Готові списки джерел за темами / Interpolation sets

Зміст

  1. Статті в журналах
  2. Дисертації
  3. Книги
  4. Частини книг
  5. Тези доповідей конференцій
  6. Звіти організацій

Добірка наукової літератури з теми "Interpolation sets"

Автор: Grafiati
Опубліковано: 28 травня 2022
Оновлено: 31 липня 2025

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Статті в журналах з теми "Interpolation sets"

1

Le, Anh N. "Sublacunary sets and interpolation sets for nilsequences." Discrete & Continuous Dynamical Systems 42, no. 4 (2022): 1855. http://dx.doi.org/10.3934/dcds.2021175.

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<p style='text-indent:20px;'>A set <inline-formula><tex-math id="M1">\begin{document}$ E \subset \mathbb{N} $\end{document}</tex-math></inline-formula> is an interpolation set for nilsequences if every bounded function on <inline-formula><tex-math id="M2">\begin{document}$ E $\end{document}</tex-math></inline-formula> can be extended to a nilsequence on <inline-formula><tex-math id="M3">\begin{document}$ \mathbb{N} $\end{document}</tex-math></inline-formula>. Following a theorem of Strzelecki, every lacunary set is a
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2

Feng, Renzhong, and Yanan Zhang. "Piecewise Bivariate Hermite Interpolations for Large Sets of Scattered Data." Journal of Applied Mathematics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/239703.

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Анотація:
The requirements for interpolation of scattered data are high accuracy and high efficiency. In this paper, a piecewise bivariate Hermite interpolant satisfying these requirements is proposed. We firstly construct a triangulation mesh using the given scattered point set. Based on this mesh, the computational point (x,y) is divided into two types: interior point and exterior point. The value of Hermite interpolation polynomial on a triangle will be used as the approximate value if point (x,y) is an interior point, while the value of a Hermite interpolation function with the form of weighted comb
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3

De Bruin, Marcel G., and Detlef H. Mache. "Independent sets of interpolation nodes or "how to make all sets regular"." Journal of Numerical Analysis and Approximation Theory 41, no. 1 (2012): 42–47. http://dx.doi.org/10.33993/jnaat411-967.

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Анотація:
Hermite-Birkhoff interpolation and Pál-type interpolation have been receiving much attention over the years. Also during the previous 15 years the subject of interpolation in non-uniformly distributed nodes has been looked into. There are, however, not many examples known where lacunary problems (the orders of the derivatives for which data are given, are non-consecutive) are regular. Here lacunary Pál-type interpolation is looked into "the other way around": the interpolation points are given and the orders of the derivatives to be used are derived from the number of points.
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4

Le, Anh N. "Interpolation sets and nilsequences." Colloquium Mathematicum 162, no. 2 (2020): 181–99. http://dx.doi.org/10.4064/cm7937-9-2019.

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5

Pigno, Louis. "Sets of interpolation and small p sets." Colloquium Mathematicum 51, no. 1 (1987): 277–79. http://dx.doi.org/10.4064/cm-51-1-277-279.

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6

Essanhaji, A., and M. Errachid. "Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach." Journal of Applied Mathematics 2022 (March 14, 2022): 1–8. http://dx.doi.org/10.1155/2022/8227086.

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Анотація:
The problems of polynomial interpolation with several variables present more difficulties than those of one-dimensional interpolation. The first problem is to study the regularity of the interpolation schemes. In fact, it is well-known that, in contrast to the univariate case, there is no universal space of polynomials which admits unique Lagrange interpolation for all point sets of a given cardinality, and so the interpolation space will depend on the set Z of interpolation points. Techniques of univariate Newton interpolating polynomials are extended to multivariate data points by different
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7

Calvi, Jean Paul. "A convergence problem for Kergin interpolation." Proceedings of the Edinburgh Mathematical Society 37, no. 1 (1994): 175–83. http://dx.doi.org/10.1017/s0013091500018794.

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Анотація:
Let E, F, G be three compact sets in ℂn. We say that (E, F, G) holds if for any choice of an interpolating array in F and of an analytic function ℂ on G, the Kergjn interpolation polynomial of ℂ exists and converges to ℂ on E. Given two of the three sets, we study how to construct the third in order that (E, F, G) holds.
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8

Rashkovskii, Alexander. "Interpolation of Weighted Extremal Functions." Arnold Mathematical Journal 7, no. 3 (2021): 407–17. http://dx.doi.org/10.1007/s40598-021-00175-x.

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AbstractAn approach to interpolation of compact subsets of $${{\mathbb {C}}}^n$$ C n , including Brunn–Minkowski type inequalities for the capacities of the interpolating sets, was developed in [8] by means of plurisubharmonic geodesics between relative extremal functions of the given sets. Here we show that a much better control can be achieved by means of the geodesics between weighted relative extremal functions. In particular, we establish convexity properties of the capacities that are stronger than those given by the Brunn–Minkowski inequalities.
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9

Bau, David, Hendrik Himmelein, and Christoph Pörschmann. "Comparison of Non-Parametric Interpolation Techniques for Sparsely Measured Binaural Room Impulse Responses." Journal of the Audio Engineering Society 72, no. 7/8 (2024): 479–92. http://dx.doi.org/10.17743/jaes.2022.0150.

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This study investigates different interpolation techniques for spatially upsampling Binaural Room Impulse Responses (BRIRs) measured on a sparse grid of view orientations. In this context, the authors recently presented the Spherical Array Interpolation by Time Alignment (SARITA) method for interpolating spherical microphone array signals with a limited number of microphones, which is adapted for the spatial upsampling of sparse BRIR datasets in the present work. SARITA is compared with two existing nonparametric BRIR-interpolation methods and naive linear interpolation. The study provides a t
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10

Dryanov, Dimiter, and Petar Petrov. "Canonical Sets of BestL1-Approximation." Journal of Function Spaces and Applications 2012 (2012): 1–38. http://dx.doi.org/10.1155/2012/435945.

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Анотація:
In mathematics, the termapproximationusually means either interpolation on a point set or approximation with respect to a given distance. There is a concept, which joins the two approaches together, and this is the concept of characterization of the best approximants via interpolation. It turns out that for some large classes of functions the best approximants with respect to a certain distance can be constructed by interpolation on a point set that does not depend on the choice of the function to be approximated. Such point sets are calledcanonical sets of best approximation. The present pape
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Дисертації з теми "Interpolation sets"

1

Memarsadeghi, Nargess. "Efficient algorithms for clustering and interpolation of large spatial data sets." College Park, Md. : University of Maryland, 2007. http://hdl.handle.net/1903/6839.

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Анотація:
Thesis (Ph. D.) -- University of Maryland, College Park, 2007.<br>Thesis research directed by: Computer Science. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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2

Tárrega, Ruiz Luis. "Interpolation and equicontinuity sets in topological groups and spaces of continuous functions." Doctoral thesis, Universitat Jaume I, 2017. http://hdl.handle.net/10803/460830.

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Анотація:
This thesis studies the relation between the existence of a particular sort of subsets of metric valued continuous functions on a topological space X and the properties of the topological space itself. The dissertation relies on how the existence of subsets of continuous functions that possess one of these two antagonist properties, almost equicontinuity and being a B-family, affects the topological space. The former property appears in the setting of dynamical systems, and the latter is a property stronger that the concept of non-equicontinuity and it is motivated by a result of Bourgain.
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3

Lundell, Fredrik. "Out-of-Core Multi-Resolution Volume Rendering of Large Data Sets." Thesis, Linköpings universitet, Medie- och Informationsteknik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-70162.

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Анотація:
A modality device can today capture high resolution volumetric data sets and as the data resolutions increase so does the challenges of processing volumetric data through a visualization pipeline. Standard volume rendering pipelines often use a graphic processing unit (GPU) to accelerate rendering performance by taking beneficial use of the parallel architecture on such devices. Unfortunately, graphics cards have limited amounts of video memory (VRAM), causing a bottleneck in a standard pipeline. Multi-resolution techniques can be used to efficiently modify the rendering pipeline, allowing a s
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4

Appia, Vikram V. "A color filter array interpolation method for digital cameras using alias cancellation." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/22542.

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Анотація:
Thesis (M. S.)--Electrical and Computer Engineering, Georgia Institute of Technology, 2008.<br>Committee Chair: Russell Mersereau; Committee Member: Anthony J. Yezzi; Committee Member: Yucel Altunbasak.
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5

Гостєв, Е. С., Оксана Анатоліївна Боженко, Оксана Анатольевна Боженко та Oksana Anatoliivna Bozhenko. "Слабко регулярні множини". Thesis, Сумський державний університет, 2017. http://essuir.sumdu.edu.ua/handle/123456789/65598.

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Анотація:
Поняття слабко регулярної множини у комплексній площині дає можливість будувати приклади інтерполяційних множин у класах цілих функцій нульового порядку. Для їх побудови використовувалась інтерполяційна теорема Карлесона в термінах міри, що породжується цими вузлами.
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6

Guo, Likang. "The peak-interpolation sets in product domains." 1994. http://catalog.hathitrust.org/api/volumes/oclc/32248774.html.

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Анотація:
Thesis (Ph. D.)--University of Wisconsin--Madison, 1994.<br>Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 64-65).
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7

Bharali, Gautam. "On smooth peak-interpolation sets for weakly pseudoconvex domains." 2002. http://www.library.wisc.edu/databases/connect/dissertations.html.

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8

"Further investigations of geometric representation approach to fuzzy inference and interpolation." 2002. http://library.cuhk.edu.hk/record=b5891174.

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Анотація:
Wong Man-Lung.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2002.<br>Includes bibliographical references (leaves 99-103).<br>Abstracts in English and Chinese.<br>Abstract --- p.i<br>Acknowledgments --- p.iii<br>List of Figures --- p.viii<br>List of Tables --- p.ix<br>Chapter 1 --- Introduction --- p.1<br>Chapter 1.1 --- Background --- p.1<br>Chapter 1.2 --- Objectives --- p.5<br>Chapter 2 --- Cartesian Representation of Membership Function --- p.7<br>Chapter 2.1 --- The Cartesian Representation --- p.8<br>Chapter 2.2 --- Region of Well-defined Membership Functions --- p.10<b
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9

Kumar, Poornendu. "Interaction of distinguished varieties and the Nevanlinna-Pick interpolation problem in some domains." Thesis, 2023. https://etd.iisc.ac.in/handle/2005/6148.

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Анотація:
This thesis explores the interplay between complex geometry and operator theory, focusing on characterizing certain objects from algebraic geometry. Two concepts that have been of prime importance in recent times in the analysis of Hilbert space operators are distinguished varieties, which are a priori geometric in nature, and joint spectra, which are a priori algebraic in nature. This thesis brings them together to characterize all distinguished varieties with respect to the bidisc, more generally the polydisc and the symmetrized bidisc in terms of the joint spectrum of certain linear pe
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10

Goldani, Moghaddam Hassan. "Applications of Generic Interpolants In the Investigation and Visualization of Approximate Solutions of PDEs on Coarse Unstructured Meshes." Thesis, 2010. http://hdl.handle.net/1807/24757.

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In scientific computing, it is very common to visualize the approximate solution obtained by a numerical PDE solver by drawing surface or contour plots of all or some components of the associated approximate solutions. These plots are used to investigate the behavior of the solution and to display important properties or characteristics of the approximate solutions. In this thesis, we consider techniques for drawing such contour plots for the solution of two and three dimensional PDEs. We first present three fast contouring algorithms in two dimensions over an underlying unstructured mesh. Unl
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Книги з теми "Interpolation sets"

1

Graham, Colin C., and Kathryn E. Hare. Interpolation and Sidon Sets for Compact Groups. Springer US, 2013. http://dx.doi.org/10.1007/978-1-4614-5392-5.

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2

Graham, Colin C. Interpolation and Sidon Sets for Compact Groups. Springer US, 2013.

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3

Wingren, Peter. Lipschitz spaces on closed sets, polynomial interpolation, linear projections and local approximation. Dept., Univ., 1987.

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4

Peng, Jun, Qiang Shen, and Shangzhu Jin. Backward Fuzzy Rule Interpolation. Springer, 2018.

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5

Peng, Jun, Qiang Shen, and Shangzhu Jin. Backward Fuzzy Rule Interpolation. Springer, 2019.

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6

Graham, Colin, and Kathryn E. Hare. Interpolation and Sidon Sets for Compact Groups. Springer, 2013.

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7

Graham, Colin, and Kathryn E. Hare. Interpolation and Sidon Sets for Compact Groups. Springer, 2015.

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8

Interpolation And Sidon Sets For Compact Groups. Springer, 2012.

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9

Guardo, Elena, and Adam Van Tuyl. Arithmetically Cohen-Macaulay Sets of Points in P1 x P1. Springer, 2015.

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10

Guardo, Elena, and Adam Van Tuyl. Arithmetically Cohen-Macaulay Sets of Points in P^1 X P^1. Springer London, Limited, 2015.

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Частини книг з теми "Interpolation sets"

1

Czelakowski, Janusz. "Rasiowa–Sikorski Sets and Forcing." In Larisa Maksimova on Implication, Interpolation, and Definability. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-69917-2_7.

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2

Ma, Liyong, Jiachen Ma, and Yi Shen. "Support Vector Machines Based Image Interpolation Correction Scheme." In Rough Sets and Knowledge Technology. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11795131_99.

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3

Cole, Brian J., and John Wermer. "Pick interpolation, Von Neumann inequalities, and hyperconvex sets." In Complex Potential Theory. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0934-5_3.

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4

Migeon, Bruno, Fabien Boissé, Philippe Deforge, and Pierre Marché. "Geodesic Path Based Interpolation Using Level Sets Propagation." In Computer Analysis of Images and Patterns. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48375-6_35.

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5

Lorentz, G. G. "Independent Sets of Knots and Singularity of Interpolation Matrices." In Mathematics from Leningrad to Austin. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-5323-5_41.

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Lorentz, G. G. "Independent Sets of Knots and Singularity of Interpolation Matrices." In Mathematics from Leningrad to Austin. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-5329-7_41.

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7

Ma, Lizhuang, Qiang Wang, and Chan K. Y. Tony. "Surface Interpolation Scheme by Distance Blending over Convex Sets." In Advances in Geometric Modeling. John Wiley & Sons, Ltd, 2005. http://dx.doi.org/10.1002/0470860448.ch9.

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8

Feng, Eva, David Toman, and Grant Weddell. "Magic Sets in Interpolation-Based Rule Driven Query Optimization." In Rules and Reasoning. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-21541-4_13.

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9

Matt, Michael A. "Minimal determining sets for splines on partialWorsey-Farin splits." In Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness. Vieweg+Teubner Verlag, 2012. http://dx.doi.org/10.1007/978-3-8348-2384-7_3.

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10

Klumpp, Dominik, Daniel Dietsch, Matthias Heizmann, et al. "Ultimate GemCutter and the Axes of Generalization." In Tools and Algorithms for the Construction and Analysis of Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-99527-0_35.

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AbstractUltimate GemCutter verifies concurrent programs using the CEGAR paradigm, by generalizing from spurious counterexample traces to larger sets of correct traces. We integrate classical CEGAR generalization with orthogonal generalization across interleavings. Thereby, we are able to prove correctness of programs otherwise out-of-reach for interpolation-based verification. The competition results show significant advantages over other concurrency approaches in the Ultimate family.
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Тези доповідей конференцій з теми "Interpolation sets"

1

Qu, Yanpeng, Jiaxing Wu, Zhanwen Wu, and Longzhi Yang. "Fuzzy Rule Interpolation with A General Representation of Fuzzy Sets." In 2024 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2024. http://dx.doi.org/10.1109/fuzz-ieee60900.2024.10612091.

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2

Reddinger, Jean-Paul, and Farhan Gandhi. "Response Surface Estimation of Trim Controls for a Compound Helicopter with Control Redundancy." In Vertical Flight Society 72nd Annual Forum & Technology Display. The Vertical Flight Society, 2016. http://dx.doi.org/10.4050/f-0072-2016-11362.

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For a compound helicopter with sufficient control redundancy, this study presents a knowledge based method for estimating the set of controls required to maintain trim as a function of additional controls (main rotor RPM, auxiliary thrust, and stabilator pitch). Trim analyses with parametric sweeps through the additional controls are simulated in RCAS for a compound helicopter model based on a UH-60A. The resulting data sets are used to construct quadratic regression fit models, which represent the response of the six classical trim controls subject to variation in additional controls. In hove
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3

Gegeny, David, and Szilveszter Kovacs. "Fuzzy Interpolation of Fuzzy Rough Sets." In 2022 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2022. http://dx.doi.org/10.1109/fuzz-ieee55066.2022.9882837.

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Stanton*, Aaron, Mauricio D. Sacchi, Ray Abma, and Jaime A. Stein. "Mitigating artifacts in Projection Onto Convex Sets interpolation." In SEG Technical Program Expanded Abstracts 2015. Society of Exploration Geophysicists, 2015. http://dx.doi.org/10.1190/segam2015-5754691.1.

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Ralescu, Anca, and Sofia Visa. "Obtaining Fuzzy Sets using Mass Assignment Theory - Consistency with Interpolation -." In NAFIPS 2007 - 2007 Annual Meeting of the North American Fuzzy Information Processing Society. IEEE, 2007. http://dx.doi.org/10.1109/nafips.2007.383879.

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Yang, Longzhi, Chengyuan Chen, Nanlin Jin, Xin Fu, and Qiang Shen. "Closed form fuzzy interpolation with interval type-2 fuzzy sets." In 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2014. http://dx.doi.org/10.1109/fuzz-ieee.2014.6891643.

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Torokhti, Anatoli. "Filtering of stochastic signal sets: A new piecewise interpolation technique." In 2011 IEEE Statistical Signal Processing Workshop (SSP). IEEE, 2011. http://dx.doi.org/10.1109/ssp.2011.5967777.

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DE MARCHI, S. "SETS OF NEAR-OPTIMAL POINTS FOR INTERPOLATION ON THE SQUARE." In Proceedings of the 7th Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701817_0026.

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"Slope based Grid Creation using Interpolation of LIDAR Data Sets." In International Conference on Software Engineering and Applications. SciTePress - Science and and Technology Publications, 2013. http://dx.doi.org/10.5220/0004574402270232.

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Bumroongsri, Pornchai, and Soorathep Kheawhom. "An interpolation-based robust MPC algorithm using polyhedral invariant sets." In 2013 European Control Conference (ECC). IEEE, 2013. http://dx.doi.org/10.23919/ecc.2013.6669124.

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Звіти організацій з теми "Interpolation sets"

1

Nalesso, Mauro, and Pedro Coli. Step by Step Guide: Hydro-BID Manual. Inter-American Development Bank, 2017. http://dx.doi.org/10.18235/0007997.

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Анотація:
The following manual has been prepared with the idea of facilitating the learning process in the use of the Hydro-BID model and the Analytical Hydrographic Database for Latin America and the Caribbean (LAC-AHD). The instructions below are supported by the material distributed in Hydro-BID’s installation package and that is based on the simplified case study of a River basin in the state of Pernambuco, Brazil. By following the instructions you should be able to understand how to set up a simulation in Hydro-BID, how to proceed for the interpolation of climate data, how to calibrate the model an
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Vandevort, Daniel, Chandler Engel, Shaun Stanton, and Jeffrey Ellis. Application of limited-field-data methods in reservoir volume estimation : a case study. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48268.

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The conventional approach to estimating lake or reservoir water volumes hinges on field data collection; however, volume estimation methods are available that use little or no field data. Two such methods—the simplified V-A-h (volume-area-height) and the power function—were applied to a set of six anthropogenic reservoirs on the Fort Jackson, South Carolina, installation and checked against a validation data set. Additionally, seven interpolation methods were compared for differences in total volume estimation based on sonar data collected at each reservoir. The simplified V-A-h method overest
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