Relevant bibliographies by topics / Cubic spline function

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Academic literature on the topic 'Cubic spline function'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 February 2022

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Journal articles on the topic "Cubic spline function"

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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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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 param
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Vijayakumar, Hannah. "Two-piece Cubic Spline Functions." Mapana - Journal of Sciences 2, no. 1 (2003): 25–33. http://dx.doi.org/10.12723/mjs.3.2.

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.M Prenter defines a cubic Spline function in an interval [a, b] as a piecewise cubic polynomial which is twice continuously differentiable in the entire interval [a, b]. The smooth cubic spline functions fitting the given data are the most popular spline functions and when used for interpolation, they do not have the oscillatory behavior which characterized high-degree polynomials. The natural spline has been shown to be unique function possessing the minimum curvature property of all functions interpolating the data and having square integrable second derivative. In this sense, the natural c
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CHAND, A. K. B. "NATURAL CUBIC SPLINE COALESCENCE HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES." Fractals 20, no. 02 (2012): 117–31. http://dx.doi.org/10.1142/s0218348x12500119.

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Fractal interpolation functions provide a new light to the natural deterministic approximation and modeling of complex phenomena. The present paper proposes construction of natural cubic spline coalescence hidden variable fractal interpolation surfaces (CHFISs) over a rectangular grid [Formula: see text] through the tensor product of univariate bases of cardinal natural cubic spline coalescence hidden variable fractal interpolation functions (CHFIFs). Natural cubic CHFISs are self-affine or non-self-affine in nature depending on the IFS parameters of univariate natural cubic spline CHFIFs. An
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WANG, GANG, XIAN-YAO CHEN, FANG-LI QIAO, ZHAOHUA WU, and NORDEN E. HUANG. "ON INTRINSIC MODE FUNCTION." Advances in Adaptive Data Analysis 02, no. 03 (2010): 277–93. http://dx.doi.org/10.1142/s1793536910000549.

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Empirical Mode Decomposition (EMD) has been widely used to analyze non-stationary and nonlinear signal by decomposing data into a series of intrinsic mode functions (IMFs) and a trend function through sifting processes. For lack of a firm mathematical foundation, the implementation of EMD is still empirical and ad hoc. In this paper, we prove mathematically that EMD, as practiced now, only gives an approximation to the true envelope. As a result, there is a potential conflict between the strict definition of IMF and its empirical implementation through natural cubic spline. It is found that th
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MacCarthy, B. L., and N. D. Burns. "An Evaluation of Spline Functions for use in Cam Design." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 199, no. 3 (1985): 239–48. http://dx.doi.org/10.1243/pime_proc_1985_199_118_02.

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This paper shows how spline functions can be employed for kinematic motion specification in cam design. The polynomial spline is introduced as a special case of a continuous piecewise function. Cubic and quintic splines are derived and their properties are discussed in the cam design context. It is shown how standard cam laws can be approximated extremely accurately with a small number of points and appropriate boundary conditions. The modified sinusoidal acceleration cam law is used as an example. The application of quintic splines to non-standard and special motions is discussed. The algebra
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CHAND, A. K. B., and G. P. KAPOOR. "CUBIC SPLINE COALESCENCE FRACTAL INTERPOLATION THROUGH MOMENTS." Fractals 15, no. 01 (2007): 41–53. http://dx.doi.org/10.1142/s0218348x07003381.

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This paper generalizes the classical cubic spline with the construction of the cubic spline coalescence hidden variable fractal interpolation function (CHFIF) through its moments, i.e. its second derivative at the mesh points. The second derivative of a cubic spline CHFIF is a typical fractal function that is self-affine or non-self-affine depending on the parameters of the generalized iterated function system. The convergence results and effects of hidden variables are discussed for cubic spline CHFIFs.
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刘, 永春. "New Solution of Cubic Spline Interpolation Function." Pure Mathematics 03, no. 06 (2013): 362–67. http://dx.doi.org/10.12677/pm.2013.36055.

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KAPOOR, G. P., and SRIJANANI ANURAG PRASAD. "CUBIC SPLINE SUPER FRACTAL INTERPOLATION FUNCTIONS." Fractals 22, no. 01n02 (2014): 1450005. http://dx.doi.org/10.1142/s0218348x14500054.

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In the present work, the notion of Cubic Spline Super Fractal Interpolation Function (SFIF) is introduced to simulate an object that depicts one structure embedded into another and its approximation properties are investigated. It is shown that, for an equidistant partition points of [x0, xN], the interpolating Cubic Spline SFIF[Formula: see text] and their derivatives [Formula: see text] converge respectively to the data generating function y(x) ≡ y(0)(x) and its derivatives y(j)(x) at the rate of h2-j+ϵ(0 < ϵ < 1), j = 0, 1, 2, as the norm h of the partition of [x0, xN] approaches zero
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Lixandru, Ion. "Algorithm for the Calculation of the Two Variables Cubic Spline Function." Annals of the Alexandru Ioan Cuza University - Mathematics 59, no. 1 (2013): 149–61. http://dx.doi.org/10.2478/v10157-012-0022-y.

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Abstract When having just one variable, the existence and uniqueness of the interpolation spline function reduces to studying the solutions of an algebrical system of equations. This allows us to find a practical way of calculating the interpolation spline function. Also in the case of two variables spline functions, we can construct a linear system of equations determined by the continuity conditions of the spline function and of its partial derivatives on the edge of each division rectangle. The existence and uniqueness of the solution of the obtained system ensure the existence and uniquene
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Dissertations / Theses on the topic "Cubic spline function"

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Forsman, Daniel. "Bangenerering för industrirobot med 6 frihetsgrader." Thesis, Linköping University, Department of Electrical Engineering, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-2376.

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<p>This thesis studies path generation for industrial robots of six degrees of freedom. A path is defined by connection of simple geometrical objects like arcs and straight lines. About each point at which the objects connect, a region, henceforth called a zone, is defined in which deviation from the defined path is permitted. The zone allows the robot to follow the path at a constant speed, but the acceleration needed may vary. </p><p>Some means of calculating the zone path as to make the acceleration continuous will be presented. In joint space the path is described by the use of cubic splin
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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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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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Davis, Lisa M. "Evaluation of orthodontic relapse using the cubic spline function." 1996. http://catalog.hathitrust.org/api/volumes/oclc/48172339.html.

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Thesis (M.S. in oral sciences)--University of Illinois at Chicago, 1996.<br>eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
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Sui, T. Z., Hong Sheng Qi, Q. Qi, L. Wang, and J. W. Sun. "Systematic Digitized Treatment of Engineering Line-Diagrams." 2015. http://hdl.handle.net/10454/7940.

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Yes<br>In engineering design, there are many functional relationships which are difficult to express into a simple and exact mathematical formula. Instead they are documented within a form of line graphs (or plot charts or curve diagrams) in engineering handbooks or text books. Because the information in such a form cannot be used directly in the modern computer aided design (CAD) process, it is necessary to find a way to numerically represent the information. In this paper, a data processing system for numerical representation of line graphs in mechanical design is developed, which incorporat
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Wu, Shyu-Yu, and 吳旭昱. "The QRS Complex Detection Based on Cubic Spline Functions." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/56409362367008399023.

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碩士<br>東海大學<br>數學系<br>98<br>Most diagnosis for the abnormal electrocardiogram (ECG) depends on the professional knowledge and databases from doctors. However, if a convenient and precise algorithm can be developed to detecting significant events of ECG, it provides doctors a great assistance. In the past decades, many mature ECG detection algorithms have been constructed to detect the QRS complex but not applicable to finding QT intervals. This thesis develops a cubic spline based method in detecting QRS complex with aim to resolve the QT interval in the future. First of all, the signal i
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洪宗瑾. "Constrained minimum-time path planning for robot manipulatorsvia virtual knots of the cubic B-spline functions." Thesis, 1988. http://ndltd.ncl.edu.tw/handle/41342635606597348774.

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Books on the topic "Cubic spline function"

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

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Boudreau, Joseph F., and Eric S. Swanson. Interpolation and extrapolation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0004.

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This chapter deals with two related problems occurring frequently in the physical sciences: first, the problem of estimating the value of a function from a limited number of data points; and second, the problem of calculating its value from a series approximation. Numerical methods for interpolating and extrapolating data are presented. The famous Lagrange interpolating polynomial is introduced and applied to one-dimensional and multidimensional problems. Cubic spline interpolation is introduced and an implementation in terms of Eigen classes is given. Several techniques for improving the conv
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Book chapters on the topic "Cubic spline function"

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Chang, Jincai, Jiecheng Wang, Dan Jian, Zhuo Wang, and Jianhua Zhang. "Study on Non-local Cubic Spline Function Based on Peridynamics." In Proceedings of the 11th International Conference on Modelling, Identification and Control (ICMIC2019). Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-0474-7_42.

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Bognár, Tomas, Jozef Komorník, and Magda Komorníková. "Application of Regime-Switching Models of Time Series with Cubic Spline Transition Function." In Soft Methodology and Random Information Systems. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-44465-7_72.

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Knott, Gary D. "2D-Function Interpolation." In Interpolating Cubic Splines. Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1320-8_5.

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Young - Moon, Kim, Kim Jong - Soo, and Kim Sang-Dae. "Galerkin Finite Element Method and Collocation Method Using Piecewise Cubic B-Spline Basis Function." In Computational Mechanics ’95. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-79654-8_267.

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Knott, Gary D. "Function and Space Curve Interpolation." In Interpolating Cubic Splines. Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1320-8_4.

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

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Penner, Alvin. "ODF Using a Cubic Bézier." In Fitting Splines to a Parametric Function. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12551-6_4.

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Schaback, Robert. "Radial Basis Functions Viewed From Cubic Splines." In Multivariate Approximation and Splines. Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8871-4_20.

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Scardapane, Simone, Michele Scarpiniti, Danilo Comminiello, and Aurelio Uncini. "Learning Activation Functions from Data Using Cubic Spline Interpolation." In Neural Advances in Processing Nonlinear Dynamic Signals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95098-3_7.

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WEGSCHEIDER, WOLFHARD. "Use of Cubic Spline Functions in Solving Calibration Problems." In ACS Symposium Series. American Chemical Society, 1985. http://dx.doi.org/10.1021/bk-1985-0284.ch010.

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Conference papers on the topic "Cubic spline function"

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Hussain, Malik Zawwar, Misbah Irshad, Muhammad Sarfraz, and Nousheen Zafar. "Interpolation of Discrete Time Signals Using Cubic Spline Function." In 2015 19th International Conference on Information Visualisation (iV). IEEE, 2015. http://dx.doi.org/10.1109/iv.2015.82.

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Sarfraz, Muhammad, Farsia Hussain, Saira Hussain, and Malik Zawwar Hussain. "GC1 Cubic Trigonometric Spline Function with its Geometric Attributes." In 2017 21st International Conference on Information Visualisation (IV). IEEE, 2017. http://dx.doi.org/10.1109/iv.2017.36.

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Liu Keyuan, Li Haibin, He Yan, and Duan Zhixin. "An improved algorithm of Neural Networks with Cubic Spline Weight Function." In 2010 Chinese Control and Decision Conference (CCDC). IEEE, 2010. http://dx.doi.org/10.1109/ccdc.2010.5498738.

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Yadav, Gaurav Kumar, Shruti Jaiswal, and G. C. Nandi. "Generic Walking Trajectory Generation of Biped using Sinusoidal Function and Cubic Spline." In 2020 7th International Conference on Signal Processing and Integrated Networks (SPIN). IEEE, 2020. http://dx.doi.org/10.1109/spin48934.2020.9071083.

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Dong, Cao, He Xiaohua, and Yi Jun. "Novel Threshold Function Wavelet De-Noising Algorithm Based on Cubic Spline Interpolation." In 2012 Fourth International Symposium on Information Science and Engineering (ISISE). IEEE, 2012. http://dx.doi.org/10.1109/isise.2012.96.

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Liao, Weijun, Xianfeng Chen, Yuping Chen, Yuxing Xia, and Yingli Chen. "Recovery of graded index profile in planar waveguide by cubic spline function." In Photonics Asia 2004, edited by Hai Ming, Xuping Zhang, and Maggie Yihong Chen. SPIE, 2005. http://dx.doi.org/10.1117/12.573527.

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Ma, Jinggai, and Xiaodan Zhang. "A full smooth semi-support vector machine based on the cubic spline function." In 2013 6th International Conference on Biomedical Engineering and Informatics (BMEI). IEEE, 2013. http://dx.doi.org/10.1109/bmei.2013.6747020.

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Li, Hui, Hao Lizhu, Huilong Ren, Xiao-bo Chen, and Fang Li. "The Computation of Higher Order Derivatives of Velocity Potential Based on B Spline Function." In ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54407.

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When solving the forward speed hydrodynamic problem in frequency domain adopting the matching method with a meshless cylinder surface as the control surface, the simple Green function is used in the interior domain. To tackle the integration containing the first and second order derivatives of velocity potential on free surface about x, a method in which the velocity potential on the free surface and its derivatives are fitted by the cubic B spline is given, and the regular wave is chosen as the incident wave, and the theory solutions of its velocity potential and the first and second order de
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He, Chi, Guang-ling Dong, and Dong-fei Han. "Model and analysis for guide function of fire control simulation system based on cubic spline interpolation function." In 2008 Asia Simulation Conference - 7th International Conference on System Simulation and Scientific Computing (ICSC). IEEE, 2008. http://dx.doi.org/10.1109/asc-icsc.2008.4675356.

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Hang, Zhang, Huang Yun, Liu Fucheng, and Chen Xiaofang. "Analysis of the Error on Fitting Highway Alignment Based on the Cubic Spline Function." In 2009 Second International Conference on Intelligent Computation Technology and Automation. IEEE, 2009. http://dx.doi.org/10.1109/icicta.2009.583.

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Reports on the topic "Cubic spline function"

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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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