Relevant bibliographies by topics / B-spline functions

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

Academic literature on the topic 'B-spline functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 28 September 2024

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Journal articles on the topic "B-spline functions"

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Tsay, D. M., and C. O. Huey. "Application of Rational B-Splines to the Synthesis of Cam-Follower Motion Programs." Journal of Mechanical Design 115, no. 3 (1993): 621–26. http://dx.doi.org/10.1115/1.2919235.

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A procedure employing rational B-spline functions for the synthesis of cam-follower motion programs is presented. It differs from earlier techniques that employ spline functions by using rational B-spline basis functions to interpolate motion constraints. These rational B-splines permit greater flexibility in refining motion programs. Examples are provided to illustrate application of the approach.
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Pool, Maryam Khazaei, and Lori Lewis. "A SURVEY ON RECENT HIGHER ORDER SPLINE TECHNIQUES FOR SOLVING BURGERS EQUATION USING B-SPLINE METHODS AND VARIATION OF B-SPLINE TECHNIQUES." Journal of Mathematical Sciences: Advances and Applications 70, no. 1 (2022): 1–26. http://dx.doi.org/10.18642/jmsaa_7100122245.

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This is a summary of articles based on higher order B-splines methods and the variation of B-spline methods such as Quadratic B-spline finite elements method, Exponential cubic B-spline method, Septic B-spline technique, Quintic B-spline Galerkin method, and B-spline Galerkin method based on the Quadratic B-spline Galerkin method (QBGM) and Cubic B-spline Galerkin method (CBGM). In this paper, we study the B-spline methods and variations of B-spline techniques to find a numerical solution to the Burgers’ equation. A set of fundamental definitions including Burgers equation, spline functions, a
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Budakçı, Gülter, and Halil Oruç. "Further Properties of Quantum Spline Spaces." Mathematics 8, no. 10 (2020): 1770. http://dx.doi.org/10.3390/math8101770.

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We construct q-B-splines using a new form of truncated power functions. We give basic properties to show that q-B-splines form a basis for quantum spline spaces. On the other hand, we derive algorithmic formulas for 1/q-integration and 1/q-differentiation for q-spline functions. Moreover, we show a way to find the polynomial pieces on each interval of a q-spline function.
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Journal, Baghdad Science. "Solving B- spline functions." Baghdad Science Journal 3, no. 4 (2006): 713–21. http://dx.doi.org/10.21123/bsj.3.4.713-721.

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In this paper, we proposed to zoom Volterra equations system Altfazlah linear complementarity of the first type in this approximation were first forming functions notch Baschtdam matrix and then we discussed the approach and stability, to notch functions
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AL-Faour, Omar M. "Solving B- spline functions." Baghdad Science Journal 3, no. 4 (2006): 713–21. http://dx.doi.org/10.21123/bsj.2006.758.

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In this paper, we proposed to zoom Volterra equations system Altfazlah linear complementarity of the first type in this approximation were first forming functions notch Baschtdam matrix and then we discussed the approach and stability, to notch functions
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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 netw
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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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Che, Xiang Jiu, Gerald Farin, Zhan Heng Gao, and Dianne Hansford. "The Product of Two B-Spline Functions." Advanced Materials Research 186 (January 2011): 445–48. http://dx.doi.org/10.4028/www.scientific.net/amr.186.445.

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A method for calculating the product of two B-spline functions is presented. The product is computed by solving a linear system. The coefficient matrix of the system is a Gramian, which guarantees that the system has a unique solution. Every element of the coefficient matrix and the righthand vector of the system is an inner product of B-splines. The inner product can be computed accurately by making use of numerical methods.
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Speleers, Hendrik. "Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines." ACM Transactions on Mathematical Software 48, no. 1 (2022): 1–31. http://dx.doi.org/10.1145/3478686.

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Multi-degree Tchebycheffian splines are splines with pieces drawn from extended (complete) Tchebycheff spaces, which may differ from interval to interval, and possibly of different dimensions. These are a natural extension of multi-degree polynomial splines. Under quite mild assumptions, they can be represented in terms of a so-called multi-degree Tchebycheffian B-spline (MDTB-spline) basis; such basis possesses all the characterizing properties of the classical polynomial B-spline basis. We present a practical framework to compute MDTB-splines, and provide an object-oriented implementation in
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Strelkovskaya, Irina, Irina Solovskaya та Anastasiya Makoganiuk. "Spline-Extrapolation Method in Traffic Forecasting in 5G Networks". Journal of Telecommunications and Information Technology 3 (30 вересня 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 predi
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Dissertations / Theses on the topic "B-spline functions"

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Grove, Olya. "Heterogeneous Modeling of Medical Image Data Using B-Spline Functions." Scholar Commons, 2011. http://scholarcommons.usf.edu/etd/3130.

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Ongoing developments in the field of medical imaging modalities have pushed the frontiers of modern medicine and biomedical engineering, prompting the need for new applications to improve diagnosis, treatment and prevention of diseases. Biomedical data visualization and modeling rely predominately on manual processing and utilization of voxel and facet based homogeneous models. Biological structures are naturally heterogeneous and in order to accurately design and biomimic biological structures, properties such as chemical composition, size and shape of biological constituents need to be incor
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Andriamaro, Miangaly Gaelle. "Vector refinable splines and subdivision." Thesis, Stellenbosch : Stellenbosch University, 2008. http://hdl.handle.net/10019.1/1747.

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Thesis (MSc (Mathematics))--Stellenbosch University, 2008.<br>In this thesis we study a standard example of refinable functions, that is, functions which can be reproduced by the integer shifts of their own dilations. Using the cardinal B-spline as an introductory example, we prove some of its properties, thereby building a basis for a later extension to the vector setting. Defining a subdivision scheme associated to the B-spline refinement mask, we then present the proof of a well-known convergence result. Subdivision is a powerful tool used in computer-aided geometric design (CAGD) for the
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Santos, Tyssia Nogueira Maciel dos. "AvaliaÃÃo genÃtica da curva de lactaÃÃo de cabras saanen utilizando modelos de regressÃo aleatÃria." Universidade Federal do CearÃ, 2014. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=13819.

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CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior<br>O objetivo deste estudo foi realizar uma avaliaÃÃo genÃtico-quantitativa da curva de lactaÃÃo atà 305 dias de cabras da raÃa Saanen, avaliando distintos modelos de regressÃo aleatÃria para o melhor ajuste das trajetÃrias fixa e aleatÃrias desta curva, e assim estimar as covariÃncias e parÃmetros genÃticos associados a este perÃodo. Foram utilizados 11.018 controles leiteiros de 950 lactaÃÃes de cabras pertencentes a rebanhos associados ao Programa de Melhoramento GenÃtico de Caprinos Leiteiros (CaprageneÂ). Os efeitos fixos utilizad
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Flores, Melvin Estuardo Murray Richard M. Murray Richard M. "Real-time trajectory generation for constrained nonlinear dynamical systems using non-uniform rational B-spline basis functions /." Diss., Pasadena, Calif. : California Institute of Technology, 2008. http://resolver.caltech.edu/CaltechETD:etd-02192008-153449.

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You, C. F. "An investigation of the use of B-spline shaped functions for the analysis of large deformations of structures." Thesis, Cranfield University, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.381051.

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Santos, Tyssia Nogueira Maciel dos. "Avaliação genética da curva de lactação de cabras saanen utilizando modelos de regressão aleatória." reponame:Repositório Institucional da UFC, 2014. http://www.repositorio.ufc.br/handle/riufc/19004.

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SANTOS, Tyssia Nogueira Maciel dos. Avaliação genética da curva de lactação de cabras saanen utilizando modelos de regressão aleatória. 2014. 51 f. : Dissertação (Mestrado) - Universidade Federal do Ceará, Centro de Ciências, Departamento de Zootecnia, Programa de Pós-Graduação em Zootecnia. Fortaleza-CE, 2014.<br>Submitted by Eric Santiago (erichhcl@gmail.com) on 2016-08-09T13:21:33Z No. of bitstreams: 1 2014_dis_tnmsantos.pdf: 879224 bytes, checksum: 96fe44313df6f0e17fee9e748d618407 (MD5)<br>Approved for entry into archive by Nádja Goes (nmoraissoares@gmail.com) on 2016-08-09T13:31:08Z (GMT)
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Phan, Anh cang. "Crack removal and hole filling on composite subdivision meshes." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4068/document.

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Construire une surface lisse d'un objet 3D est un problème important dans de nombreuses applications graphiques. En particulier, les méthodes de subdivision permettent de passer facilement d'un maillage discret à une surface continue. Un problème général résultant de la subdivision de deux maillages initialement connectés le long d'un bord est l'apparition de fissures ou de trous entre eux. Ces fissures produisent non seulement des formes indésirables, mais induisent aussi des difficultés pour les traitements ultérieurs. Il faut donc réparer ces défauts de sorte que la surface obtenue soit lis
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Ondroušková, Jana. "Modelování NURBS křivek a ploch v projektivním prostoru." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2009. http://www.nusl.cz/ntk/nusl-228872.

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In the first part I discuss ancestors of NURBS curves and surfaces, rather Ferguson, Beziere, Coons and B-spline curves and surfaces and furthermore B-spline functions. In the second part I devote to NURBS curves and surfaces, their description as a linear combination of B-spline functions in the projective space. I specify conical arcs more detailed, their submit in the projective space and NURBS surfasec given as tensor product of NURBS curves. Last part is devote to describtion programs for modeling conicals and NURBS surface.
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Gdhami, Asma. "Méthodes isogéométriques pour les équations aux dérivées partielles hyperboliques." Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4210/document.

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L’Analyse isogéométrique (AIG) est une méthode innovante de résolution numérique des équations différentielles, proposée à l’origine par Thomas Hughes, Austin Cottrell et Yuri Bazilevs en 2005. Cette technique de discrétisation est une généralisation de l’analyse par éléments finis classiques (AEF), conçue pour intégrer la conception assistée par ordinateur (CAO), afin de combler l’écart entre la description géométrique et l’analyse des problèmes d’ingénierie. Ceci est réalisé en utilisant des B-splines ou des B-splines rationnelles non uniformes (NURBS), pour la description des géométries ain
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Bahari, Mustapha. "Transport optimal pour la génération de maillage et le r-raffinement." Electronic Thesis or Diss., Université Côte d'Azur, 2024. http://www.theses.fr/2024COAZ5032.

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Dans cette thèse, nous développons des solveurs rapides et des procédures de génération de maillage adaptatif basés sur le transport optimal dans le contexte de l'Analyse Isogéométrique, en utilisant les B-Splines comme base des éléments finis. Notre approche garantit la construction d'une bijection, abordant ainsi un défi majeur de l'Analyse Isogéométrique. Nous utilisons des éléments finis standard pour résoudre l'équation de Monge-Ampère. Cependant, une analyse de cette approche montre des limitations significatives, notamment lorsqu'elle est confrontée à des variations importantes au voisi
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Books on the topic "B-spline functions"

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deLancey, Moser Robert, and United States. National Aeronautics and Space Administration., eds. Two-dimensional mesh embedding for Galerkin B-spline methods. National Aeronautics and Space Administration, 1995.

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deLancey, Moser Robert, and United States. National Aeronautics and Space Administration., eds. Two-dimensional mesh embedding for Galerkin B-spline methods. National Aeronautics and Space Administration, 1995.

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deLancey, Moser Robert, and United States. National Aeronautics and Space Administration., eds. Two-dimensional mesh embedding for Galerkin B-spline methods. National Aeronautics and Space Administration, 1995.

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Two-dimensional mesh embedding for Galerkin B-spline methods. National Aeronautics and Space Administration, 1995.

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Book chapters on the topic "B-spline functions"

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Piegl, Les, and Wayne Tiller. "B-Spline Basis Functions." In The NURBS Book. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59223-2_2.

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Piegl, Les, and Wayne Tiller. "B-Spline Basis Functions." In Monographs in Visual Communications. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-97385-7_2.

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Bojanov, B. D., H. A. Hakopian, and A. A. Sahakian. "B-Splines." In Spline Functions and Multivariate Interpolations. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8169-1_3.

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Bojanov, B. D., H. A. Hakopian, and A. A. Sahakian. "Multivariate B-Splines and Truncated Powers." In Spline Functions and Multivariate Interpolations. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8169-1_9.

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Qu, Ruibin, and John A. Gregory. "A Subdivision Algorithm For Non—Uniform B—Splines." In Approximation Theory, Spline Functions and Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2634-2_30.

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Szyszka, Anna, and Maciej Woźniak. "Parallel Algorithm for Concurrent Integration of Three-Dimensional B-Spline Functions." In Computational Science – ICCS 2023. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-36021-3_57.

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Tan, Shunquan. "Steganalysis of LSB Matching Revisited for Consecutive Pixels Using B-Spline Functions." In Digital Forensics and Watermarking. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32205-1_4.

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Tanaka, Satoyuki, and Hiroshi Okada. "An Adaptive Wavelet Finite Element Method with High-Order B-Spline Basis Functions." In The Mechanical Behavior of Materials X. Trans Tech Publications Ltd., 2007. http://dx.doi.org/10.4028/0-87849-440-5.877.

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Christensen, Ole. "B-splines." In Functions, Spaces, and Expansions. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4980-7_10.

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Frederic, P., G. D’Amore, and E. Pacciani. "Attributing a Paleoanthropological Specimen to a Prehistoric Population: A Bayesian Approach with Multivariate B-Spline Functions." In Applied Bayesian Statistical Studies in Biology and Medicine. Springer US, 2004. http://dx.doi.org/10.1007/978-1-4613-0217-9_8.

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Conference papers on the topic "B-spline functions"

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Du, Huiqian, and Wenbo Mei. "Image Resizing Using Exponential B-Spline Functions." In 2009 2nd International Congress on Image and Signal Processing (CISP). IEEE, 2009. http://dx.doi.org/10.1109/cisp.2009.5305799.

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Brown, Joanna M., Malcolm I. G. Bloor, M. Susan Bloor, and Michael J. Wilson. "Generation and Modification of Non-Uniform B-Spline Surface Approximations to PDE Surfaces Using the Finite Element Method." In ASME 1990 Design Technical Conferences. American Society of Mechanical Engineers, 1990. http://dx.doi.org/10.1115/detc1990-0032.

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Abstract A PDE surface is generated by solving partial differential equations subject to boundary conditions. To obtain an approximation of the PDE surface in the form of a B-spline surface the finite element method, with the basis formed from B-spline basis functions, can be used to solve the equations. The procedure is simplest when uniform B-splines are used, but it is also feasible, and in some cases desirable, to use non-uniform B-splines. It will also be shown that it is possible, if required, to modify the non-uniform B-spline approximation in a variety of ways, using the properties of
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Fahmy, M. F., and G. Fahmy. "C12. Image compression using exponential B-spline functions." In 2012 29th National Radio Science Conference (NRSC). IEEE, 2012. http://dx.doi.org/10.1109/nrsc.2012.6208530.

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Akyel, Cevdet, and Slobodan Babic. "Choice of segments in the B=B(H) approximation using spline functions." In Symposium on Antenna Technology and Applied Electromagnetics [ANTEM 2000]. IEEE, 2000. http://dx.doi.org/10.1109/antem.2000.7851641.

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Stanciu, Lucian, Valentin Stanciu, and Radu Badea. "Digital Crossover Filters Designed by Using B-Spline Functions." In 2019 International Symposium on Signals, Circuits and Systems (ISSCS). IEEE, 2019. http://dx.doi.org/10.1109/isscs.2019.8801810.

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Rohal'-Ilkiv, Boris, Martin Gulan, and Peter Minarcik. "Implementation of Continuous-time MPC Using B-spline Functions." In 2019 22nd International Conference on Process Control (PC19). IEEE, 2019. http://dx.doi.org/10.1109/pc.2019.8815334.

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Santoro, Esamuele. "Digraph and matrix representation or nonuniform B-spline functions." In Wuhan - DL tentative, edited by Shuzi Yang, Ji Zhou, and Cheng-Gang Li. SPIE, 1996. http://dx.doi.org/10.1117/12.235523.

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Nikolos, Ioannis K., Georgios N. Lygidakis, Stavros N. Leloudas, and Sofia Tavla. "Application of B-Spline Basis Functions as Harmonic Functions for the Concurrent Shape and Mesh Morphing of Airfoils." In GPPS Chania22. GPPS, 2022. http://dx.doi.org/10.33737/gpps22-tc-9.

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The automatic deformation of the computational mesh along with the deformed geometry in design optimization cycles is a valuable procedure, as it reduces the required time for the construction of new meshes. The introduction of harmonic coordinates for the deformation of objects included within a closed mesh (cage) has been introduced in computer graphics. Harmonic coordinates result from solutions to the Laplace’s equation (harmonic functions) using a numerical solver. In this work, a modification to the classical harmonic coordinates’ concept is introduced for the deformation of 2D geometrie
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Chihab, N., A. Zergainoh, and J. P. Astruc. "Generalized non-uniform B-spline functions for discrete signal interpolation." In Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings. IEEE, 2003. http://dx.doi.org/10.1109/isspa.2003.1224832.

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Martin, Tobias, Elaine Cohen, and Mike Kirby. "Volumetric parameterization and trivariate b-spline fitting using harmonic functions." In the 2008 ACM symposium. ACM Press, 2008. http://dx.doi.org/10.1145/1364901.1364938.

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Reports on the topic "B-spline functions"

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Saunders, Bonita, and Qiming Wang. From b-spline mesh generation to effective visualizations for the NIST digital library of mathematical functions. National Institute of Standards and Technology, 2007. http://dx.doi.org/10.6028/nist.ir.7402.

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