Relevant bibliographies by topics / Local curvature

Academic literature on the topic 'Local curvature'

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Published: 14 March 2023

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Journal articles on the topic "Local curvature"

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Milin Šipuš, Željka, and Blaženka Divjak. "Surfaces of Constant Curvature in the Pseudo-Galilean Space." International Journal of Mathematics and Mathematical Sciences 2012 (2012): 1–28. http://dx.doi.org/10.1155/2012/375264.

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We develop the local theory of surfaces immersed in the pseudo-Galilean space, a special type of Cayley-Klein spaces. We define principal, Gaussian, and mean curvatures. By this, the general setting for study of surfaces of constant curvature in the pseudo-Galilean space is provided. We describe surfaces of revolution of constant curvature. We introduce special local coordinates for surfaces of constant curvature, so-called the Tchebyshev coordinates, and show that the angle between parametric curves satisfies the Klein-Gordon partial differential equation. We determine the Tchebyshev coordinates for surfaces of revolution and construct a surface with constant curvature from a particular solution of the Klein-Gordon equation.
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Zou, Weiyao, Kevin P. Thompson, and Jannick P. Rolland. "Differential Shack-Hartmann curvature sensor: local principal curvature measurements." Journal of the Optical Society of America A 25, no. 9 (August 21, 2008): 2331. http://dx.doi.org/10.1364/josaa.25.002331.

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Veronelli, Giona. "Scalar Curvature via Local Extent." Analysis and Geometry in Metric Spaces 6, no. 1 (November 1, 2018): 146–64. http://dx.doi.org/10.1515/agms-2018-0008.

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AbstractWe give a metric characterization of the scalar curvature of a smooth Riemannian manifold, analyzing the maximal distance between (n + 1) points in infinitesimally small neighborhoods of a point. Since this characterization is purely in terms of the distance function, it could be used to approach the problem of defining the scalar curvature on a non-smooth metric space. In the second part we will discuss this issue, focusing in particular on Alexandrov spaces and surfaces with bounded integral curvature.
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Garanzha, Vladimir A., Liudmila N. Kudryavtseva, and Dmitry A. Makarov. "Discrete curvatures for planar curves based on Archimedes’ duality principle." Russian Journal of Numerical Analysis and Mathematical Modelling 37, no. 2 (April 1, 2022): 85–98. http://dx.doi.org/10.1515/rnam-2022-0007.

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Abstract We introduce discrete curvatures for planar curves based on the construction of sequences of pairs of mutually dual polylines. For piecewise-regular curves consisting of a finite number of fragments of regular generalized spirals with definite (positive or negative) curvatures our discrete curvatures approximate the exact averaged curvature from below and from above. In order to derive these estimates one should provide a distance function allowing to compute the closest point on the curve for an arbitrary point on the plane.With refinement of the polylines, the averaged curvature over refined curve segments converges to the pointwise values of the curvature and, thus, we obtain a good and stable local approximation of the curvature. For the important engineering case when the curve is approximated only by the inscribed (primal) polyline and the exact distance function is not available, we provide a comparative analysis for several techniques allowing to build dual polylines and discrete curvatures and evaluate their ability to create lower and upper estimates for the averaged curvature.
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Huang, Y., and A. J. Rosakis. "Extension of Stoney’s Formula to Arbitrary Temperature Distributions in Thin Film/Substrate Systems." Journal of Applied Mechanics 74, no. 6 (February 9, 2006): 1225–33. http://dx.doi.org/10.1115/1.2744035.

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Current methodologies used for the inference of thin film stress through curvature measurements are strictly restricted to stress and curvature states that are assumed to remain uniform over the entire film/substrate system. By considering a circular thin film/substrate system subject to nonuniform and nonaxisymmetric temperature distributions, we derive relations between the film stresses and temperature, and between the plate system’s curvatures and the temperature. These relations featured a “local” part that involves a direct dependence of the stress or curvature components on the temperature at the same point, and a “nonlocal” part that reflects the effect of temperature of other points on the location of scrutiny. Most notably, we also derive relations between the polar components of the film stress and those of system curvatures which allow for the experimental inference of such stresses from full-field curvature measurements in the presence of arbitrary nonuniformities. These relations also feature a “nonlocal” dependence on curvatures making full-field measurements of curvature a necessity for the correct inference of stress. Finally, it is shown that the interfacial shear tractions between the film and the substrate are related to the gradients of the first curvature invariant and can also be inferred experimentally.
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SABOURAU, Stéphane. "Macroscopic scalar curvature and local collapsing." Annales scientifiques de l'École Normale Supérieure 55, no. 4 (July 2022): 919–36. http://dx.doi.org/10.24033/asens.2509.

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Nietiadi, Maureen L., and Herbert M. Urbassek. "Influence of local curvature on sputtering." Applied Physics Letters 103, no. 11 (September 9, 2013): 113108. http://dx.doi.org/10.1063/1.4821294.

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Rueda, Sylvia, Jayaram K. Udupa, and Li Bai. "Shape modeling via local curvature scale." Pattern Recognition Letters 31, no. 4 (March 2010): 324–36. http://dx.doi.org/10.1016/j.patrec.2009.09.007.

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Helliwell, T. M., and D. A. Konkowski. "Cosmic strings: Gravitation without local curvature." American Journal of Physics 55, no. 5 (May 1987): 401–7. http://dx.doi.org/10.1119/1.15145.

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Li, H., and S. Q. Liu. "Local interpolation of curvature-continuous surfaces." Computer-Aided Design 24, no. 9 (September 1992): 491–503. http://dx.doi.org/10.1016/0010-4485(92)90029-a.

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Dissertations / Theses on the topic "Local curvature"

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Friday, Brian Matthew. "VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS." CSUSB ScholarWorks, 2019. https://scholarworks.lib.csusb.edu/etd/884.

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Characterizing a manifold up to isometry is a challenging task. A manifold is a topological space. One may equip a manifold with a metric, and generally speaking, this metric determines how the manifold “looks". An example of this would be the unit sphere in R3. While we typically envision the standard metric on this sphere to give it its familiar shape, one could define a different metric on this set of points, distorting distances within this set to make it seem perhaps more ellipsoidal, something not isometric to the standard round sphere. In an effort to distinguish manifolds up to isometry, we wish to compute meaningful invariants. For example, the Riemann curvature tensor and its surrogates are examples of invariants one could construct. Since these objects are generally too complicated to compare and are not real valued, we construct scalar invariants from these objects instead. This thesis will explore these invariants and exhibit a special family of manifolds that are not flat on which all of these invariants vanish. We will go on to properly define, and gives examples of, manifolds, metrics, tangent vector fields, and connections. We will show how to compute the Christoffel symbols that define the Levi-Civita connection, how to compute curvature, and how to raise and lower indices so that we can produce scalar invariants. In order to construct the curvature operator and curvature tensor, we use the miracle of pseudo-Riemannian geometry, i.e., the Levi-Civita connection, the unique torsion free and metric compatible connection on a manifold. Finally, we examine Generalized Plane Wave Manifolds, and show that all scalar invariants of Weyl type on these manifolds vanish, despite the fact that many of these manifolds are not flat.
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Scholtes, Sebastian [Verfasser]. "Geometric curvature energies : from local to global ; from discrete to smooth / Sebastian Scholtes." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2014. http://d-nb.info/1066812713/34.

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Razive, Mohammad Nahid Islam. "Evaluation of linear segment length and local curvature radius along airfoil leading and trailing edges." Thesis, University of British Columbia, 2012. http://hdl.handle.net/2429/42027.

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Airfoil is the basic profile geometry of impeller and turbine blades. The operational efficiency of these blades is governed by stringent tolerance specifications on the airfoils. The specified tolerances are commonly evaluated from discrete coordinate data collected in sections by a touch-probe coordinate measuring machine (CMM). These measurement data are subject to inspection inaccuracies associated with CMM measurement operation. Apart from well-known inspection parameters like profile tolerance, profile thickness and edge radius, the leading edge (LE) and trailing edge (TE) are specified with a unique set of geometric parameters like the maximum linear segment length restriction and the minimum curvature radius restriction. This thesis focuses on evaluating these two localized geometric restrictions along the leading edge and trailing edge of an airfoil. This thesis first presents a robust algorithm to identify the longest linear segment. The main feature of the proposed algorithm is the explicit consideration of measurement uncertainty. The algorithm starts by detecting relatively small linear segments and then merges these segments to determine the longest feasible linear segment under given measurement uncertainty. The effect of measurement uncertainty and data point resolution on the performance of the presented algorithm is demonstrated through case studies. Once the linear segments are identified and excluded, the remaining data points only belong to the non-linear segments. As minimum radius can occur at any location, curvature radius at each point along the non-linear segments is evaluated. Curvature radius at a specific point can only be estimated from its neighborhood. The chosen neighborhood size needs to be balanced between capturing local curvature attribute and effectively considering the effect of measurement uncertainty. An algorithm is thus proposed to evaluate radius via a rolling scheme of five consecutive data points in order to retrieve the local curvature information of the mid-point. A statistical approach is employed where all feasible radii are considered in order to reliably estimate the desired radius. Biarc construction is used as a tool to calculate radius. Compared with existing radius estimation methods, the proposed method has demonstrated to yield better accuracy with varying measurement uncertainty and data point resolution.
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Xu, Xun [Verfasser]. "Stem Cell Instruction via Appropriate Geometry and Local Curvature of Microstructured Polymeric Substrates / Xun Xu." Berlin : Freie Universität Berlin, 2019. http://d-nb.info/1182314481/34.

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Bustamante, Juan Pablo Mamani. "Influência local com procura \"forward\" em modelos de regressão linear." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/104/104131/tde-19012017-112532/.

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A identificação de observações influentes e/ou aberrantes de um conjunto de dados é conhecida como uma parte das análises de diagnóstico. Esta técnica de diagnóstico têm como uma das finalidades verificar a robustez de um modelo estatístico, pois a não identificação dos dados influentes pode afetar a análise ou obter resultados incorretos. As metodologias comumente utilizadas para o diagnóstico de observações influentes em modelos de regressão são métodos de influência global (Belsey et al., 1980). Cook (1986) introduziu um método geral para avaliar a influência local de pequenas perturbações no modelo estatístico ou nos dados, usando diferentes tipos de perturbações. Como complemento às técnicas de detecção de observações discrepantes, é proposto o método procura \\forward\", por Atkinson e Riani (2000), que é uma metodologia para detectar observações atípicas mascaradas. Neste trabalho, propomos o uso da influência local com procura \"forward\" na obtenção de observações mascaradas influentes considerando modelos de regressão linear.
The identification of influential and/or atypical observations in a data set is known as a part of the diagnostic analysis. One of the purposes of the diagnostic analysis is to verify the robustness of a statistical model, as the non-identification of influential observations can affect the analysis or may cause the obtainment of incorrect results. The most commonly used methodology for the diagnostic of influential observations in regression models are the global influence (Belsey et al., 1980). Cook (1986) introduced a general method to evaluate the local influence of small perturbations in the statistical model or in the data set using different perturbation schemes. As a complement to the techniques of detection atypical observations, it is proposed the forward search procedure by Atkinson e Riani (2000), which is a methodology to detect the masked atypical observations in a data set. In this work we propose the use of the local influence approach together with the forward search to obtain the masked influential observations in linear regression models.
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Wells-Day, Benjamin Michael. "Structure of singular sets local to cylindrical singularities for stationary harmonic maps and mean curvature flows." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/290409.

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In this paper we prove structure results for the singular sets of stationary harmonic maps and mean curvature flows local to particular singularities. The original work is contained in Chapter 5 and Chapter 8. Chapters 1-5 are concerned with energy minimising maps and stationary harmonic maps. Chapters 6-8 are concerned with mean curvature flows and Brakke flows. In the case of stationary harmonic maps we consider a singularity at which the spine dimension is maximal, and such that the weak tangent map is homotopically non-trivial, and has minimal density amongst singularities of maximal spine dimen- sion. Local to such a singularity we show the singular set is a bi-Hölder continuous homeomorphism of the unit disk of dimension equal to the maximal spine dimension. A weak tangent map is translation invariant along a subspace, and invariant under dilations, so it completely defined by its values on a sphere. Such a map is said to be homotopically non-trivial if the mapping of a sphere into some target manifold cannot be deformed by a homotopy to a constant map. For an n-dimensional mean curvature flow we consider a singularity at which we can find a shrinking cylinder as a tangent flow, that collapses on an (n−1)-dimensional plane. Local to such a singularity we show that all singularities have such a cylindrical tangent, or else have lower Gaussian density than that of the shrinking cylinder. The subset of cylindrical singularities can be shown to be contained in a finite union of parabolic (n − 1)-dimensional Lipschitz submanifolds. In the case that the mean curvature flow arises from elliptic regularisation we can show that all singularities local to a cylindrical singularity with (n − 1)-dimensional spine are either cylindrical singularities with (n − 1)-dimensional spine, or contained in a parabolic Hausdorff (n − 2)-dimensional set.
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Zhang, Zichen. "Local gradient estimate for porous medium and fast diffusion equations by Martingale method." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:551f79f8-b309-4a1f-8afa-c7dc433dad82.

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This thesis focuses on a certain type of nonlinear parabolic partial differential equations, i.e. PME and FDE. Chapter 1 consists of a survey on results related to PME and FDE, and a short review on some works about deriving gradient estimates in probabilistic ways. In Chapter 2 we estimate gradient on space variables of solutions to the heat equation on Euclidean space. The main idea is to construct two semimartingales by letting the solution and its gradient running backward on the path space of a diffusion process. Estimates derived from decompositions of those two semimartingales are then combined to give rise to an upper bound on gradient that only involves the maximum of the initial data and time variable. In particular, it is independent of the dimension. In Chapter 3 we carry the idea in Chapter 2 onto the study of positive solutions to PME or FDE, and obtained a similar type of bound on |∇u| for local solutions to PME or FDE on Euclidean space. In existing literature there have always been constraints on m. By considering a more general form of transformation on u and introducing a family of equivalent measures on path space, we add more flexibility to our method. Thus our result is valid for a larger range of m. For global solutions, when m violates our constraint, we need two-sided bound on u to control |∇u|. In Chapter 4 we utilize maximum principle to derive Li-Yau type gradient estimate for PME on a compact Riemannian manifold with Ricci curvature bounded from below. Our result is able to yield a Harnack inequality possessing the right order in time variable when the lower bound of Ricci curvature is negative.
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Shiping, Liu. "Synthetic notions of curvature and applications in graph theory." Doctoral thesis, Universitätsbibliothek Leipzig, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-102197.

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The interaction between the study of geometric and analytic aspects of Riemannian manifolds and that of graphs is a very amazing subject. The study of synthetic curvature notions on graphs adds new contributions to this topic. In this thesis, we mainly study two kinds of synthetic curvature notions: the Ollivier-Ricci cuvature on locally finite graphs and the combinatorial curvature on infinite semiplanar graphs. In the first part, we study the Ollivier-Ricci curvature. As known in Riemannian geometry, a lower Ricci curvature bound prevents geodesics from diverging too fast on average. We translate this Riemannian idea into a combinatorial setting using the Olliver-Ricci curvature notion. Note that on a graph, the analogue of geodesics starting in different directions, but eventually approaching each other again, would be a triangle. We derive lower and upper Ollivier-Ricci curvature bounds on graphs in terms of number of triangles, which is sharp for instance for complete graphs. We then describe the relation between Ollivier-Ricci curvature and the local clustering coefficient, which is an important concept in network analysis introduced by Watts-Strogatz. Furthermore, positive lower boundedness of Ollivier-Ricci curvature for neighboring vertices imply the existence of at least one triangle. It turns out that the existence of triangles can also improve Lin-Yau\'s curvature dimension inequality on graphs and then produce an implication from Ollivier-Ricci curvature lower boundedness to the curvature dimension inequality. The existence of triangles prevents a graph from being bipartite. A finite graph is bipartite if and only if its largest eigenvalue equals 2. Therefore it is natural that Ollivier-Ricci curvature is closely related to the largest eigenvalue estimates. We combine Ollivier-Ricci curvature notion with the neighborhood graph method developed by Bauer-Jost to study the spectrum estimates of a finite graph. We can always obtain nontrivial estimates on a non-bipartite graph even if its curvature is nonpositive. This answers one of Ollivier\'s open problem in the finite graph setting. In the second part of this thesis, we study systematically infinite semiplanar graphs with nonnegative combinatorial curvature. Unlike the previous Gauss-Bonnet formula approach, we explore an Alexandrov approach based on the observation that the nonnegative combinatorial curvature on a semiplanar graph is equivalent to nonnegative Alexandrov curvature on the surface obtained by replacing each face by a regular polygon of side length one with the same facial degree and gluing the polygons along common edges. Applying Cheeger-Gromoll splitting theorem on the surface, we give a metric classification of infinite semiplanar graphs with nonnegative curvature. We also construct the graphs embedded into the projective plane minus one point. Those constructions answer a question proposed by Chen. We further prove the volume doubling property and Poincare inequality which make the running of Nash-Moser iteration possible. We in particular explore the volume growth behavior on Archimedean tilings on a plane and prove that they satisfy a weak version of relative volume comparison with constant 1. With the above two basic inequalities in hand, we study the geometric function theory of infinite semiplanar graphs with nonnegative curvature. We obtain the Liouville type theorem for positive harmonic functions, the parabolicity. We also prove a dimension estimate for polynomial growth harmonic functions, which is an extension of the solution of Colding-Minicozzi of a conjecture of Yau in Riemannian geometry.
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Santos, Makson Sales. "Métricas com Q-curvatura constante via um fluxo não local e um princípio do máximo para o operador de Paneitz." Universidade Federal de Sergipe, 2015. https://ri.ufs.br/handle/riufs/5804.

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O objetivo desta dissertação é expor com detalhes o resultado de Gursky-Malchiodi. Dada uma variedade Riemanniana (M,g) de dimensão n>4 com curvatura escalar não negativa e Q-curvatura semipositiva, existe uma métrica conforme a g com Q-curvatura constante positiva. Com estas hipóteses mostra-se um princípio do máximo forte para o operador de Paneitz, que é um operador diferencial parcial não linear de quarta ordem. A partir daí define-se um fluxo não local e, utilizando funções testes, modificamos conformemente a métrica inicial tal que o fluxo converge sequencialmente para uma métrica conforme de Q-curvatura constante positiva e curvatura escalar positiva.
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Ferrari, Antonio Luiz. "Variabilidade e tendência da temperatura e pluviosidade nos municípios de Pirassununga, Rio Claro, São Carlos e São Simão (SP): estudo sobre mudança climática de curto prazo em escala local." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/18/18139/tde-23112012-133929/.

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O objetivo desta pesquisa é estudar a variabilidade e tendência dos elementos climáticos pluviosidade e temperatura, em quatro localidades do estado de São Paulo - Pirassununga, Rio Claro, São Carlos e São Simão -, que constituem parte da área de treinamento de voo da Academia da Força Aérea, para confirmar a hipótese de que essas alterações indicam indícios de mudanças climáticas de curto prazo, em escala local e que essas mudanças poderão afetar, no futuro, o planejamento das missões de treinamento de voo na AFA. Para isso foram utilizados, primeiramente, os dados mensais e anuais de temperatura e pluviosidade de uma série temporal de 34 anos (1976 a 2009) e, depois, de uma série mais curta, de 16 anos (1994 a 2009). Para a análise das condições climáticas de São Carlos, Rio Claro e São Simão foram utilizados os dados mensais e anuais de temperatura e pluviosidade de uma série temporal de 16 anos (1994 a 2009). Para efeito da análise estatística da variabilidade climática da temperatura e pluviosidade dentro da série temporal escolhida, foram aplicados os cálculos da média aritmética, do desvio padrão, do coeficiente de variação e da amplitude térmica. Para a análise da tendência, aplicou-se a técnica da regressão linear e os testes estatísticos não-paramétricos, conhecidos como testes de Mann-Kendall e Curvatura de Sen. Os resultados da pesquisa mostraram que a variabilidade mensal e anual da pluviosidade para as quatro localidade é semelhante e bem acentuada e que não existem tendências significativas para essa variável nas quatro localidades. Para as temperaturas em Pirassununga, a temperatura média apresentou grande variabilidade mensal. Para Rio Claro, São Carlos e São Simão a variabilidade anual das temperaturas foi baixa, próxima da estabilidade, com exceção da temperatura mínima, que apresentou grande variabilidade para as três localidades. Quanto à tendência para Pirassununga, apenas a temperatura média apresentou tendência decrescente e significativa. Os resultados obtidos para as temperaturas de Rio Claro, São Carlos e São Simão indicam tendências crescentes e/ou decrescentes, mas todas insignificantes.
The aim of this research is to study the variability and tendency in climatic elements, rainfall and temperature in four cities in the state of São Paulo: Pirassununga, Rio Claro, São Carlos and São Simão which are part of the flight training area of the Air Force Academy, in order to confirm the hypothesis that those alterations indicate signs of climatic variations in the short term, according to the local parameters and that those variations may change the schedule of the flight training missions at AFA. Monthly and annual data regarding to temperature and rainfall, recorded during a period of 34 years (1976-2009) were firstly considered during the study, followed by a shorter period of 16 years (1994-2009). In order to analyze the climatic conditions in São Carlos, Rio Claro and São Simão, monthly and annual data about temperature and rainfall collected during a period of 16 years (1994-2009) were considered. For purposes of statistical analysis of the climatic variability of temperature and rainfall within the chosen period of time, calculation of the arithmetic mean, standard deviation, coefficient of variation and temperature range were applied. In order to analyze such tendency, the linear regression model and non-parametric statistical tests, known as Mann-Kendall and Sen Curvature were applied. The results of the research showed that the monthly and annual variability of the rainfall in the four cities is similar and well marked and that there are not significant tendencies in that variable in the four cities. Relating to temperature in Pirassununga, the average temperature showed large monthly variability. In Rio Claro, São Carlos and São Simão, the annual temperature variability was low, tending to be stable, except for the minimum temperature which showed a large variability. Concerning to Pirassununga, just the average temperature tended to be decreasing and significant. The results obtained for the temperatures in Rio Claro, São Carlos and São Simão tended to be increasing and/or decreasing, but such tendencies were irrelevant.
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Books on the topic "Local curvature"

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Ortaçgil, Ercüment H. Local Lie Groups. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198821656.003.0004.

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Kachelriess, Michael. Gauge theories. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0010.

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After reviewing electrodynamics as the special case of an abelian gauge theory, this local symmetry is generalised to non-abelian gauge theories. The curvature of space-time is introduced as analogue of the non-abelian field-strength. Non-abelian gauge theories are quantised using the Fadeev–Popov method and the resulting Feynman rules are derived.
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Foundations of Arithmetic Differential Geometry. American Mathematical Society, 2017.

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Book chapters on the topic "Local curvature"

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Ballmann, Werner, Mikhael Gromov, and Viktor Schroeder. "Local geometry and convexity." In Manifolds of Nonpositive Curvature, 1–14. Boston, MA: Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4684-9159-3_1.

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Chow, Bennett, Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg, Tom Ivey, Dan Knopf, Peng Lu, Feng Luo, and Lei Ni. "Local derivative of curvature estimates." In Mathematical Surveys and Monographs, 227–58. Providence, Rhode Island: American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/144/05.

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Ecker, Klaus. "Local Estimates via the Maximum Principle." In Regularity Theory for Mean Curvature Flow, 23–46. Boston, MA: Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8210-1_3.

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Ritoré, Manuel, and Carlo Sinestrari. "Local existence and formation of singularities." In Mean Curvature Flow and Isoperimetric Inequalities, 10–16. Basel: Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0213-6_4.

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Bauer, Frank, Bobo Hua, Jürgen Jost, Shiping Liu, and Guofang Wang. "The Geometric Meaning of Curvature: Local and Nonlocal Aspects of Ricci Curvature." In Modern Approaches to Discrete Curvature, 1–62. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58002-9_1.

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Zeng, Tao, and Shizhen Huang. "A Hand Wearable Device Used in Local Curvature Recovery." In Lecture Notes in Electrical Engineering, 46–47. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-3194-7_9.

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Bellettini, Giovanni. "Local well-posedness: the approach of Evans and Spruck." In Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations, 103–26. Pisa: Scuola Normale Superiore, 2013. http://dx.doi.org/10.1007/978-88-7642-429-8_7.

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Rao, Josna, Rafeef Abugharbieh, and Ghassan Hamarneh. "Adaptive Regularization for Image Segmentation Using Local Image Curvature Cues." In Computer Vision – ECCV 2010, 651–65. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15561-1_47.

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Le Quentrec, Étienne, Loïc Mazo, Étienne Baudrier, and Mohamed Tajine. "Local Turn-Boundedness: A Curvature Control for a Good Digitization." In Discrete Geometry for Computer Imagery, 51–61. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-14085-4_5.

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Barth, Erhardt, Mario Ferraro, and Christoph Zetzsche. "Global Topological Properties of Images Derived from Local Curvature Features." In Lecture Notes in Computer Science, 285–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45129-3_25.

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Conference papers on the topic "Local curvature"

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Kamangar, Farhad A., and Ernest M. Stokely. "A Local Curvature Operator." In 1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems, edited by David P. Casasent. SPIE, 1990. http://dx.doi.org/10.1117/12.969733.

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Stokely, Ernest M., and Elizabeth Mazorra. "Local operator for computing curvature." In Medical Imaging VI, edited by Murray H. Loew. SPIE, 1992. http://dx.doi.org/10.1117/12.59431.

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Gong, Yuanhao, and Ivo F. Sbalzarini. "Local weighted Gaussian curvature for image processing." In 2013 20th IEEE International Conference on Image Processing (ICIP). IEEE, 2013. http://dx.doi.org/10.1109/icip.2013.6738110.

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Djabelkhir, Fahima, Mohammed Khamadja, and Christophe Odet. "Level Set Constrained Segmentation Using Local Curvature." In 2007 5th International Symposium on Image and Signal Processing and Analysis. IEEE, 2007. http://dx.doi.org/10.1109/ispa.2007.4383681.

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Yan, Zhao, and Xu Gui-Li. "Contour Matching Based on Local Curvature Scale." In 2013 Third International Conference on Instrumentation, Measurement, Computer, Communication and Control (IMCCC). IEEE, 2013. http://dx.doi.org/10.1109/imccc.2013.376.

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Wang, Wei, Guobin Wan, and Xin Ma. "Curvature limitation in local planar approximation of radome." In 2012 10th International Symposium on Antennas, Propagation & EM Theory (ISAPE - 2012). IEEE, 2012. http://dx.doi.org/10.1109/isape.2012.6408917.

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Lu, Qinglin, Olivier Laligant, Eric Fauvet, and Anastasia Zakharova. "Local surface curvature analysis based on reflection estimation." In Seventh International Conference on Digital Image Processing (ICDIP15), edited by Charles M. Falco and Xudong Jiang. SPIE, 2015. http://dx.doi.org/10.1117/12.2196932.

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Kubo, Hiroyuki, Mai Hariu, Shuhei Wemler, and Shigeo Morishima. "Curvature-dependent local illumination approximation for translucent materials." In SIGGRAPH '09: Posters. New York, New York, USA: ACM Press, 2009. http://dx.doi.org/10.1145/1599301.1599382.

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Hattori, Tomohito, Hiroyuki Kubo, and Shigeo Morishima. "Curvature depended local illumination approximation of ambient occlusion." In ACM SIGGRAPH 2010 Posters. New York, New York, USA: ACM Press, 2010. http://dx.doi.org/10.1145/1836845.1836976.

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Elfouhaily, Tanos M., and Joel T. Johnson. "The reduced local curvature approximation for rough surface scattering." In 2007 IEEE International Geoscience and Remote Sensing Symposium. IEEE, 2007. http://dx.doi.org/10.1109/igarss.2007.4423057.

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Reports on the topic "Local curvature"

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BUCKLING BEHAVIOUR OF THE STEEL PLATE IN STEEL – CONCRETE – STEEL SANDWICH COMPOSITE TOWER FOR WIND TURBINE. The Hong Kong Institute of Steel Construction, September 2022. http://dx.doi.org/10.18057/ijasc.2022.18.3.7.

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To solve the problem of collapses caused by local buckling of steel plates under compression in traditional steel towers, a novel steel-concrete-steel (SCS) sandwich composite tower for a wind turbine is proposed in this paper. To study the buckling behaviour of steel plates in SCS sandwich composite towers, six specimens were designed and tested under axial compression. The specimens were designed considering the key parameters of curvature radius, thickness of the steel plate, and the spacing-to-thickness ratio (the ratio of stud spacing to the thickness of steel plate). The failure modes, normalised average stress-strain curves and load-strain curves of the specimens were assessed, and the effects of the curvature radius and the spacing-to-thickness ratio of the steel plate were analysed. The experimental results showed that the buckling strength of the steel plate increased with a decrease in the ratio of the curvature radius to the thickness of the steel plate. The finite element (FE) model of the elastic buckling stress of the steel plate of the SCS sandwich composite tower was employed and validated against the test results. In parametric study, the effects of governing parameters including the curvature radius of the steel plate, thickness of the steel plate and spacing of the studs, on the effective length factors of the inner and outer steel plates were analysed. Subsequently, the design rules of the effective length factor of the inner and outer steel plates, and the design methods of spacing of studs to prevent local instability of the inner and outer steel plates before yielding were proposed.
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LOCAL BUCKLING BEHAVIORS OF COLD-FORMED CIRCULAR HOLLOW SECTIONS HIGH STRENGTH STEEL STUB COLUMNS BASED ON A HIGH-FIDELITY NUMERICAL MODEL (ICASS’2022). The Hong Kong Institute of Steel Construction, August 2022. http://dx.doi.org/10.18057/icass2020.p.337.

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This paper establishes a high-fidelity numerical model to systematically investigate the local buckling behaviors of cold-formed circular hollow section (CHS) high-strength steel stub columns. Material nonlinearity and geometric nonlinearity are carefully accounted for in the FE model. Based on the Menegotto-Point model, the material constitutive of cold-formed CHS is calibrated considering the characteristics of the curvature of the stress-strain curve. The mesh is uniformly patterned according to the cross-section of the CHSs steel under compression. Subsequently, parametric studies are carried out to study the local buckling mode, buckling strength and ductility of the cold-formed high-strength CHS. The cross-sectional slenderness limit and local buckling strength of CHSs with material strength more than 500 MPa are proposed.
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