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Dissertations / Theses on the topic 'Interpolation'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Rabut, Christophe. "B-splines polyharmoniques cardinales : interpolation, quasi-interpolation, filtrage." Toulouse 3, 1990. http://www.theses.fr/1990TOU30046.

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Les B-splines polynomiales sont couramment utilisées pour définir simplement une fonction spline qui passe "près" de points donnés. Dans le cas où les données sont régulièrement réparties, on apporte, par un traitement préalable des données (convolution avec certains vecteurs à support borné), plus de souplesse à cette opération : on peut alors obtenir une fonction qui passe très près des points -on parle alors de quasi-interpolation- ou au contraire qui filtre les bruits inhérents à ces données on parle alors de filtrage. On montre comment utiliser la méthode de validation croisée pour choisi

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2

Ramesh, Gayatri. "FRACTAL INTERPOLATION." Master's thesis, University of Central Florida, 2008. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3128.

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This thesis is devoted to a study about Fractals and Fractal Polynomial Interpolation. Fractal Interpolation is a great topic with many interesting applications, some of which are used in everyday lives such as television, camera, and radio. The thesis is comprised of eight chapters. Chapter one contains a brief introduction and a historical account of fractals. Chapter two is about polynomial interpolation processes such as Newton s, Hermite, and Lagrange. Chapter three focuses on iterated function systems. In this chapter I report results contained in Barnsley s paper, Fractal Functions and

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3

Goggins, Dan. "Constraint-based interpolation /." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd976.pdf.

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4

Yeung, R. Kacheong. "Stable rational interpolation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape7/PQDD_0021/NQ46952.pdf.

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5

Christ, Jürgen [Verfasser], and Andreas [Akademischer Betreuer] Podelski. "Interpolation modulo theories." Freiburg : Universität, 2015. http://d-nb.info/1119805767/34.

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6

Fang, Quanlei. "Multivariable Interpolation Problems." Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/28311.

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In this dissertation, we solve multivariable Nevanlinna-Pick type interpolation problems. Particularly, we consider the left tangential interpolation problems on the commutative or noncommutative unit ball. For the commutative setting, we discuss left-tangential operator-argument interpolation problems for Schur-class multipliers on the Drury-Arveson space and for the noncommutative setting, we discuss interpolation problems for Schur-class multipliers on Fock space. We apply the Krein-space geometry approach (also known as the Grassmannian Approach). To implement this approach J-versions of B

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7

Merrell, Jacob Porter. "Generalized Constrained Interpolation." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2360.pdf.

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8

Goggins, Daniel David. "Constraint-Based Interpolation." BYU ScholarsArchive, 2005. https://scholarsarchive.byu.edu/etd/610.

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Image reconstruction is the process of converting a sampled image into a continuous one prior to transformation and resampling. This reconstruction can be more accurate if two things are known: the process by which the sampled image was obtained and the general characteristics of the original image. We present a new reconstruction algorithm known as Constraint-Based Interpolation, which estimates the sampling functions found in cameras and analyzes properties of real world images in order to produce quality real-world image magnifications. To accomplish this, Constraint-Based Interpolation use

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9

Ameur, Yacin. "Interpolation of Hilbert spaces." Doctoral thesis, Uppsala universitet, Matematiska institutionen, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-1753.

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(i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t>0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). It is well-known that this property is implied by the following: for each ρ>1 there exists an operator T : H→K such that Tf0=g0, and K(t,Tf;K)≤ρK(t,f;H), f∊H0+H1, t>0.Verifying the latter property, it suffices to consider the "diagonal" case where H=K is finite-dimensional. In this case, we construct the rel

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10

Ameur, Yacin. "Interpolation of Hilbert spaces /." Uppsala : Matematiska institutionen, Univ. [distributör], 2001. http://publications.uu.se/theses/91-506-1531-9/.

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11

Kristoffersen, Stian. "The Empirical Interpolation Method." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2013. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-23378.

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In this thesis we look at the Empirical Interpolation Method (EIM) and how it can be used in different applications. We propose a new formulation of EIM to make it easier to perform analytical operations like differentiation and integration of the basis functions as well as to apply EIM to a variety of problems. The new formulation is used to develop quadrature rules for the circle and semicircle, as well as for arbitrary simple polygons. The new formulation is also used to solve partial differential equations using a collocation approach on various domains including the circle, semicircle and

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12

FERREIRA, CARLOS ROBERTO DA COSTA. "MODIFIED INTERPOLATION OF LSFNULLS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2006. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=9195@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Os novos serviços de telecomunicações têm impulsionado o desenvolvimento de melhorias nos algoritmos de codificação de voz, devido à necessidade de se melhorar a qualidade da voz codificada, utilizando a menor taxa de transmissão possível. Esta dissertação analisa e propõem melhorias em um método para o ajuste de parâmetros LSFs de modo a torná- los mais precisos, minimizando as perdas no processo de interpolação de LSFs codificadas. Com isso, a percepção de qualidade da voz sintetizada na saída do decodificador é aumentada,

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13

Jin, Shangzhu. "Backward fuzzy rule interpolation." Thesis, Aberystwyth University, 2015. http://hdl.handle.net/2160/e4e6acbd-914f-4c8a-b40c-91b13a017c69.

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14

Naik, Nitin. "Dynamic fuzzy rule interpolation." Thesis, Aberystwyth University, 2015. http://hdl.handle.net/2160/1caf8126-23c0-4c9c-9d8d-16c65f2f9878.

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Designers of effective and efficient fuzzy systems have long recognised the value of inferential hybridity in the implementation of sparse fuzzy rule based systems. Which is to say: such systems should have recourse to fuzzy rule interpolation (FRI) only when no rule matches a given observation; otherwise, when an observation partially or exactly matches at least one of the rules of the sparse rule base, a compositional rule of inference (CRI) should be used in order to avoid the computational overheads of interpolation. Sparse fuzzy rule bases are constructed by experts or derived from data a

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15

Du, Toit Wilna. "Radial basis function interpolation." Thesis, Stellenbosch : Stellenbosch University, 2008. http://hdl.handle.net/10019.1/2002.

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Thesis (MSc (Applied Mathematics))--Stellenbosch University, 2008.<br>A popular method for interpolating multidimensional scattered data is using radial basis functions. In this thesis we present the basic theory of radial basis function interpolation and also regard the solvability and stability of the method. Solving the interpolant directly has a high computational cost for large datasets, hence using numerical methods to approximate the interpolant is necessary. We consider some recent numerical algorithms. Software to implement radial basis function interpolation and to display the

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16

Goosen, Karin M. (Karin Michelle). "Subdivision, interpolation and splines." Thesis, Stellenbosch : Stellenbosch University, 2000. http://hdl.handle.net/10019.1/51924.

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Thesis (MSc)--University of Stellenbosch, 2000.<br>ENGLISH ABSTRACT: In this thesis we study the underlying mathematical principles of stationary subdivision, which can be regarded as an iterative recursion scheme for the generation of smooth curves and surfaces in computer graphics. An important tool for our work is Fourier analysis, from which we state some standard results, and give the proof of one non-standard result. Next, since cardinal spline functions have strong links with subdivision, we devote a chapter to this subject, proving also that the cardinal B-splines are refinable, a

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17

Calvi, Jean-Paul. "Interpolation et fonctionnelles analytiques." Toulouse 3, 1993. http://www.theses.fr/1993TOU30014.

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Nous etudions quelques problemes d'interpolation (essentiellement polynomiale). Dans le chapitre premier, nous etudions la reconstruction d'une fonction de plusieurs variables complexes au moyen de polynomes d'interpolation obtenus par la donnee de certaines fonctionnelles des derivees. Plusieurs methodes classiques d'interpolation se laissent mettre sous la forme etudiee. Le second chapitre traite d'un probleme de convergence du polynome d'interpolation de kergin. Etant donnes trois ensembles compacts e,f,g, nous disons que la propriete (e,f,g) est verifiee lorsque pour chaque tableau d'inter

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18

Eastwood, Alan. "Interpolation à plusieurs variables." Nice, 1988. http://www.theses.fr/1988NICE4170.

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On caractérise les sous-schémas génériques localement rectilignes de dimension zéro rangés de l'espace projectif de dimension finie quelconque sur un corps algébriquement clos. On en tire quelques corollaires

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19

Iebesh, Abdulhamid. "Interpolation of Yield curves." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-48968.

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In this thesis we survey several interpolation methods that are used to construct the yield curves. We also review the bootstrapping and show that the bootstrap is closely connected to the interpolation in the case of bootstrapping yield curve. The most effort is dedicated, in this thesis, on the monotone convex method and on investigation of the difficulties to get accurate yield curves.

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20

Eastwood, Alan. "Interpolation à plusieurs variables." Grenoble 2 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb37613442b.

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21

Miranda, Gerald N. "Interpolation weights of algebraic multigrid." Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1997. http://handle.dtic.mil/100.2/ADA334079.

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22

Gandhi, Sonia. "ENO interpolation for image compression." Diss., Connect to online resource, 2005. http://wwwlib.umi.com/cr/colorado/fullcit?p1425778.

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23

Subhan, Fazli. "Multilevel sparse kernel-based interpolation." Thesis, University of Leicester, 2011. http://hdl.handle.net/2381/9894.

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Radial basis functions (RBFs) have been successfully applied for the last four decades for fitting scattered data in Rd, due to their simple implementation for any d. However, RBF interpolation faces the challenge of keeping a balance between convergence performance and numerical stability. Moreover, to ensure good convergence rates in high dimensions, one has to deal with the difficulty of exponential growth of the degrees of freedom with respect to the dimension d of the interpolation problem. This makes the application of RBFs limited to few thousands of data sites and/or low dimensions in

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24

Arnesen, Martin. "The Generalized Empirical Interpolation Method." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2014. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-24676.

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The empirical interpolation method is an interpolation scheme with problem dependent basis functions and interpolation nodes, originally developed for parameter dependent functions. It was developed in connection with the reduced basis framework for fast evaluation of output from parameterized partial differential equations, but the procedure may be applicable to a variety of problems, such as image and pattern recognition, numerical integration and data compression. We present the theoretical background and implementation of the method, and give examples to verify exponential convergence for

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25

Asaturyan, Souren. "Shape preserving surface interpolation schemes." Thesis, University of Dundee, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.278368.

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26

Chen, Chengyuan. "Higher order fuzzy rule interpolation." Thesis, Aberystwyth University, 2015. http://hdl.handle.net/2160/28b8a37d-9833-4afb-b0c8-bef53749a9d2.

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Fuzzy inference is an effective means for representing and handling vagueness and imprecision. As a particular type of fuzzy inference, fuzzy rule interpolation enhances the performance of the inference when a given observation has no overlap with the antecedent values of any of the existing rules. In such cases, conventional fuzzy inference methods cannot derive a conclusion, but fuzzy rule interpolation methods can still obtain a certain conclusion. Unfortunately, very little of the existing work on fuzzy rule interpolation can conjunctively handle more than one form of uncertainty in the ru

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27

Yang, Longzhi. "Fuzzy interpolation and its adaptation." Thesis, Aberystwyth University, 2011. http://hdl.handle.net/2160/d24357c7-91a1-400d-83ce-23d1b1aa01cf.

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Fuzzy inference has been widely used to represent and manage the imprecision and incompleteness in commonsense reasoning with high performance and comprehensibility. Fuzzy interpolation, a particular type of fuzzy inference, strengthens the power of fuzzy inference in two respects. Firstly, it reduces system complexity by omitting those rules that can be approximated by their neighbouring ones. Secondly, it enhances the robustness of fuzzy systems by guaranteeing a certain conclusion always being generated. However, it is possible that multiple object values for a common variable are inferred

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28

Setterqvist, Eric. "Taut Strings and Real Interpolation." Doctoral thesis, Linköpings universitet, Matematik och tillämpad matematik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-132421.

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The taut string problem concerns finding the function with the shortest graph length, i.e. the taut string, in a certain set of continuous piecewise linear functions. It has appeared in a broad range of applications including statistics, image processing and economics. As it turns out, the taut string has besides minimal graph length also minimal energy and minimal total variation among the functions in Ω. The theory of real interpolation is based on Peetre’s K-functional. In terms of the K-functional, we introduce invariant K-minimal sets and show a close connection between taut strings and

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29

Nordenfors, Oskar. "The Riesz-Thorin Interpolation Theorem." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-149503.

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In this essay we present some elementary measure theory and some theory of Lp-spaces with the goal of proving the Riesz-Thorin interpolation theorem.<br>I denna uppsats presenteras grundläggande måtteori och något kring teorin om Lp-rum med målet att bevisa Riesz-Thorins interpolationssats.

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30

Dehlbom, Gustaf. "Interpolation of the yield curve." Thesis, Uppsala universitet, Tillämpad matematik och statistik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-423128.

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31

Severo, Franco. "Interpolation schemes in percolation theory." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASM004.

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Cette thèse fournit de nouveaux résultats concernant la transition de phase des modèles de percolation, en particulier la percolation de Bernoulli et les lignes de niveau du champ libre gaussien. La technique commune utilisée dans ces résultats consiste à comparer deux modèles de percolation différents en construisant une famille de modèles interpolant entre les deux. L’objectif principal de cette thèse est d’illustrer comment cette technique peut être appliquée dans un large contexte<br>This thesis provides new results concerning the phase transition of percolation models, specially Bernoulli

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32

Leung, Nim Keung. "Convexity-Preserving Scattered Data Interpolation." Thesis, University of North Texas, 1995. https://digital.library.unt.edu/ark:/67531/metadc277609/.

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Surface fitting methods play an important role in many scientific fields as well as in computer aided geometric design. The problem treated here is that of constructing a smooth surface that interpolates data values associated with scattered nodes in the plane. The data is said to be convex if there exists a convex interpolant. The problem of convexity-preserving interpolation is to determine if the data is convex, and construct a convex interpolant if it exists.

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33

Taylor, Rodney. "Lagrange interpolation on Leja points." [Tampa, Fla] : University of South Florida, 2008. http://purl.fcla.edu/usf/dc/et/SFE0002363.

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34

Dinh, Andreas. "Lokale Lagrange-Interpolation mit Splineoberflächen." [S.l. : s.n.], 2006. http://nbn-resolving.de/urn:nbn:de:bsz:180-madoc-13537.

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35

Martin, Peter. "Spatial interpolation in other dimensions /." Connect to this title online, 2004. http://hdl.handle.net/1957/4063.

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36

Good, Jennifer Rose. "Weighted interpolation over W*-algebras." Diss., University of Iowa, 2015. https://ir.uiowa.edu/etd/1843.

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An operator-theoretic formulation of the interpolation problem posed by Nevanlinna and Pick in the early twentieth century asks for conditions under which there exists a multiplier of a reproducing kernel Hilbert space that interpolates a specified set of data. Paul S. Muhly and Baruch Solel have shown that their theory for operator algebras built from W*-correspondences provides an appropriate context for generalizing this classic question. Their reproducing kernel W*-correspondences are spaces of functions that generalize the reproducing kernel Hilbert spaces. Their Nevanlinna-Pick interpola

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37

Dudziak, William James. "PRESENTATION AND ANALYSIS OF A MULTI-DIMENSIONAL INTERPOLATION FUNCTION FOR NON-UNIFORM DATA: MICROSPHERE PROJECTION." University of Akron / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=akron1183403994.

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38

Ermis, Evren [Verfasser], and Andreas [Akademischer Betreuer] Podelski. "Interpolation in software model checking and fault localization = Interpolation in Software Model Checking und Defektlokalisierung." Freiburg : Universität, 2014. http://d-nb.info/1123479259/34.

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39

Khosravan, Najafabadi Shohreh. "Optimal vector interpolation of asynoptic spatial survey of vector quantities for interpolating ADCP water velocity measurements." Thesis, University of Ottawa (Canada), 2006. http://hdl.handle.net/10393/27381.

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In fields of study such as geophysics and hydraulics, many random variables are vector quantities, not scalars. Vector quantities require statistical techniques that are independent of choice of coordinate system. In this research a new optimal vector interpolation method, suitable for interpolation of asynoptically measured spatial vector fields, was developed and tested. The new method was compared to scalar interpolation by kriging. The test data were spatial Acoustic Doppler Current Profiler (ADCP) surveys of depth average fluvial water velocity in reaches upstream and downstream of a brid

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40

Apel, Thomas, and Cornelia Pester. "Clément-type interpolation on spherical domains - interpolation error estimates and application to a posteriori error estimation." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601335.

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In this paper, a mixed boundary value problem for the Laplace-Beltrami operator is considered for spherical domains in $R^3$, i.e. for domains on the unit sphere. These domains are parametrized by spherical coordinates (\varphi, \theta), such that functions on the unit sphere are considered as functions in these coordinates. Careful investigation leads to the introduction of a proper finite element space corresponding to an isotropic triangulation of the underlying domain on the unit sphere. Error estimates are proven for a Clément-type interpolation operator, where appropriate, we

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41

Hecklin, Gero. "Interpolation mit bivariaten und trivariaten Splineräumen." [S.l.] : [s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=974189065.

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42

Facciolo, Furlan Gabriele. "Irregularly sampled image resortation and interpolation." Doctoral thesis, Universitat Pompeu Fabra, 2011. http://hdl.handle.net/10803/22714.

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The generation of urban digital elevation models from satellite images using stereo reconstruction techniques poses several challenges due to its precision requirements. In this thesis we study three problems related to the reconstruction of urban models using stereo images in a low baseline disposition. They were motivated by the MISS project, launched by the CNES (Centre National d'Etudes Spatiales), in order to develop a low baseline acquisition model. The first problem is the restoration of irregularly sampled images and image fusion using a band limited interpolation model. A

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Riehle, Thomas J. "Adaptive bilateral extensor for image interpolation." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4555.

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Thesis (M.S.)--University of Missouri-Columbia, 2006.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (February 23, 2007) Includes bibliographical references.

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Ounaïes, Myriam. "Interpolation dans les algèbres de Hörmander." Habilitation à diriger des recherches, Université Louis Pasteur - Strasbourg I, 2008. http://tel.archives-ouvertes.fr/tel-00338027.

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Nous traitons des problèmes d'interpolation dans les espaces ${\mathcal A}_p(\C)$ des fonctions entières telles que $\sup_{z\in \C}\vert f(z)\vert e^{-Bp(z)}<\infty$, où $p$ est une fonction poids et $B$ est une constante positive qui peut varier. Ces espaces sont des algèbres, qu'on appelle algèbres de Hörmander. Le problème peut être formulé de la manière suivante : étant donnée une suite discrète de nombres complexes $\{\alpha_j\}$ et une suite de valeurs complexes $\{w_j\}$ vérifiant $\sup_j\vert w_j\vert e^{-B'p(\alpha_j)}<\infty$ avec une certaine constante $B'>0$, à quelles conditions e

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45

Hartmann, Andreas. "Interpolation libre et opérateurs de Toeplitz." Habilitation à diriger des recherches, Université Sciences et Technologies - Bordeaux I, 2005. http://tel.archives-ouvertes.fr/tel-00281652.

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Les travaux présentés dans cette habilitation sont articulés autour d'un thème fédérateur : interpolation. Le cas le plus classique consiste à déterminer la trace d'un ensemble de fonctions sur un sous ensemble du domaine de définition commun de notre ensemble de fonctions intial. En particulier les aspects suivants seront étudiés.<br /><br />1) Interpolation simple : interpolation des valeurs en des points ;<br /><br />2) Interpolation généralisée : p.ex. interpolation des dérivées, interpolation sur des points proches, interpolation tangentielle, etc. ;<br /><br />3) Interpolation classique

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46

Shi, Feng. "Panorama interpolation for image-based navigation." Thesis, University of Ottawa (Canada), 2008. http://hdl.handle.net/10393/27607.

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This thesis presents methods for novel image synthesis from cubic panoramas taken with multi-sensor cameras. The pre-captured cubic panoramas are used to interpolate arbitrary views to allow a virtual walkthrough of the remote real environment. In our approach, the "transfer" and "triangulation" methods are adopted to analyse the geometry of cubic panoramas and recover an accurate essential matrix between cubes. To generate a novel view between two aligned cubes, a warping model is applied to warp cubes to approximate navigation. This technique, called cube warping, works by simplifying the mo

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47

Filipsson, Lars. "On polynomial interpolation and complex convexity /." Stockholm : Tekniska högsk, 1999. http://www.lib.kth.se/abs99/fili0604.pdf.

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48

Martin, Russell McAnally Ken. "Interpolation of head-related transfer functions." Fishermans Bend,Victoria : Defence Science and Technology Organisation, 2007. http://hdl.handle.net/1947/8028.

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49

Siu, Anthony. "Real time trajectory generation and interpolation." Thesis, University of British Columbia, 2011. http://hdl.handle.net/2429/35898.

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This thesis presents a continuous tool motion trajectory generation algorithm for high speed free form surface machining. A NURBS toolpath generation algorithm is presented to fit the discrete motion commands generated from free-form CAD-models. By using a NURBS representation of the machine part, the toolpath is interpolated continuously to direct the synchronized motion of the 5-axis CNC machine. The higher continuity of the motion trajectory allowed for tighter machining tolerances and reduced feedrate fluctuations and the undesired acceleration harmonics in the overall feed motion and in e

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50

Price, Jeffery Ray. "A framework for adaptive image interpolation." Diss., Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/13718.

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