Relevant bibliographies by topics / Interpolation

Contents

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

Academic literature on the topic 'Interpolation'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Interpolation"

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Earshia V., Diana, and Sumathi M. "Interpolation of Low-Resolution Images for Improved Accuracy Using an ANN Quadratic Interpolator." International Journal on Recent and Innovation Trends in Computing and Communication 11, no. 4s (2023): 135–40. http://dx.doi.org/10.17762/ijritcc.v11i4s.6319.

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The era of digital imaging has transitioned into a new one. Conversion to real-time, high-resolution images is considered vital. Interpolation is employed in order to increase the number of pixels per image, thereby enhancing spatial resolution. Interpolation's real advantage is that it can be deployed on user end devices. Despite raising the number of pixels per inch to enhances the spatial resolution, it may not improve the image's clarity, hence diminishing its quality. This strategy is designed to increase image quality by enhancing image sharpness and spatial resolution simultaneously. Pr
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Gashnikov, M. V. "Parameterized interpolation for fusion of multidimensional signals of various resolutions." Computer Optics 44, no. 3 (2020): 436–40. http://dx.doi.org/10.18287/2412-6179-co-696.

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Parameterized interpolation algorithms are adapted to fusion of multidimensional signals of various resolutions. Interpolating functions, switching rules for them and local features are specified, based on which the interpolating function is selected at each point of the signal. Parameterized interpolation algorithms are optimized based on minimizing the interpolation error. The recurrent interpolator optimization scheme is considered for the situation of inaccessibility of interpolated samples at the stage of setting up the interpolation procedure. Computational experiments are carried out to
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Xu, Weizhi. "Elements of Bi-cubic Polynomial Natural Spline Interpolation for Scattered Data: Boundary Conditions Meet Partition of Unity Technique." Statistics, Optimization & Information Computing 8, no. 4 (2020): 994–1010. http://dx.doi.org/10.19139/soic-2310-5070-1083.

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This paper investigates one kind of interpolation for scattered data by bi-cubic polynomial natural spline, in which the integral of square of partial derivative of two orders to x and to y for the interpolating function is minimal (with natural boundary conditions). Firstly, bi-cubic polynomial natural spline interpolations with four kinds of boundary conditions are studied. By the spline function methods of Hilbert space, their solutions are constructed as the sum of bi-linear polynomials and piecewise bi-cubic polynomials. Some properties of the solutions are also studied. In fact, bi-cubic
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Parker, Joshua, Dionne Ibarra, and David Ober. "Logarithm-Based Methods for Interpolating Quaternion Time Series." Mathematics 11, no. 5 (2023): 1131. http://dx.doi.org/10.3390/math11051131.

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In this paper, we discuss a modified quaternion interpolation method based on interpolations performed on the logarithmic form. This builds on prior work that demonstrated this approach maintains C2 continuity for prescriptive rotation. However, we develop and extend this method to descriptive interpolation, i.e., interpolating an arbitrary quaternion time series. To accomplish this, we provide a robust method of taking the logarithm of a quaternion time series such that the variables θ and n^ have a consistent and continuous axis-angle representation. We then demonstrate how logarithmic quate
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Etherington, Thomas R. "Discrete natural neighbour interpolation with uncertainty using cross-validation error-distance fields." PeerJ Computer Science 6 (July 13, 2020): e282. http://dx.doi.org/10.7717/peerj-cs.282.

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Interpolation techniques provide a method to convert point data of a geographic phenomenon into a continuous field estimate of that phenomenon, and have become a fundamental geocomputational technique of spatial and geographical analysts. Natural neighbour interpolation is one method of interpolation that has several useful properties: it is an exact interpolator, it creates a smooth surface free of any discontinuities, it is a local method, is spatially adaptive, requires no statistical assumptions, can be applied to small datasets, and is parameter free. However, as with any interpolation me
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Gashnikov, M. V. "Interpolation based on context modeling for hierarchical compression of multidimensional signals." Computer Optics 42, no. 3 (2018): 468–75. http://dx.doi.org/10.18287/2412-6179-2018-42-3-468-475.

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Context algorithms for interpolation of multidimensional signals in the compression problem are researched. A hierarchical compression method for arbitrary dimension signals is considered. For this method, an interpolation algorithm based on the context modeling is proposed. The algorithm is based on optimizing parameters of the interpolating function in a local neighborhood of the interpolated sample. At the same time, locally optimal parameters found for more decimated scale signal levels are used to interpolate samples of less decimated scale signal levels. The context interpolation algorit
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Richard, William D., and R. Martin Arthur. "Real-Time Ultrasonic Scan Conversion via Linear Interpolation of Oversampled Vectors." Ultrasonic Imaging 16, no. 2 (1994): 109–23. http://dx.doi.org/10.1177/016173469401600204.

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Scan conversion is required in order to display conventional B-mode ultrasonic signals, which are acquired along radii at varying angles, on standard Cartesian-coordinate video monitors. For real-time implementations, either nearest-neighbor or bilinear interpolation is usually used in scan conversion. If the sampling rate along each radius is high enough, however, the gray-scale value of a given pixel can be interpolated accurately using the nearest samples on two adjacent vectors. The required interpolation then reduces to linear interpolation. Oversampling by a factor of 2 along with linear
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Arana, Daniel, Fabricio dos Santos Prol, Paulo de Oliveira Camargo, and Gabriel do Nascimento Guimarães. "ERRORS MEASUREMENT OF INTERPOLATION METHODS FOR GEOID MODELS: STUDY CASE IN THE BRAZILIAN REGION." Boletim de Ciências Geodésicas 24, no. 1 (2018): 44–57. http://dx.doi.org/10.1590/s1982-21702018000100004.

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Abstract: The geoid is an equipotential surface regarded as the altimetric reference for geodetic surveys and it therefore, has several practical applications for engineers. In recent decades the geodetic community has concentrated efforts on the development of highly accurate geoid models through modern techniques. These models are supplied through regular grids which users need to make interpolations. Yet, little information can be obtained regarding the most appropriate interpolation method to extract information from the regular grid of geoidal models. The use of an interpolator that does
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Shen, Hai Ming, Kun Qi Wang, and Yong You Tian. "Design of Interpolation Algorithm in the Multi-Axis Motion Control System." Advanced Materials Research 411 (November 2011): 259–63. http://dx.doi.org/10.4028/www.scientific.net/amr.411.259.

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This paper describes an interpolation algorithm in the multi-axis motion control system, which can achieve six-axis interpolation operations, greatly improving the processing efficiency. Using modular design idea on the Quartus II platform, by DDA interpolation theory, interpolation modules are built through VHDL. And these interpolator modules are connected into schematic diagrams. By those schematic diagrams a linear interpolator, a circular interpolator and a composite interpolator are formed. The corresponding functions of those interpolators have been simulated on the Quartus II platform.
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Barker, Paul M., and Trevor J. McDougall. "Two Interpolation Methods Using Multiply-Rotated Piecewise Cubic Hermite Interpolating Polynomials." Journal of Atmospheric and Oceanic Technology 37, no. 4 (2020): 605–19. http://dx.doi.org/10.1175/jtech-d-19-0211.1.

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AbstractTwo interpolation methods are presented, both of which use multiple Piecewise Cubic Hermite Interpolating Polynomials (PCHIPs). The first method is based on performing 16 PCHIPs on 8 rotated versions of the plot of the data versus an independent variable (such as pressure or time). These 16 PCHIPs are then used to form 8 interpolations of the original data, and finally, these 8 are averaged. When the original data are unevenly spaced with respect to the independent variable, we show that it is best to perform the Multiply-Rotated PCHIP (MR-PCHIP) method using the “data index” as the in
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Dissertations / Theses on the topic "Interpolation"

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

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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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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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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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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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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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Books on the topic "Interpolation"

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A, Brudnyĭ I͡U. Interpolation functors and interpolation spaces. North-Holland, 1991.

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Mastroianni, Giuseppe, and Gradimir V. Milovanović. Interpolation Processes. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-68349-0.

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Lunardi, Alessandra. Interpolation Theory. Scuola Normale Superiore, 2018. http://dx.doi.org/10.1007/978-88-7642-638-4.

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Bennett, Colin. Interpolation of operators. Academic Press, 1987.

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Lorentz, Rudolph A. Multivariate Birkhoff Interpolation. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0088788.

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Karl, Maurer. Interpolation in Thucydides. E.J. Brill, 1995.

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Lorentz, Rudoph A. Multivariate Birkhoff interpolation. New York, 1992.

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Bennett, Colin. Interpolation of operators. Academic Press, 1988.

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Stein, Michael L. Interpolation of Spatial Data. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1494-6.

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Dym, H., V. Katsnelson, B. Fritzsche, and B. Kirstein, eds. Topics in Interpolation Theory. Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8944-5.

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Book chapters on the topic "Interpolation"

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Peuter, Dennis, Viorica Sofronie-Stokkermans, and Sebastian Thunert. "On P-Interpolation in Local Theory Extensions and Applications to the Study of Interpolation in the Description Logics $$\mathcal{E}\mathcal{L}, \mathcal{E}\mathcal{L}^+$$." In Automated Deduction – CADE 29. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-38499-8_24.

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AbstractWe study the P-interpolation property for certain local theory extensions, and use these results for proving $$\le $$ ≤ -interpolation in classes of semilattices with monotone operators. For computing the $$\le $$ ≤ -interpolating terms, we use a hierarchic approach. We use these results for the study of $$\sqsubseteq $$ ⊑ -interpolation in the description logics $$\mathcal{E}\mathcal{L}$$ E L and $$\mathcal{E}\mathcal{L}^+$$ E L + .
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Siemon, Klaus Dieter. "Interpolation." In HOAI-Praxis bei Architektenleistungen. Vieweg+Teubner Verlag, 2004. http://dx.doi.org/10.1007/978-3-322-93967-8_7.

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Schwarz, Hans Rudolf. "Interpolation." In Numerische Mathematik. Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-322-94127-5_3.

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Opfer, Gerhard. "Interpolation." In Numerische Mathematik für Anfänger. Vieweg+Teubner Verlag, 2002. http://dx.doi.org/10.1007/978-3-322-94286-9_3.

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Opfer, Gerhard. "Interpolation." In Numerische Mathematik für Anfänger. Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-322-94301-9_3.

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Kress, Rainer. "Interpolation." In Graduate Texts in Mathematics. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0599-9_8.

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Stoyan, Gisbert, and Agnes Baran. "Interpolation." In Compact Textbooks in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44660-8_6.

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Stoer, J., and R. Bulirsch. "Interpolation." In Introduction to Numerical Analysis. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4757-2272-7_2.

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Vince, John. "Interpolation." In Mathematics for Computer Graphics. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6290-2_8.

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Opfer, Gerhard. "Interpolation." In Numerische Mathematik für Anfänger. Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-663-00144-7_3.

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Conference papers on the topic "Interpolation"

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Adhikary, N., and B. Gurumoorthy. "Smooth Surface Interpolation With Multiple Patches." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8555.

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Abstract This paper addresses the problem of interpolating point data with multiple patches. The specific issue addressed in this paper is the continuity between the patches used for interpolation. The procedure described in this paper maintains continuity by introducing an intermediate patch between the two patches used for interpolating the point data. This patch is formed by several Bezier patches that maintain continuity with the corresponding Bezier patches obtained by repeated knot insertion in the two interpolating patches. The blending Bezier patches are then converted to a blending B-
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Moetakef Imani, Behnam, and Amirmohammad Ghandehariun. "Look-Ahead NURBS-PH Interpolation for High Speed CNC Machining." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24426.

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Various methods for parametric interpolation of NURBS curves have been proposed in the past. However, the errors caused by the approximate nature of the NURBS interpolator were rarely taken into account. This paper proposes an integrated look-ahead algorithm for parametric interpolation along NURBS curves. The algorithm interpolates the sharp corners on the curve with the Pythagorean-hodograph (PH) interpolation. This will minimize the geometric and interpolator approximation errors simultaneously. The algorithm consists of four different modules: a sharp corner detection module, a PH construc
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Ge, Q. J., Amitabh Varshney, Jai P. Menon, and Chu-Fei Chang. "Double Quaternions for Motion Interpolation." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/dfm-5755.

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Abstract This paper describes the concept of double quaternions, an extension of quaternions, and shows how they can be used for effective three-dimensional motion interpolation. Motion interpolation using double quaternions has several advantages over the method of interpolating rotation and translation independently and then combining the results. First, double quaternions provide a conceptual framework that allows one to handle rotational and translational components in a unified manner. Second, results obtained by using double quaternions are coordinate frame invariant. Third, double quate
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Chen, Chih-Hsin. "A Surface Interpolation Scheme Based on the Theory of Conjugate Surfaces." In ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium collocated with the ASME 1994 Design Technical Conferences. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/cie1994-0455.

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Abstract A surface interpolation scheme is described for interpolating an array of knot points and normals. The scheme is based on the generation of interpolation surface patches by envelopment of a moving base plane which is fixed in the end effector of a robot of two revolute pairs and one prismatic pair. The initial values, the control values, and the interpolation functions of the robot motion are discussed. The equations for determining the geometrical values of an interpolation point are derived with the aid of the theory of conjugate surfaces, and are arranged in order of the correspond
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Luo, Wen, Jinbo Liu, Zengrui Li, and Jiming Song. "High Order Interpolation Error Analysis Based on Triangular Interpolations." In 2020 IEEE International Conference on Computational Electromagnetics (ICCEM). IEEE, 2020. http://dx.doi.org/10.1109/iccem47450.2020.9219341.

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Yudilevich, E., and Henry Stark. "Interpolation from samples on a linear spiral scan." In OSA Annual Meeting. Optica Publishing Group, 1987. http://dx.doi.org/10.1364/oam.1987.tuh5.

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An interpolation method useful for reconstructing an image from its Fourier plane samples on a linear spiral scan trajectory is presented. This kind of sampling arises in NMR imaging. We first present a theorem that enables exact interpolation from spiral samples to a Cartesian lattice. We then investigate two practical implementations of the theorem in which a finite number of interpolating points are used to calculate the value at a new point. Our experimental results confirm the theorem’s validity and also demonstrate that both practical implementations yield very good reconstructions. Thus
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Ning, Lihua, and Kelu Luo. "An Interpolation Based on Cubic Interpolation Algorithm." In Proceedings of the International Conference. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812799524_0391.

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Condat, L., T. Blu, and M. Unser. "Beyond interpolation: optimal reconstruction by quasi-interpolation." In 2005 International Conference on Image Processing. IEEE, 2005. http://dx.doi.org/10.1109/icip.2005.1529680.

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Loduha, T. A., and B. Ravani. "Motion Interpolation Using Dynamics." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0059.

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Abstract In this paper we present a method for dynamically interpolating the motion of a rigid body in space between known end-positions. We begin by creating an image space representation of the equations of motion for a rigid body. These equations are written as a system of first-order state equations whose trajectory is optimized based on the minimization of a certain performance index. This leads to a set of boundary-value equations between the end positions, which when solved give the interpolated motion. Finally, a program developed to perform such interpolations numerically is utilized
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Loh, Woong-Kee, Sang-Wook Kim, and Kyu-Young Whang. "Index interpolation." In the ninth international conference. ACM Press, 2000. http://dx.doi.org/10.1145/354756.354856.

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Reports on the topic "Interpolation"

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Nolting, J., and U. Yang. Improving Interpolation in BoomerAMG. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/894324.

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Fritsch, F. N. The LEOS Interpolation Package. Office of Scientific and Technical Information (OSTI), 2003. http://dx.doi.org/10.2172/15005830.

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De Boor, Carl, and Amos Ron. On Multivariate Polynomial Interpolation. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada204099.

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Foley, T. A. Scattered data interpolation codes. Office of Scientific and Technical Information (OSTI), 1985. http://dx.doi.org/10.2172/5936369.

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Chen, Qi, and Ivo Babuska. Polynomial Interpolation and Approximation of Real Functions 2: Symmetrical Interpolation for the Triangle. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada277345.

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Gammel, J. Tinka. EOS Interpolation and Thermodynamic Consistency. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1226141.

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Miller, Walter F. Short-Term Hourly Temperature Interpolation. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada240489.

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Kingston, A. W., A. Mort, C. Deblonde, and O H Ardakani. Hydrogen sulfide (H2S) distribution in the Triassic Montney Formation of the Western Canadian Sedimentary Basin. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/329797.

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The Montney Formation is a highly productive hydrocarbon reservoir with significant reserves of hydrocarbon gases and liquids making it of great economic importance to Canada. However, high concentrations of hydrogen sulfide (H2S) have been encountered during exploration and development that have detrimental effects on environmental, health, and economics of production. H2S is a highly toxic and corrosive gas and therefore it is essential to understand the distribution of H2S within the basin in order to enhance identification of areas with a high risk of encountering elevated H2S concentratio
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Carnegie, D. W. Interpolation of Hall probe calibration data. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/87840.

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Tannenbaum, Allen. An Interpolation Theoretic Approach to Control. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada281465.

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