Relevant bibliographies by topics / Cubic Spline

Academic literature on the topic 'Cubic Spline'

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Published: 4 June 2021
Last updated: 20 February 2023

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Journal articles on the topic "Cubic Spline"

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Xie, Jin, and Xiaoyan Liu. "The EH Interpolation Spline and Its Approximation." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/745765.

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A new interpolation spline with two parameters, called EH interpolation spline, is presented in this paper, which is the extension of the standard cubic Hermite interpolation spline, and inherits the same properties of the standard cubic Hermite interpolation spline. Given the fixed interpolation conditions, the shape of the proposed splines can be adjusted by changing the values of the parameters. Also, the introduced spline could approximate to the interpolated function better than the standard cubic Hermite interpolation spline and the quartic Hermite interpolation splines with single parameter by a new algorithm.
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Syafwan, Elvathna, Mahdhivan Syafwan, and Shandy Tresnawati. "Pengembangan Metode Interpolasi Splin Kubik Terapit dan Aplikasinya pada Masalah Pelacakan Trajektori Objek." Jurnal Teknologi Informasi dan Ilmu Komputer 9, no. 5 (October 31, 2022): 943. http://dx.doi.org/10.25126/jtiik.2022954612.

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<p class="Abstrak">Interpolasi splin kubik merupakan sebuah metode pencocokan kurva yang sangat populer karena mudah diterapkan dan menghasilkan kurva yang mulus. Pada artikel ini dibahas pengembangan metode interpolasi splin kubik untuk syarat batas terapit yang diambil dari rumus eksplisit beda hingga dengan ketelitian orde lebih tinggi. Pengembangan metode ini diterapkan pada masalah pelacakan trajektori objek (<em>object tracking</em>). Secara khusus, masalah ini diujikan untuk splin kubik terapit orde dua, dan hasil interpolasinya dibandingkan dengan hasil pada splin kubik alami dan splin kubik terapit orde satu. Dari simulasi data trajektori yang dibangkitkan dari kurva spiral Archimedean, diperoleh nilai galat total untuk splin kubik alami, terapit orde satu dan terapit orde dua masing-masing sebagai berikut: , dan . Berdasarkan hasil tersebut, disimpulkan bahwa interpolasi splin kubik terapit orde dua yang dikembangkan pada artikel ini dapat menghasilkan trajektori objek yang lebih akurat dibandingkan splin kubik alami dan splin kubik terapit orde satu.</p><p class="Abstrak"> </p><p class="Abstrak"><em><strong>Abstrract</strong></em></p><p class="Abstract"><em>Cubic spline interpolation is a very popular curve fitting method since it is easy to implement and produces a smooth curve. This article discusses the development of the cubic spline interpolation method for a clamped boundary condition taken from finite-difference explicit formulas with higher-order accuracy. The development of this method is applied to an object tracking problem. In particular, this problem is examined for second-order clamped cubic spline, and the interpolated results are compared with those for natural and first-order clamped cubic splines. From the simulation of trajectory data generated from the Archimedean spiral curve, the total error values for natural, first-order, and second-order clamped cubic splines are respectively , and . Based on these results, it is concluded that the second-order clamped cubic spline interpolation developed in this article can produce a more accurate object trajectory than the natural and first-order clamped cubic splines.</em></p><p class="Abstrak"><em><strong><br /></strong></em></p>
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Kumar, Arun, and L. K. Govil. "Interpolation of natural cubic spline." International Journal of Mathematics and Mathematical Sciences 15, no. 2 (1992): 229–34. http://dx.doi.org/10.1155/s0161171292000292.

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From the result in [1] it follows that there is a unique quadratic spline which bounds the same area as that of the function. The matching of the area for the cubic spline does not follow from the corresponding result proved in [2]. We obtain cubic splines which preserve the area of the function.
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Kirsiaed, Evely, Peeter Oja, and Gul Wali Shah. "CUBIC SPLINE HISTOPOLATION*." Mathematical Modelling and Analysis 22, no. 4 (July 3, 2017): 514–27. http://dx.doi.org/10.3846/13926292.2017.1329756.

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Cubic spline histopolation with arbitrary placement of histogram knots and spline knots between them is studied. Classical boundary conditions are used. Histopolating spline is represented with the help of second moments and particular integrals. The systems determining these parameters are investigated in different cases where diagonal dominance in matrices takes place or may be absent.
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Dube, Mridula, and Reenu Sharma. "Cubic TP B-Spline Curves with a Shape Parameter." International Journal of Engineering Research in Africa 11 (October 2013): 59–72. http://dx.doi.org/10.4028/www.scientific.net/jera.11.59.

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In this paper a new kind of splines, called cubic trigonometric polynomial B-spline (cubic TP B-spline) curves with a shape parameter, are constructed over the space spanned by As each piece of the curve is generated by three consecutive control points, they posses many properties of the quadratic B-spline curves. These trigonometric curves with a non-uniform knot vector are C1 and G2 continuous. They are C2 continuous when choosing special shape parameter for non-uniform knot vector. These curves are closer to the control polygon than the quadratic B-spline curves when choosing special shape parameters. With the increase of the shape parameter, the trigonometric spline curves approximate to the control polygon. The given curves posses many properties of the quadratic B-spline curves. The generation of tensor product surfaces by these new splines is straightforward.
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Strelkovskaya, Irina, Irina Solovskaya, and Juliya Strelkovska. "Application of real and complex splines in infocommunication problems." Problemi telekomunìkacìj, no. 1(28) (December 22, 2021): 3–19. http://dx.doi.org/10.30837/pt.2021.1.01.

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The work offers the solution to problems of analysis and synthesis of infocommunication systems with the help of real and complex spline functions. The use of the spline approximation method for solving problems of recovery of random signals and self-similar traffic, management of network objects and network as a whole, and procedures of infocommunication objects and networks functioning is offered. To solve the problems of forecasting, in particular, forecasting the characteristics of network traffic and maintaining the QoS characteristics in its service and formation of requirements for network buffer devices, developed spline extrapolation based on different types of real spline functions, namely: linear, quadratic, quadratic B-splines, cubic, cubic B-splines, cubic Hermite splines. As a criterion for choosing the type of spline function, the prediction error is selected, the accuracy of which can be increased by using a particular kind of spline, depending on the object being predicted. The use of complex flat spline functions is considered to solve the class of user positioning problems in the radio access network. In general, the use of real and complex spline functions allows obtaining the results of improving the Quality of Service in the infocommunication network and ensuring the scalability of the obtained solutions.
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Papamichael, N., and M. J. Soares. "Cubic and quintic spline-on-spline interpolation." Journal of Computational and Applied Mathematics 20 (November 1987): 359–66. http://dx.doi.org/10.1016/0377-0427(87)90153-1.

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Kim, Jung-Min, Eun-Kook Jung, and Sun-Shin Kim. "Simplification of Face Image using Cubic Spline Interpolation." Journal of Korean Institute of Intelligent Systems 20, no. 5 (October 25, 2010): 722–27. http://dx.doi.org/10.5391/jkiis.2010.20.5.722.

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Strelkovskaya, Irina, Irina Solovskaya, and Anastasiya Makoganiuk. "Spline-Extrapolation Method in Traffic Forecasting in 5G Networks." Journal of Telecommunications and Information Technology 3 (September 30, 2019): 8–16. http://dx.doi.org/10.26636/jtit.2019.134719.

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This paper considers the problem of predicting self-similar traffic with a significant number of pulsations and the property of long-term dependence, using various spline functions. The research work focused on the process of modeling self-similar traffic handled in a mobile network. A splineextrapolation method based on various spline functions (linear, cubic and cubic B-splines) is proposed to predict selfsimilar traffic outside the period of time in which packet data transmission occurs. Extrapolation of traffic for short- and long-term forecasts is considered. Comparison of the results of the prediction of self-similar traffic using various spline functions has shown that the accuracy of the forecast can be improved through the use of cubic B-splines. The results allow to conclude that it is advisable to use spline extrapolation in predicting self-similar traffic, thereby recommending this method for use in practice in solving traffic prediction-related problems.
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Rana, S. S., and M. Purohit. "Deficient cubic spline interpolation." Proceedings of the Japan Academy, Series A, Mathematical Sciences 64, no. 4 (1988): 111–14. http://dx.doi.org/10.3792/pjaa.64.111.

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Dissertations / Theses on the topic "Cubic Spline"

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Hassan, Mosavverul Meir Amnon J. "Constructing cubic splines on the sphere." Auburn, Ala., 2009. http://hdl.handle.net/10415/1790.

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GORDON, FABIANA. "FORECASTING DAILY LOAD DATA USING STRUCTURAL MODELS AND CUBIC SPLINE." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1996. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8325@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
Esta tese propõe um modelo para o tratamento de observações diárias e é aplicado na área do setor elétrico, no problema de previsão de carga horária. O modelo proposto é basicamente um modelo estrutural onde a sazonalidade anual (movimentos periódicos dentro do ano) é modelada utilizando a técnica de Splines. Esta técnica também é utilizada na estimação do efeito não linear de uma variável explicativa. O modelo desenvolvido nesta tese também leva em conta os feriados dada a grande influência dos mesmos no consumo de energia elétrica. A metodologia proposta é aplicada à três concessionárias do Sistema Interligado Brasileiro: LIGHT (Estado do Rio de Janeiro); CEMIG (Estado de Minas Gerais) e COPEL (Estado do Paraná). A estimação é levada a cabo utilizando o software STAMP conjuntamente com módulos desenvolvidos no utilitário MATLAB.
This thesis presents a model that deals with daily obsevations applied to the problem of forecasting daily elecricity demand. This approach is basaed on a structural time series model with the annual seasonal pattern being modelled by a Periodic Sppline. The methods of Splines was first used in Harvey and Koopman (1993) to analyse hourly load observations, including temperature used an explanatory variable which is also modelled by a Spline. The main contribuition of this thesis is the treatment of holidays and the temperature response modelled by a spline which considerss the possible vsariations that the effect of temperature has on electricity demand within the year. The methodology is applied to three companies of the Brazilian electrical system: LIGHT (State of Rio de Janeiro), CEMIG (State of Minas Gerais) and COPEL (state of Paraná).
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Tsao, Su-Ching 1961. "Evaluation of drug absorption by cubic spline and numerical deconvolution." Thesis, The University of Arizona, 1989. http://hdl.handle.net/10150/276954.

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A novel approach using smoothing cubic splines and point-area deconvolution to estimate the absorption kinetics of linear systems has been investigated. A smoothing cubic spline is employed as an interpolation function since it is superior to polynomials and other functions commonly used for representation of empirical data in several aspects. An advantage of the method is that results obtained from the same data set will be more consistent, irrespective of who runs the program or how many times you run it. In addition, no initial estimates are needed to run the program. The same sampling time or equally spaced measurement of unit impulse response and response of interest is not required. The method is compared with another method by using simulated data containing various degrees of random noise.
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Kaya, Hikmet Emre. "A comparative study between the cubic spline and b-spline interpolation methods in free energy calculations." Master's thesis, Faculty of Science, 2020. http://hdl.handle.net/11427/32228.

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Numerical methods are essential in computational science, as analytic calculations for large datasets are impractical. Using numerical methods, one can approximate the problem to solve it with basic arithmetic operations. Interpolation is a commonly-used method, inter alia, constructing the value of new data points within an interval of known data points. Furthermore, polynomial interpolation with a sufficiently high degree can make the data set differentiable. One consequence of using high-degree polynomials is the oscillatory behaviour towards the endpoints, also known as Runge's Phenomenon. Spline interpolation overcomes this obstacle by connecting the data points in a piecewise fashion. However, its complex formulation requires nested iterations in higher dimensions, which is time-consuming. In addition, the calculations have to be repeated for computing each partial derivative at the data point, leading to further slowdown. The B-spline interpolation is an alternative representation of the cubic spline method, where a spline interpolation at a point could be expressed as the linear combination of piecewise basis functions. It was proposed that implementing this new formulation can accelerate many scientific computing operations involving interpolation. Nevertheless, there is a lack of detailed comparison to back up this hypothesis, especially when it comes to computing the partial derivatives. Among many scientific research fields, free energy calculations particularly stand out for their use of interpolation methods. Numerical interpolation was implemented in free energy methods for many purposes, from calculating intermediate energy states to deriving forces from free energy surfaces. The results of these calculations can provide insight into reaction mechanisms and their thermodynamic properties. The free energy methods include biased flat histogram methods, which are especially promising due to their ability to accurately construct free energy profiles at the rarely-visited regions of reaction spaces. Free Energies from Adaptive Reaction Coordinates (FEARCF) that was developed by Professor Kevin J. Naidoo has many advantages over the other flat histogram methods. iii Because of its treatment of the atoms in reactions, FEARCF makes it easier to apply interpolation methods. It implements cubic spline interpolation to derive biasing forces from the free energy surface, driving the reaction towards regions with higher energy. A major drawback of the method is the slowdown experienced in higher dimensions due to the complicated nature of the cubic spline routine. If the routine is replaced by a more straightforward B-spline interpolation, sampling and generating free energy surfaces can be accelerated. The dissertation aims to perform a comparative study between the cubic spline interpolation and B-spline interpolation methods. At first, data sets of analytic functions were used instead of numerical data to compare the accuracy and compute the percentage errors of both methods by taking the functions themselves as reference. These functions were used to evaluate the performances of the two methods at the endpoints, inflections points and regions with a steep gradient. Both interpolation methods generated identically approximated values with a percentage error below the threshold of 1%, although they both performed poorly at the endpoints and the points of inflection. Increasing the number of interpolation knots reduced the errors, however, it caused overfitting in the other regions. Although significant speed-up was not observed in the univariate interpolation, cubic spline suffered from a drastic slowdown in higher dimensions with up to 103 in 3D and 105 in 4D interpolations. The same results applied to the classical molecular dynamics simulations with FEARCF with a speed-up of up to 103 when B-spline interpolation was implemented. To conclude, the B-spline interpolation method can enhance the efficiency of the free energy calculations where cubic spline interpolation has been the currently-used method.
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Matějka, Martin. "Analýza metod vyrovnání výnosových křivek." Master's thesis, Vysoká škola ekonomická v Praze, 2012. http://www.nusl.cz/ntk/nusl-165093.

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The thesis is focused on finding the most appropriate method for constructing the yield curve which will meet the criteria of Solvency II and also the selected evaluation criteria. An overview of advantages of each method is obtained by comparing these methods. Yield curves are constructed using the Czech interest rate swap data from 2007 to 2013. The selection of the evaluated methods respects their public availability and their practical application in life insurance or central banks. This thesis is divided into two parts. The first part describes the theoretical background which is necessary to understand the examined issues. In the second part the analysis of selected methods was carried out with detailed evaluation.
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Chen, Eva T. "Estimation of the term structure of interest rates via cubic exponential spline functions." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu1279824799.

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Mawk, Russell Lynn. "A survey of applications of spline functions to statistics." [Johnson City, Tenn. : East Tennessee State University], 2001. http://etd-submit.etsu.edu/etd/theses/available/etd-0714101-104229/restricted/mawksr0809.pdf.

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Negron, Luis G. "Initial-value technique for singularly perturbed two point boundary value problems via cubic spline." Master's thesis, University of Central Florida, 2010. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4597.

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A recent method for solving singular perturbation problems is examined. It is designed for the applied mathematician or engineer who needs a convenient, useful tool that requires little preparation and can be readily implemented using little more than an industry-standard software package for spreadsheets. In this paper, we shall examine singularly perturbed two point boundary value problems with the boundary layer at one end point. An initial-value technique is used for its solution by replacing the problem with an asymptotically equivalent first order problem, which is, in turn, solved as an initial value problem by using cubic splines. Numerical examples are provided to show that the method presented provides a fine approximation of the exact solution. The first chapter provides some background material to the cubic spline and boundary value problems. The works of several authors and a comparison of different solution methods are also discussed. Finally, some background into the specific singularly perturbed boundary value problems is introduced. The second chapter contains calculations and derivations necessary for the cubic spline and the initial value technique which are used in the solutions to the boundary value problems. The third chapter contains some worked numerical examples and the numerical data obtained along with most of the tables and figures that describe the solutions. The thesis concludes with some reflections on the results obtained and some discussion of the error bounds on the calculated approximations to the exact solutions for the numeric examples discussed.
ID: 029051011; System requirements: World Wide Web browser and PDF reader.; Mode of access: World Wide Web.; Thesis (M.S.)--University of Central Florida, 2010.; Includes bibliographical references (p. 48-50).
M.S.
Masters
Department of Mathematics
Sciences
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Arise, Pavan Kumar. "A DEVELOPMENT OF A COMPUTER AIDED GRAPHIC USER INTERFACE POSTPROCESSOR FOR ROTOR BEARING SYSTEMS." UKnowledge, 2004. http://uknowledge.uky.edu/gradschool_theses/326.

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Rotor dynamic analysis, which requires extensive amount of data and rigorous analytical processing, has been eased by the advent of powerful and affordable digital computers. By incorporating the processor and a graphical interface post processor in a single set up, this program offers a consistent and efficient approach to rotor dynamic analysis. The graphic user interface presented in this program effectively addresses the inherent complexities of rotor dynamic analyses by linking the required computational algorithms together to constitute a comprehensive program by which input data and the results are exchanged, analyzed and graphically plotted with minimal effort by the user. Just by selecting an input file and appropriate options as required, the user can carry out a comprehensive rotor dynamic analysis (synchronous response, stability analysis, critical speed analysis with undamped map) of a particular design and view the results with several options to save the plots for further verification. This approach helps the user to modify the design of turbomachinery quickly, until an efficient design is reached, with minimal compromise in all aspects.
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Liu, Chunyan. "A comparison of statistics for selecting smoothing parameters for loglinear presmoothing and cubic spline postsmoothing under a random groups design." Diss., University of Iowa, 2011. https://ir.uiowa.edu/etd/1013.

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Smoothing techniques are designed to improve the accuracy of equating functions. The main purpose of this dissertation was to propose a new statistic (CS) and compare it to existing model selection strategies in selecting smoothing parameters for polynomial loglinear presmoothing (C) and cubic spline postsmoothing (S) for mixed-format tests under a random groups design. For polynomial loglinear presmoothing, CS was compared to seven existing model selection strategies in selecting the C parameters: likelihood ratio chi-square test (G2), Pearson chi-square test (PC), likelihood ratio chi-square difference test (G2diff), Pearson chi-square difference test (PCdiff), Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), and Consistent Akaike Information Criterion (CAIC). For cubic spline postsmoothing, CS was compared to the ± 1 standard error of equating (± 1 SEE) rule. In this dissertation, both the pseudo-test data, Biology long and short, and Environmental Science long and short, and the simulated data were used to evaluate the performance of the CS statistic and the existing model selection strategies. For both types of data, sample sizes of 500, 1000, 2000, and 3000 were investigated. In addition, No Equating Needed conditions and Equating Needed conditions were investigated for the simulated data. For polynomial loglinear presmoothing, mean absolute difference (MAD), average squared bias (ASB), average squared error (ASE), and mean squared errors (MSE) were computed to evaluate the performance of all model selection strategies based on three sets of criteria: cumulative relative frequency distribution (CRFD), relative frequency distribution (RFD), and the equipercentile equating relationship. For cubic spline postsmoothing, the evaluation of different model selection procedures was only based on the MAD, ASB, ASE, and MSE of equipercentile equating. The main findings based on the pseudo-test data and simulated data were as follows: (1) As sample sizes increased, the average C values increased and the average S values decreased for all model selection strategies. (2) For polynomial loglinear presmoothing, compared to the results without smoothing, all model selection strategies always introduced bias of RFD and significantly reduced the standard errors and mean squared errors of RFD; only AIC reduced the MSE of CRFD and MSE of equipercentile equating across all sample sizes and all test forms; the best CS procedure tended to yield an equivalent or smaller MSE of equipercentile equating than the AIC and G2diff statistics. (3) For cubic spline postsmoothing, both the ± 1 SEE rule and the CS procedure tended to perform reasonably well in reducing the ASE and MSE of equipercentile equating. (4) Among all existing model selection strategies, the ±1 SEE rule in postsmoothing tended to perform better than any of the seven existing model selection strategies in presmoothing in terms of the reduction of random error and total error; (5) pseudo-test data and the simulated data tended to yield similar results. The limitations of the study and possible future research are discussed in the dissertation.
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Books on the topic "Cubic Spline"

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Hastie, Trevor. Generalized additive models, cubic splines and personalized likelihood. Toronto: University of Toronto, Dept. of Statistics, 1987.

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Papamichael, Nicholas. An O(h6) cubic spline interpolating procedure for harmonic functions. Uxbridge, Middx: Department of Mathematics and Statistics, Brunel University, 1989.

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Brunnett, Guido. Elastic curves on the sphere. Monterey, Calif: Naval Postgraduate School, 1992.

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Papamichael, N. A class of cubic and quintic spline modified collocation methods for the solution of two-point boundary value problems. Uxbridge: Brunel University, Department of Mathematics and Statistics, 1987.

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Knott, Gary D. Interpolating Cubic Splines. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1320-8.

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Pollock, S. Smoothing with cubic splines. London: London University, Queen Mary and Westfield College, Department of Economics, 1993.

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Liu, Chun. Geometric control of rational cubic B-splines. Birmingham: University of Birmingham, 1998.

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Sarfraz, Muhammad. The representation of curves and surfaces in computer aided geometric design using rational cubic splines. Uxbridge: Brunel University, 1990.

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Soares, Maria Joana. A posteriori corrections for cubic and quintic interpolating splines with applications to the solution of two-point boundary value problems. Uxbridge: Brunel University, 1986.

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Tuen, Tuen. Characterization of the best approximations by classic cubic splines. 1990.

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Book chapters on the topic "Cubic Spline"

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Knott, Gary D. "Two Spline Programs." In Interpolating Cubic Splines, 159–91. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1320-8_15.

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Knott, Gary D. "Cubic Spline Vector Space Basis Functions." In Interpolating Cubic Splines, 143–55. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1320-8_13.

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Knott, Gary D. "Λ-Spline Curves With Range Dimension d." In Interpolating Cubic Splines, 75–76. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1320-8_6.

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Sablonnière, P., D. Sbibih, and M. Tahrichi. "Chordal Cubic Spline Quasi Interpolation." In Curves and Surfaces, 603–11. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27413-8_40.

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Averbuch, Amir Z., Pekka Neittaanmäki, and Valery A. Zheludev. "Cubic Local Splines on Non-uniform Grid." In Spline and Spline Wavelet Methods with Applications to Signal and Image Processing, 115–26. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22303-2_6.

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Wang, Yijie Dylan, and C. F. Jeff Wu. "Bayesian Cubic Spline in Computer Experiments." In Handbook of Uncertainty Quantification, 477–95. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-12385-1_69.

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Wang, Yijie Dylan, and C. F. Jeff Wu. "Bayesian Cubic Spline in Computer Experiments." In Handbook of Uncertainty Quantification, 1–19. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-11259-6_69-1.

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Cheng, Fuhua, and Brian A. Barsky. "Interproximation using Cubic B-Spline Curves." In Modeling in Computer Graphics, 359–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-78114-8_22.

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Wang, Zhijiang, Kaili Wang, and Shujiang An. "Cubic B-Spline Interpolation and Realization." In Communications in Computer and Information Science, 82–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-27503-6_12.

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Yusoff, W. R. W., I. Ishak, and F. R. M. Romlay. "Cubic Spline Interpolations in CNC Machining." In Lecture Notes in Electrical Engineering, 253–61. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4597-3_24.

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Conference papers on the topic "Cubic Spline"

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Wolber and Alfy. "Monotonic cubic spline interpolation." In Proceedings Computer Graphics International CGI-99. IEEE, 1999. http://dx.doi.org/10.1109/cgi.1999.777953.

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Chand, A. K. B., and P. Viswanathan. "Cubic hermite and cubic spline fractal interpolation functions." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756439.

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Chanthrasuwan, Maveeka, Nur Asreenawaty Mohd Asri, Nur Nadiah Abd Hamid, Ahmad Abd Majid, and Amirah Azmi. "Solving Buckmaster equation using cubic B-spline and cubic trigonometric B-spline collocation methods." In PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Mathematical Sciences Exploration for the Universal Preservation. Author(s), 2017. http://dx.doi.org/10.1063/1.4995859.

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Yoon, Kooyoung, and S. S. Rao. "Cam Motion Synthesis Using Cubic Splines." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0129.

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Abstract:
Abstract The application of minimum norm principle, similar to the principle of minimum potential energy, is presented for the general synthesis of cam motion. The approach involves the use of piecewise cubic spline functions for representing the follower displacement. The cubic splines are more convenient and simpler to use compared to general spline functions and also result in smaller peak acceleration and jerk due to the application of the minimum norm principle. A general procedure is presented for application to any cam-follower system. The effectiveness of the approach is illustrated by comparing the results given by the present method with those given by other approaches for a disk cam-translating follower.
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Lin, Shu-Chen, Kevin Chuang, and Jau-Horng Chen. "Efficient Implementation of Cubic Spline Interpolator." In 2020 IEEE Radio and Wireless Symposium (RWS). IEEE, 2020. http://dx.doi.org/10.1109/rws45077.2020.9050039.

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Farid, M. Shahid, Hassan Khan, and Arif Mahmood. "Image inpainting using cubic hermit spline." In 2011 International Conference on Graphic and Image Processing. SPIE, 2011. http://dx.doi.org/10.1117/12.913301.

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Sinthanayothin, C., and W. Bholsithi. "3D facial deformable using cubic spline and Thin Plate Spline." In 2009 6th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON). IEEE, 2009. http://dx.doi.org/10.1109/ecticon.2009.5137137.

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Rahan, Nur Nadiah Mohd, Siti Noor Shahira Ishak, Nur Nadiah Abd Hamid, Ahmad Abd Majid, and Amirah Azmi. "Solving nonlinear Benjamin-Bona-Mahony equation using cubic B-spline and cubic trigonometric B-spline collocation methods." In THE 4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES: Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society. Author(s), 2017. http://dx.doi.org/10.1063/1.4980895.

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Yang Lian, Chen Guohua, and Li Juncheng. "Trigonometric extension of cubic B-spline curves." In 2011 3rd International Conference on Computer Research and Development (ICCRD). IEEE, 2011. http://dx.doi.org/10.1109/iccrd.2011.5764160.

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Meng Tian. "A shape preserving rational cubic interpolation spline." In 2010 2nd International Conference on Information Science and Engineering (ICISE). IEEE, 2010. http://dx.doi.org/10.1109/icise.2010.5689166.

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Reports on the topic "Cubic Spline"

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Fearon, M. Finding the cubic smoothing spline function by scale invariants. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1990. http://dx.doi.org/10.4095/128121.

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Castillo, Victor Manuel. Cubic Spline Collocation Method for the Simulation of Turbulent Thermal Convection in Compressible Fluids. Office of Scientific and Technical Information (OSTI), January 1999. http://dx.doi.org/10.2172/15014452.

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Birchler, W. D., and S. A. Schilling. Comparisons of Wilson-Fowler and Parametric Cubic Splines with the Curve-Fitting Algorithms of Several Computer-Aided Design Systems. Office of Scientific and Technical Information (OSTI), February 2001. http://dx.doi.org/10.2172/776180.

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