reaction series to geometric loosening.

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12

Weiss, Gunter. "GEOMETRY. WHAT ELSE !? - MORE OF “ENVIRONMENTAL GEOMETRY”." Boletim da Aproged, no. 34 (December 2018): 9–20. http://dx.doi.org/10.24840/2184-4933_2018-0034_0001.

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This paper is an addendum to a previous article [01] in which several examples demonstrate that “all natural or artificial objects have a shape or form resulting from a natural (bio-physical) or technical (design) process, and therefore have an intrinsic (immanent) geometric constituent”, focusing on the fact that “reality reveals geometry and geometry creates reality”. Since many objects are metaphors for geometric and mathematical content and the starting point for mathematical abstraction, one can conclude that geometry is simply everywhere. This sort of “Appendix” focuses on the symbiotic

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13

Corman, Etienne, Justin Solomon, Mirela Ben-Chen, Leonidas Guibas, and Maks Ovsjanikov. "Functional Characterization of Intrinsic and Extrinsic Geometry." ACM Transactions on Graphics 36, no. 2 (2017): 1–17. http://dx.doi.org/10.1145/2999535.

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14

Rodríguez-Laguna, Javier, Silvia N. Santalla, and Rodolfo Cuerno. "Intrinsic geometry approach to surface kinetic roughening." Journal of Statistical Mechanics: Theory and Experiment 2011, no. 05 (2011): P05032. http://dx.doi.org/10.1088/1742-5468/2011/05/p05032.

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15

Corman, Etienne, Justin Solomon, Mirela Ben-Chen, Leonidas Guibas, and Maks Ovsjanikov. "Functional Characterization of Intrinsic and Extrinsic Geometry." ACM Transactions on Graphics 36, no. 4 (2017): 1. http://dx.doi.org/10.1145/3072959.2999535.

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16

Corman, Etienne, Justin Solomon, Mirela Ben-Chen, Leonidas Guibas, and Maks Ovsjanikov. "Functional characterization of intrinsic and extrinsic geometry." ACM Transactions on Graphics 36, no. 4 (2017): 1. http://dx.doi.org/10.1145/3072959.3126796.

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17

Tavakkoli, S., and S. G. Dhande. "Shape Synthesis and Optimization Using Intrinsic Geometry." Journal of Mechanical Design 113, no. 4 (1991): 379–86. http://dx.doi.org/10.1115/1.2912793.

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The present paper outlines a method of shape synthesis using intrinsic geometry to be used for two-dimensional shape optimization problems. It is observed that the shape of a curve can be defined in terms of intrinsic parameters such as the curvature as a function of the arc lenght. The method of shape synthesis, proposed here, consists of selecting a shape model, defining a set of shape design variables and then evaluating Cartesian coordinates of a curve. A shape model is conceived as a set of continuous piecewise linear segments of the curvature; each segment defined as a function of the ar

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18

Liu, Bingyuan. "The Intrinsic Geometry on Bounded Pseudoconvex Domains." Journal of Geometric Analysis 28, no. 2 (2017): 1728–48. http://dx.doi.org/10.1007/s12220-017-9886-0.

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19

Hosseini Mansoori, Seyed Ali, Behrouz Mirza, and Elham Sharifian. "Extrinsic and intrinsic curvatures in thermodynamic geometry." Physics Letters B 759 (August 2016): 298–305. http://dx.doi.org/10.1016/j.physletb.2016.05.096.

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20

Ambjørn, J., P. Bialas, Z. Burda, J. Jurkiewicz, and B. Petersson. "Intrinsic geometry of c=1 random surfaces." Nuclear Physics B - Proceedings Supplements 42, no. 1-3 (1995): 701–3. http://dx.doi.org/10.1016/0920-5632(95)00355-d.

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21

Guo, Chang-Yu. "Intrinsic geometry and analysis of Finsler structures." Annali di Matematica Pura ed Applicata (1923 -) 196, no. 5 (2017): 1685–93. http://dx.doi.org/10.1007/s10231-017-0634-7.

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22

Jonsson, Thordur. "Intrinsic and extrinsic geometry of random surfaces." Physics Letters B 278, no. 1-2 (1992): 89–93. http://dx.doi.org/10.1016/0370-2693(92)90716-h.

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23

Griffin, Lewis D. "The Intrinsic Geometry of the Cerebral Cortex." Journal of Theoretical Biology 166, no. 3 (1994): 261–73. http://dx.doi.org/10.1006/jtbi.1994.1024.

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24

Ciaglia, F. M., G. Marmo, and J. M. Pérez-Pardo. "Generalized potential functions in differential geometry and information geometry." International Journal of Geometric Methods in Modern Physics 16, supp01 (2019): 1940002. http://dx.doi.org/10.1142/s0219887819400024.

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Potential functions can be used for generating potentials of relevant geometric structures for a Riemannian manifold such as the Riemannian metric and affine connections. We study whether this procedure can also be applied to tensors of rank four and find a negative answer. We study this from the perspective of solving the inverse problem and also from an intrinsic point of view.

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25

Moser, Roger. "Intrinsic Semiharmonic Maps." Journal of Geometric Analysis 21, no. 3 (2010): 588–98. http://dx.doi.org/10.1007/s12220-010-9159-7.

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26

Ito, Sosuke. "Information geometry, trade-off relations, and generalized Glansdorff–Prigogine criterion for stability." Journal of Physics A: Mathematical and Theoretical 55, no. 5 (2022): 054001. http://dx.doi.org/10.1088/1751-8121/ac3fc2.

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Abstract We discuss a relationship between information geometry and the Glansdorff–Prigogine criterion for stability. For the linear master equation, we found a relation between the line element and the excess entropy production rate. This relation leads to a new perspective of stability in a nonequilibrium steady-state. We also generalize the Glansdorff–Prigogine criterion for stability based on information geometry. Our information-geometric criterion for stability works well for the nonlinear master equation, where the Glansdorff–Prigogine criterion for stability does not work well. We deri

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27

BELLUCCI, STEFANO, VINOD CHANDRA, and BHUPENDRA NATH TIWARI. "ON THE THERMODYNAMIC GEOMETRY OF HOT QCD." International Journal of Modern Physics A 26, no. 01 (2011): 43–70. http://dx.doi.org/10.1142/s0217751x11051172.

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We study the nature of the covariant thermodynamic geometry arising from the free energy of hot QCD. We systematically analyze the underlying equilibrium thermodynamic configurations of the free energy of two- and three-flavor hot QCD with or without the inclusion of thermal fluctuations in the neighborhood of the QCD transition temperature. We show that there exists a well-defined thermodynamic geometric notion for the QCD thermodynamics. The geometry thus obtained has no singularity as an intrinsic Riemannian manifold. We further show that there is a close connection of this geometric approa

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28

Wu, Hao, Yongqiang Cheng, and Hongqiang Wang. "Isometric Signal Processing under Information Geometric Framework." Entropy 21, no. 4 (2019): 332. http://dx.doi.org/10.3390/e21040332.

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Information geometry is the study of the intrinsic geometric properties of manifolds consisting of a probability distribution and provides a deeper understanding of statistical inference. Based on this discipline, this letter reports on the influence of the signal processing on the geometric structure of the statistical manifold in terms of estimation issues. This letter defines the intrinsic parameter submanifold, which reflects the essential geometric characteristics of the estimation issues. Moreover, the intrinsic parameter submanifold is proven to be a tighter one after signal processing.

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29

Rainio, O., T. Sugawa, and M. Vuorinen. "Intrinsic Geometry and Boundary Structure of Plane Domains." Siberian Mathematical Journal 62, no. 4 (2021): 691–706. http://dx.doi.org/10.1134/s0037446621040121.

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30

Galaev, Sergei Vasilievich. "The Intrinsic Geometry of Almost Contact Metric Manifolds." Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics 12, no. 1 (2012): 16–22. http://dx.doi.org/10.18500/1816-9791-2012-12-1-16-22.

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31

Hill, C. Denson, and Paweł Nurowski. "Intrinsic geometry of oriented congruences in three dimensions." Journal of Geometry and Physics 59, no. 2 (2009): 133–72. http://dx.doi.org/10.1016/j.geomphys.2008.10.001.

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32

Burago, Dmitri, and Sergei Ivanov. "On intrinsic geometry of surfaces in normed spaces." Geometry & Topology 15, no. 4 (2011): 2275–98. http://dx.doi.org/10.2140/gt.2011.15.2275.

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33

López-Bonilla, J. L., G. A. Ovando Z, and J. M. Rivera-Rebolledo. "Intrinsic geometry of curves and the Bonnor’s equation." Proceedings of the Indian Academy of Sciences - Section A 107, no. 1 (1997): 43–55. http://dx.doi.org/10.1007/bf02840473.

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34

Youssef, Nabil L., S. H. Abed, and A. Soleiman. "Intrinsic theory of projective changes in Finsler geometry." Rendiconti del Circolo Matematico di Palermo 60, no. 1-2 (2011): 263–81. http://dx.doi.org/10.1007/s12215-011-0051-5.

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35

Ye, Allen Q., Olusola A. Ajilore, Giorgio Conte, et al. "The intrinsic geometry of the human brain connectome." Brain Informatics 2, no. 4 (2015): 197–210. http://dx.doi.org/10.1007/s40708-015-0022-2.

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36

Lohkamp, Joachim. "Hyperbolic Unfoldings of Minimal Hypersurfaces." Analysis and Geometry in Metric Spaces 6, no. 1 (2018): 96–128. http://dx.doi.org/10.1515/agms-2018-0006.

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Abstract We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure. This new and natural concept reveals some unexpected geometric and analytic properties of H and its singularity set Ʃ. Moreover, it can be used to prove the existence of hyperbolic unfoldings of H\Ʃ. These are canonical conformal deformations of H\Ʃ into complete Gromov hyperbolic spaces of bounded geometry with Gromov boundary homeomorphic to Ʃ. These new conc

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37

FERNÁNDEZ, V. V., A. M. MOYA, and W. A. RODRIGUES. "GEOMETRIC AND EXTENSOR ALGEBRAS AND THE DIFFERENTIAL GEOMETRY OF ARBITRARY MANIFOLDS." International Journal of Geometric Methods in Modern Physics 04, no. 07 (2007): 1117–58. http://dx.doi.org/10.1142/s0219887807002478.

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We give in this paper which is the third in a series of four a theory of covariant derivatives of representatives of multivector and extensor fields on an arbitrary open set U ⊂ M, based on the geometric and extensor calculus on an arbitrary smooth manifold M. This is done by introducing the notion of a connection extensor field γ defining a parallelism structure on U ⊂ M, which represents in a well-defined way the action on U of the restriction there of some given connection ∇ defined on M. Also we give a novel and intrinsic presentation (i.e. one that does not depend on a chosen orthonormal

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38

Dong, Jinpeng, Yuhao Huang, Songyi Zhang, Shitao Chen, and Nanning Zheng. "Construct Effective Geometry Aware Feature Pyramid Network for Multi-Scale Object Detection." Proceedings of the AAAI Conference on Artificial Intelligence 36, no. 1 (2022): 534–41. http://dx.doi.org/10.1609/aaai.v36i1.19932.

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Feature Pyramid Network (FPN) has been widely adopted to exploit multi-scale features for scale variation in object detection. However, intrinsic defects in most of the current methods with FPN make it difficult to adapt to the feature of different geometric objects. To address this issue, we introduce geometric prior into FPN to obtain more discriminative features. In this paper, we propose Geometry-aware Feature Pyramid Network (GaFPN), which mainly consists of the novel Geometry-aware Mapping Module and Geometry-aware Predictor Head.The Geometry-aware Mapping Module is proposed to make full

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39

Nikkuni, Ryo. "An intrinsic nontriviality of graphs." Algebraic & Geometric Topology 9, no. 1 (2009): 351–64. http://dx.doi.org/10.2140/agt.2009.9.351.

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40

Colebunders, E., S. De Wachter, and B. Lowen. "Intrinsic approach spaces on domains." Topology and its Applications 158, no. 17 (2011): 2343–55. http://dx.doi.org/10.1016/j.topol.2011.01.025.

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41

Bandelt, Hans-Jürgen. "Graphs with intrinsic s3 convexities." Journal of Graph Theory 13, no. 2 (1989): 215–28. http://dx.doi.org/10.1002/jgt.3190130208.

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42

Livingston, Charles. "Intrinsic symmetry groups of links." Algebraic & Geometric Topology 23, no. 5 (2023): 2347–68. http://dx.doi.org/10.2140/agt.2023.23.2347.

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43

Yang, Fan, Hui Chen, Yuwei He, et al. "Geometry-Guided Domain Generalization for Monocular 3D Object Detection." Proceedings of the AAAI Conference on Artificial Intelligence 38, no. 6 (2024): 6467–76. http://dx.doi.org/10.1609/aaai.v38i6.28467.

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Monocular 3D object detection (M3OD) is important for autonomous driving. However, existing deep learning-based methods easily suffer from performance degradation in real-world scenarios due to the substantial domain gap between training and testing. M3OD's domain gaps are complex, including camera intrinsic parameters, extrinsic parameters, image appearance, etc. Existing works primarily focus on the domain gaps of camera intrinsic parameters, ignoring other key factors. Moreover, at the feature level, conventional domain invariant learning methods generally cause the negative transfer issue,

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44

BELLUCCI, STEFANO, and BHUPENDRA NATH TIWARI. "ON REAL INTRINSIC WALL CROSSINGS." International Journal of Modern Physics A 26, no. 30n31 (2011): 5171–209. http://dx.doi.org/10.1142/s0217751x11054917.

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We study moduli space stabilization of a class of BPS configurations from the perspective of the real intrinsic Riemannian geometry. Our analysis exhibits a set of implications towards the stability of the D-term potentials, defined for a set of Abelian scalar fields. In particular, we show that the nature of marginal and threshold walls of stabilities may be investigated by real geometric methods. Interestingly, we find that the leading order contributions may easily be accomplished by translations of the Fayet parameter. Specifically, we notice that the various possible linear, planar, hyper

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45

Engman, Martin, and Ricardo Cordero-Soto. "Intrinsic spectral geometry of the Kerr-Newman event horizon." Journal of Mathematical Physics 47, no. 3 (2006): 033503. http://dx.doi.org/10.1063/1.2174290.

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46

Bélair, Jacques. "Intrinsic Geometry of Biological Surface Growth (Philip H. Todd)." SIAM Review 30, no. 1 (1988): 138–39. http://dx.doi.org/10.1137/1030019.

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47

Talmon, Ronen, and Ronald R. Coifman. "Intrinsic modeling of stochastic dynamical systems using empirical geometry." Applied and Computational Harmonic Analysis 39, no. 1 (2015): 138–60. http://dx.doi.org/10.1016/j.acha.2014.08.006.

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48

CANARUTTO, DANIEL. ""MINIMAL GEOMETRIC DATA" APPROACH TO DIRAC ALGEBRA, SPINOR GROUPS AND FIELD THEORIES." International Journal of Geometric Methods in Modern Physics 04, no. 06 (2007): 1005–40. http://dx.doi.org/10.1142/s0219887807002417.

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The first three sections contain an updated, not-so-short account of a partly original approach to spinor geometry and field theories introduced by Jadczyk and myself [3–5]; it is based on an intrinsic treatment of 2-spinor geometry in which the needed background structures do not need to be assumed, but rather arise naturally from a unique geometric datum: a vector bundle with complex 2-dimensional fibers over a real 4-dimensional manifold. The following two sections deal with Dirac algebra and 4-spinor groups in terms of two spinors, showing various aspects of spinor geometry from a differen

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49

BARBERO-LIÑÁN, MARÍA, and ANDREW D. LEWIS. "GEOMETRIC INTERPRETATIONS OF THE SYMMETRIC PRODUCT IN AFFINE DIFFERENTIAL GEOMETRY AND APPLICATIONS." International Journal of Geometric Methods in Modern Physics 09, no. 08 (2012): 1250073. http://dx.doi.org/10.1142/s0219887812500739.

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The symmetric product of vector fields on a manifold arises when one studies the controllability of certain classes of mechanical control systems. A novel geometric description of the symmetric product is provided using parallel transport, along the lines of the flow interpretation of the Lie bracket. This geometric interpretation of the symmetric product yields two different applications. First, an intrinsic proof is provided of the fact that the distributions closed under the symmetric product are exactly those distributions invariant under the geodesic flow. Second, some applications in geo

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50

Vitale, Richard A. "Intrinsic volumes and Gaussian processes." Advances in Applied Probability 33, no. 2 (2001): 354–64. http://dx.doi.org/10.1017/s0001867800010831.

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Intrinsic volumes are key functionals in convex geometry and have also appeared in several stochastic settings. Here we relate them to questions of regularity in Gaussian processes with regard to Itô–Nisio oscillation and metrization of GB/GC indexing sets. Various bounds and estimates are presented, and questions for further investigation are suggested. From alternate points of view, much of the discussion can be interpreted in terms of (i) random sets and (ii) properties of (deterministic) infinite-dimensional convex bodies.

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