Gotowe bibliografie tematyczne / B-spline

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  1. Artykuły w czasopismach
  2. Rozprawy doktorskie
  3. Książki
  4. Części książek
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Gotowa bibliografia na temat „B-spline”

Autor: Grafiati
Data publikacji: 4 czerwca 2021
Data aktualizacji: 25 lipca 2025

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Artykuły w czasopismach na temat "B-spline"

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Jena, Hrushikesh. "A Constructive Approach to Bivariate Hyperbolic Box Spline Functions." Armenian Journal of Mathematics 17, no. 1 (2025): 1–18. https://doi.org/10.52737/18291163-2025.17.1-1-18.

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This article is based on the construction procedure of bivariate hyperbolic box spline functions. Generally, box splines are considered as the multivariate generalizations of univariate B-splines. Both B-splines and box splines are refinable functions. Two different kinds of box splines like the polynomial box splines and the trigonometric box splines along with their usefulness are well studied in literature. However, another variant of box splines named as the class of hyperbolic box spline functions, has not gained much attention. This article focuses on the construction of bivariate hyperb
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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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Sharma, Arvind Kumar, and Amrita Puri. "Rational b-spline adaptive filter for active noise control of machinary noises." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 268, no. 6 (2023): 2084–95. http://dx.doi.org/10.3397/in_2023_0307.

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Spline adaptive filter has a different architecture than linear-in-parameter nonlinear filters like Volterra filter. There are various kinds of splines like Bezier spline, B-spline and rational B-spline. Rational B spline has weights associated with control points and hence, provides more flexibility than B-spline to create a curve. This paper presents development of rational b-spline adaptive filter for active noise control. Updating equations to update control points and weights of control points are derived. A simulation study is presented to study performance of proposed rational B-spline
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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
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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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Ezhov, Nikolaj, Frank Neitzel, and Svetozar Petrovic. "Spline Approximation, Part 2: From Polynomials in the Monomial Basis to B-splines—A Derivation." Mathematics 9, no. 18 (2021): 2198. http://dx.doi.org/10.3390/math9182198.

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In a series of three articles, spline approximation is presented from a geodetic point of view. In part 1, an introduction to spline approximation of 2D curves was given and the basic methodology of spline approximation was demonstrated using splines constructed from ordinary polynomials. In this article (part 2), the notion of B-spline is explained by means of the transition from a representation of a polynomial in the monomial basis (ordinary polynomial) to the Lagrangian form, and from it to the Bernstein form, which finally yields the B-spline representation. Moreover, the direct relation
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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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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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Liu, Xinyue, Xingce Wang, Zhongke Wu, Dan Zhang, and Xiangyuan Liu. "Extending Ball B-spline by B-spline." Computer Aided Geometric Design 82 (October 2020): 101926. http://dx.doi.org/10.1016/j.cagd.2020.101926.

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Istiqomatul Fajriyah Yuliati and Pardomuan Sihombing. "Pemodelan Fertilitas Di Indonesia Tahun 2017 Menggunakan Pendekatan Regresi Nonparametrik Kernel dan Spline." Jurnal Statistika dan Aplikasinya 4, no. 1 (2020): 48–60. http://dx.doi.org/10.21009/jsa.04105.

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Tujuan dari penelitian ini adalah untuk menganalisis pola hubungan Total Fertility Rate (TFR) dengan Contraceptive Prevalence Rate (CPR). Analisis yang sering digunakan untuk pemodelan adalah analisis regresi. Analisis regresi menurut pendekatannya dapat dibedakan menjadi dua, parametrik dan nonparametrik. Metode regresi nonparametrik yang sering digunakan adalah regresi kernel dan spline. Pada penelitian ini untuk regresi kernel yang digunakan adalah regresi kernel dengan metode penaksir Nadaraya-Watson (NWE) dan penaksir polinomial lokal (LPE), sedangkan untuk regresi spline yang digunakan a
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Rozprawy doktorskie na temat "B-spline"

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Elsaesser, Bernhard. "Approximation mit rationalen B-Spline Kurven und Flaechen. Approximation with rational B-spline curves and surfaces." Phd thesis, Shaker, 1998. https://tuprints.ulb.tu-darmstadt.de/1126/1/elsaesser.pdf.

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Dag, Idris. "Studies of B-spline finite elements." Thesis, Bangor University, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358041.

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Rojas, Roberto. "Geometric trimming of B-spline surfaces." Thesis, Virginia Tech, 1994. http://hdl.handle.net/10919/40634.

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Pereira, Larissa Rocha. "Ajuste de curva B-spline fechada com peso." Universidade Federal de Uberlândia, 2014. https://repositorio.ufu.br/handle/123456789/14947.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>The aim of this work is to develop a method of curve fitting using closed B-spline closed for application on reconstruction of cross-sections of objects. For this study specifically where the sections are closed curves, it has been implemented a method to close the curve B-spline curve, in such way that the curve is smooth on the closing point. The developed method is based on least squares approximation with weights, which defines that the curve should be as close as possible to the real curve. The weights in this case are respons
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Elsässer, Bernhard [Verfasser]. "Approximation mit rationalen B-Spline Kurven und Flaechen. Approximation with rational B-spline curves and surfaces / Bernhard Elsaesser." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2008. http://d-nb.info/1104177943/34.

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Aggarwal, Aditya Mohan. "B-Spline Boundary Element Method for Ships." ScholarWorks@UNO, 2008. http://scholarworks.uno.edu/td/853.

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The development of a three dimensional B-Spline based method, which is suitable for the steady-state potential flow analysis of free surface piercing bodies in hydrodynamics, is presented. The method requires the B-Spline or Non Uniform Rational B-Spline (NURBS) representation of the body as an input. In order to solve for the unknown potential, the source surface, both for the body as well as the free surface, is represented by NURBS surfaces. The method does not require the body surface to be discritized into flat panels. Therefore, instead of a mere panel approximation, the exact body
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Mößner, Bernhard. "B-splines als Finite Elemente /." Aachen : Shaker, 2006. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=015210875&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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Lampis, Alberto. "Sul Calcolo di B-Spline Tchebycheffiane Multi-Order." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/23217/.

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Viene descritto un nuovo algoritmo numericamente stabile per il calcolo di B-spline Tchebycheffiane multi-order, basato sull'espressione delle matrici relative alla procedura di knot insertion in termini dei coefficienti di Greville generalizzati dello spazio in analisi.
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Armstrong, Curtis A. "Vectorization of Raster Images Using B-Spline Surfaces." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1513.pdf.

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Aggarwal, Bhavya. "B-spline finite elements for plane elasticity problems." Texas A&M University, 2006. http://hdl.handle.net/1969.1/4849.

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The finite element method since its development in the 1950’s has been used extensively in solving complex problems involving partial differential equations. The conventional finite element methods use piecewise Lagrange interpolation functions for approximating displacements. The aim of this research is to explore finite element analysis using B-spline interpolation. B-splines are piecewise defined polynomial curves which provide higher continuity of derivatives than piecewise Lagrange interpolation functions. This work focuses on the implementation and comparison of the B-spline finite
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Książki na temat "B-spline"

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Lasser, Dieter. B-spline-Bezier representation of Tau-splines. Naval Postgraduate School, 1988.

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Prautzsch, Hartmut, Wolfgang Boehm, and Marco Paluszny. Bézier and B-Spline Techniques. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04919-8.

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1928-, Boehm Wolfgang, and Paluszny Marco 1950-, eds. Bézier and B-spline techniques. Springer, 2002.

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Prautzsch, Hartmut. Bézier and B-Spline Techniques. Springer Berlin Heidelberg, 2002.

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Gregory, John A. The weighted v-spline as a double knot B-spline. Brunel University,Department of Mathematics and Statistics, 1991.

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Harries, Stefan. Parametric design and hydrodynamic optimization of ship hull forms. Mensch-und-Buch-Verl., 1998.

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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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Zeilhofer, Claudia. Multi-dimensional B-spline modeling of spatio-temporal ionospheric signals. Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften, 2008.

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Części książek na temat "B-spline"

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Kermarrec, Gaël, Vibeke Skytt, and Tor Dokken. "Locally Refined B-Splines." In Optimal Surface Fitting of Point Clouds Using Local Refinement. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-16954-0_2.

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AbstractThe univariate minimal support B-spline basis (UMB) has been used in Computer Aided Design (CAD) since the 1970s. Freeform curves use UMB, while sculptured surfaces are represented using a tensor product of two UMBs. The coefficients of a B-spline curve and surface are respectively represented in a vector and a rectangular grid. In CAD-intersection algorithms for UMB represented objects, a divide-and-conquer strategy is often used. Refinement by knot insertion is used to split the objects intersected into objects of the same type with a smaller geometric extent. In many cases the inter
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Guha, Sumanta. "B-Spline." In Computer Graphics Through OpenGL. Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9780429464171-18.

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Singh, Dhananjay, Madhusudan Singh, and Zaynidinov Hakimjon. "B-Spline Approximation for Polynomial Splines." In Signal Processing Applications Using Multidimensional Polynomial Splines. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2239-6_2.

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Salomon (emeritus), David. "B-Spline Approximation." In Texts in Computer Science. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-886-7_14.

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Prautzsch, Hartmut, Wolfgang Boehm, and Marco Paluszny. "B-spline representation." In Bézier and B-Spline Techniques. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04919-8_5.

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Prautzsch, Hartmut, Wolfgang Boehm, and Marco Paluszny. "B-spline techniques." In Bézier and B-Spline Techniques. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04919-8_6.

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Kermarrec, Gaël, Vibeke Skytt, and Tor Dokken. "LR B-Spline Surfaces and Volumes for Deformation Analysis of Terrain Data." In Optimal Surface Fitting of Point Clouds Using Local Refinement. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-16954-0_6.

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AbstractGeospatial data acquisition of terrains with contact-free sensors such as Terrestrial or Airbone Laser Scanners generates scattered and noisy point clouds. Performing a surface approximation is an efficient way to reduce and structure the recorded point clouds. To that end, LR B-splines are attractive as they allow a local refinement, on the contrary to the tensor product B-spline and raster surfaces. By comparing the approximation error with a given tolerance, a local refinement is performed. We apply this adaptive refinement strategy to landslides data sets from Alpine terrain in Aus
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Kermarrec, Gaël, Vibeke Skytt, and Tor Dokken. "Conclusion." In Optimal Surface Fitting of Point Clouds Using Local Refinement. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-16954-0_7.

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AbstractIn this SpringerBrief, we went through the mathematical concepts of LR B-splines in all its facets, explaining in details how the spline space can be refined and the different strategies for adaptive approximation.
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Lyche, Tom, Carla Manni, and Hendrik Speleers. "Foundations of Spline Theory: B-Splines, Spline Approximation, and Hierarchical Refinement." In Lecture Notes in Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94911-6_1.

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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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Streszczenia konferencji na temat "B-spline"

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Venitucci, Benjamin, Jean Franҫois Bougron, and Frederic Robert. "Arbitrary point displacement on B-spline curve." In Novel Patterning Technologies 2025, edited by Richard A. Farrell and Ricardo Ruiz. SPIE, 2025. https://doi.org/10.1117/12.3050306.

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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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Yang, Yanli, De Ma, and Ting Yu. "Interpolation by nonuniform B-spline through uniform B-spline filter banks." In 2016 IEEE International Conference on Digital Signal Processing (DSP). IEEE, 2016. http://dx.doi.org/10.1109/icdsp.2016.7868582.

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Wang, Mingming, and Xiaoping Qian. "Efficient Filtering in Topology Optimization via B-Splines." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34712.

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This paper presents a B-spline based approach for topology optimization of three-dimensional (3D) problems where the density representation is based on B-splines. Compared with the usual density filter in topology optimization, the new B-spline based density representation approach is advantageous in both memory usage and CPU time. This is achieved through the use of tensor-product form of B-splines. As such, the storage of the filtered density variables is linear with respect to the effective filter size instead of the cubic order as in the usual density filter. Numerical examples of 3D topol
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Forsey, David R., and Richard H. Bartels. "Hierarchical B-spline refinement." In the 15th annual conference. ACM Press, 1988. http://dx.doi.org/10.1145/54852.378512.

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Carminelli, Antonio, and Giuseppe Catania. "PB-Spline Hybrid Surface Fitting Technique." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87195.

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This work considers the fitting of data points organized in a rectangular array to parametric spline surfaces. Point Based (PB) splines, a generalization of tensor product splines, are adopted. The basic idea of this paper is to fit large scale data with a tensorial B-spline surface and to refine the surface until a specified tolerance is met. Since some isolated domains exceeding tolerance may result, detail features on these domains are modeled by a tensorial B-spline basis with a finer resolution, superimposed by employing the PB-spline approach. The present method leads to an efficient mod
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Chen, Yifan, and Klaus-Peter Beier. "B2: An Interactive Quality Visualization and Improvement Technique for B-Spline Surfaces." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/dac-5586.

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Abstract A new interactive technique for B-spline surface quality visualization and improvement, called the B2 method, is presented. This method interpolates the control points of a given B-spline surface using a second B-spline surface. If small irregularities exist in the control points of the original surface, they will be magnified through the second B-spline and demonstrated as large distortions in its control points. This facilitates the detection of small surface irregularities. Subsequently, the surface may be improved through direct and interactive adjustment of the second B-spline’s
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Gu, Yu, and Xiaoping Qian. "B-Spline Based Robust Topology Optimization." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46076.

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In this paper, we present an extension of the B-spline based density representation to a robust formulation of topology optimization. In our B-spline based topology optimization approach, we use separate representations for material density distribution and analysis. B-splines are used as a representation of density and the usual finite elements are used for analysis. The density undergoes a Heaviside projection to reduce the grayness in the optimized structures. To ensure minimal length control so the resulting designs are robust with respect to manufacturing imprecision, we adopt a three-str
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Wei Chen, Ting Chen, and Wentao Wang. "B-spline with shape parameter." In 2010 3rd International Conference on Advanced Computer Theory and Engineering (ICACTE 2010). IEEE, 2010. http://dx.doi.org/10.1109/icacte.2010.5579539.

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da Silva, L. M. C., and M. S. V. de Paiva. "B-spline generation in FPGA." In 2012 VIII Southern Conference on Programmable Logic (SPL). IEEE, 2012. http://dx.doi.org/10.1109/spl.2012.6211798.

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Raporty organizacyjne na temat "B-spline"

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Lasser, Dieter. B-Spline-Bezier Representation of Tau-Splines. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada197937.

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Ramamurti, Sita, and David Gilsinn. Bicubic b-spline surface approximation of invariant tori. National Institute of Standards and Technology, 2010. http://dx.doi.org/10.6028/nist.ir.7731.

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Manke, J. A tensor product B-spline method for numerical grid generation. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/5005256.

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Dede, Luca, and Hugo A. Santos. B-spline goal-oriented error estimators for geometrically nonlinear rods. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada555331.

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Manke, J. A tensor product b-spline method for 3D multi-block elliptic grid generation. Office of Scientific and Technical Information (OSTI), 1988. http://dx.doi.org/10.2172/5536897.

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DE Boor, Carl. The Exact Condition of the B-Spline Basis May be Hard to Determine. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada204080.

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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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Yapp, Clifford W. An Investigation into Conversion from Non-Uniform Rational B-Spline Boundary Representation Geometry to Constructive Solid Geometry. Defense Technical Information Center, 2015. http://dx.doi.org/10.21236/ada624518.

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Li, Xin, Eric L. Miller, Carey Rappaport, and Michael Silevich. An Adaptive B-Spline Method for Low-order Image Reconstruction Problems - Final Report - 09/24/1997 - 09/24/2000. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/791462.

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Vásquez, Diego Mauricio, and Luis Fernando Melo-Velandia. Estimación de la estructura a plazos de las tasas de interés en Colombia por medio del método de funciones B-spline cúbicas. Banco de la República, 2002. http://dx.doi.org/10.32468/be.210.

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