Relevant bibliographies by topics / Splines

Contents

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

Academic literature on the topic 'Splines'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 July 2025

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Journal articles on the topic "Splines"

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Morozov, Alexander, Gennady Fedotov, Lilia Fedorova, Damir Musharapov, and Lilia Khabieva. "The providing durability of the movable square-sided spline joints by electromechanical treatment of the working surfaces." MATEC Web of Conferences 298 (2019): 00117. http://dx.doi.org/10.1051/matecconf/201929800117.

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The article deals with the operating conditions and causes of loss of performance of movable involute splines joints. In order to ensure the durability of the movable involute splines joints, an effective method of hardening the working surfaces of the splined hub by electromechanical treatment is proposed. The influence of the current on the change of microstructure and microhardness in the electromechanical processing of the working surfaces of the spline bushing was determined. The obtained results of the comparative wear testing of samples involute splines joints depending on the time of t
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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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Zhao, Guang, Xiangyang Zhao, Liting Qian, Yunbo Yuan, Song Ma, and Mei Guo. "A Review of Aviation Spline Research." Lubricants 11, no. 1 (2022): 6. http://dx.doi.org/10.3390/lubricants11010006.

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Splines are irreplaceable in high-speed aviation fields due to their simplicity, reliability, and high specific power. Aviation splines are not only subjected to severe operating mechanical loads, but also sometimes operate under grease-lubricated and non-lubricated environments. All of this results in aviation splines suffering widespread failures. Since the 1960s, many researchers have carried out much research on aviation splines. The wide range of research topics demonstrates the technical challenges of understanding aviation spline. This paper reviews the research of aviation spline from
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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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Sun, Fangli, and Zhanchuan Cai. "Generalized Cardinal Polishing Splines Signal Reconstruction." Mathematics 13, no. 6 (2025): 983. https://doi.org/10.3390/math13060983.

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Sampling and reconstruction are indispensable processes in signal processing, and appropriate foundations are crucial for spline reconstruction models. Generalized cardinal polishing splines (GCP-splines) are a class of high-precision explicit splines with pretty properties. We propose the theory of GCP-splines for signal reconstruction and differential signaling to improve signal reconstruction accuracy. First, the elementary theory of the GCP-splines signal processing is proposed, and it mainly includes Fourier transformation and Z-transformation of the GCP-splines. Then, a GCP-splines filte
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Barka, Noureddine, Sasan Sattarpanah Karganroudi, Rachid Fakir, Patrick Thibeault, and Vincent Blériot Feujofack Kemda. "Effects of Laser Hardening Process Parameters on Hardness Profile of 4340 Steel Spline—An Experimental Approach." Coatings 10, no. 4 (2020): 342. http://dx.doi.org/10.3390/coatings10040342.

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This study displays the effect of laser surface hardening parameters on the hardness profile (case depth) of a splined shaft made of AISI 4340 steel. The approach is mainly based on experimental tests wherein the hardness profile of laser hardened splines is acquired using micro-hardness measurements. These results are then evaluated with statistical analysis (ANOVA) to determine the principal effect and the contributions of each parameter in the laser hardening process. Using empirical correlations, the case depth of splined shaft at tip and root of spline’s teeth is also estimated and verifi
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Ezhov, Nikolaj, Frank Neitzel, and Svetozar Petrovic. "Spline approximation, Part 1: Basic methodology." Journal of Applied Geodesy 12, no. 2 (2018): 139–55. http://dx.doi.org/10.1515/jag-2017-0029.

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Abstract In engineering geodesy point clouds derived from terrestrial laser scanning or from photogrammetric approaches are almost never used as final results. For further processing and analysis a curve or surface approximation with a continuous mathematical function is required. In this paper the approximation of 2D curves by means of splines is treated. Splines offer quite flexible and elegant solutions for interpolation or approximation of “irregularly” distributed data. Depending on the problem they can be expressed as a function or as a set of equations that depend on some parameter. Man
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Hong, J., D. Talbot, and A. Kahraman. "A generalized semi-analytical load distribution model for clearance-fit, major-fit, minor-fit, and mismatched splines." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 230, no. 7-8 (2015): 1126–38. http://dx.doi.org/10.1177/0954406215603741.

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A generalized semi-analytical load distribution model for all common types of involute spline joints is proposed. It is formulated to model clearance-fit (side-fit) involute splines with contacts happening only at the drive flanks of the spline teeth, major or minor-diameter fit splines where additional contact occurs along the top land and the root land of the external spline teeth, respectively, as well as mismatched splines where an intentional lead mismatch is introduced to initiate contact along both drive and back (coast) flanks. Using this model, load distribution and tooth-to-tooth loa
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Mijiddorj, Renchin-Ochir, and Tugal Zhanlav. "Algorithm to construct integro splines." ANZIAM Journal 63 (November 16, 2021): 359–75. http://dx.doi.org/10.21914/anziamj.v63.15855.

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We study some properties of integro splines. Using these properties, we design an algorithm to construct splines \(S_{m+1}(x)\) of neighbouring degrees to the given spline \(S_{m}(x)\) with degree \(m\). A local integro-sextic spline is constructed with the proposed algorithm. The local integro splines work efficiently, that is, they have low computational complexity, and they are effective for use in real time. The construction of nonlocal integro splines usually leads to solving a system of linear equations with band matrices, which yields high computational costs. doi:10.1017/S1446181121000
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Xue, Xiangzhen, Wei Yu, Kuan Lin, Ning Zhang, Li Xiao, and Yiqiang Jiang. "Design Method and Teeth Contact Simulation of PEEK Involute Spline Couplings." Materials 17, no. 1 (2023): 60. http://dx.doi.org/10.3390/ma17010060.

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In order to design an involute spline made of PEEK (polyetheretherketone)-based material with better performance and improve the design rules of involute splines, initially, an involute splines design theory for PEEK (polyetheretherketone)-based materials is presented, which combines international standards (ISO 4156, 1. 2. 3, 2005), American standards (ANSI B92.2M. 1989), and traditional empirical formulas. Second, using the involute splines calibration method in international standards as a guide, we developed the involute splines calibration method for PEEK-based materials by estimating the
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Dissertations / Theses on the topic "Splines"

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Howell, John R. "Analysis Using Smoothing Via Penalized Splines as Implemented in LME() in R." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1702.pdf.

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Schöne, René. "Torische Splines." Duisburg Köln WiKu, 2007. http://d-nb.info/989082741/04.

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Stone, G. "Bivariate splines." Thesis, University of Bath, 1988. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.233827.

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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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Finnigan, Gordon Thomas. "Arbitrary Degree T-Splines." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2453.pdf.

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Gupta, Surendra K. "Parametric splines in tension /." Online version of thesis, 1989. http://hdl.handle.net/1850/10625.

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Faigle, Christopher Tyler. "DMS-Splines and radiosity." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.624727.

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Goosen, Karin M. (Karin Michelle). "Subdivision, interpolation and splines." Thesis, Stellenbosch : Stellenbosch University, 2000. http://hdl.handle.net/10019.1/51924.

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Thesis (MSc)--University of Stellenbosch, 2000.<br>ENGLISH ABSTRACT: In this thesis we study the underlying mathematical principles of stationary subdivision, which can be regarded as an iterative recursion scheme for the generation of smooth curves and surfaces in computer graphics. An important tool for our work is Fourier analysis, from which we state some standard results, and give the proof of one non-standard result. Next, since cardinal spline functions have strong links with subdivision, we devote a chapter to this subject, proving also that the cardinal B-splines are refinable, a
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WANG, DONGHUI. "Modelisation de surfaces b-splines s'appuyant sur des courbes de bezier ou b-splines." Paris, ENSAM, 1990. http://www.theses.fr/1989ENAM0009.

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Ce travail concerne l'elaboration d'une methode de modelisation des surfaces b-splines en s'appuyant sur des courbes de bezier ou b-splines predefinies. Il a ete realise successivement chez renault automation et matra datavision, sur le systeme unisurf integre a euclid-is de matra datavision. Le probleme pose est de savoir comment on peut modeliser une surface polynomiale (surface de bezier ou b-spline) sous les contraintes suivantes: la surface obtenue doit respecter l'esthetique et la regularite des sections donnees par l'utilisateur; la methode proposee doit etre simple a utiliser et facile
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Jallet, Roxane. "Splines de régression et splines de lissage en régression non paramétrique avec bruit processus." Paris 6, 2008. http://www.theses.fr/2008PA066054.

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Dans ce travail de thèse, nous nous intéressons aux méthodes d’estimation d’une fonction de régression régulière bruitée par un processus, par les splines de lissage et les splines de régression. Dans le cadre du modèle à bruit processus, nous présentons les résultats de convergence asymptotique obtenus pour l’estimateur des splines de lisage et proposons une extension au cas de données déséquilibrées. Afin de construire les estimateurs des splines de régression dans le cadre du modèle à bruit processus, nous introduisons deux critères : les moindres carrés ordinaires et les moindres carrés gé
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Books on the topic "Splines"

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

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United States. National Aeronautics and Space Administration. Scientific and Technical Information Office., ed. An algorithm for surface smoothing with rational splines. National Aeronautics and Space Administration, Scientific and Technical Information Office, 1987.

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de Boor, Carl, Klaus Höllig, and Sherman Riemenschneider. Box Splines. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4757-2244-4.

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Regional Conference on Theory and Applications of Multivariate Splines (1987 : Howard University), ed. Multivariate splines. Society for Industrial and Applied Mathematics, 1988.

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K, Höllig, and Riemenschneider S. D, eds. Box splines. Springer-Verlag, 1993.

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A, Vasilenko V., ed. Variational theory of splines. Kluwer Academic/Plenum Publishers, 2001.

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McMahon, John R. Knot selection for least squares Thin Plate Splines. Naval Postgraduate School, 1987.

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

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Micula, Gheorghe, and Sanda Micula. Handbook of Splines. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-5338-6.

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Arcangéli, Rémi, María Cruz López de Silanes, and Juan José Torrens. Multidimensional Minimizing Splines. Springer US, 2004. http://dx.doi.org/10.1007/b130045.

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Book chapters on the topic "Splines"

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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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Engeln-Müllges, Gisela, and Frank Uhlig. "Two-Dimensional Splines, Surface Splines, Bézier Splines, B-Splines." In Numerical Algorithms with C. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-61074-5_12.

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Engeln-Müllges, Gisela, and Frank Uhlig. "Two-Dimensional Splines, Surface Splines, Bézier Splines, B-Splines." In Numerical Algorithms with Fortran. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-80043-6_12.

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Vargas, D. C., E. J. Rodríguez, M. Flickner, and J. L. C. Sanz. "Splines and Spline Fitting Revisited." In Image Technology. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-58288-2_16.

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Engeln-Müllges, Gisela, Klaus Niederdrenk, and Reinhard Wodicka. "Zweidimensionale Splines, Oberflächensplines, Bézier-Splines, B-Splines." In Numerik-Algorithmen. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13473-9_12.

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Opfer, Gerhard. "Splines." In Numerische Mathematik für Anfänger. Vieweg+Teubner Verlag, 2002. http://dx.doi.org/10.1007/978-3-322-94286-9_4.

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Luther, Wolfram, and Martion Ohsmann. "Splines." In Mathematische Grundlagen der Computergraphik. Vieweg+Teubner Verlag, 1988. http://dx.doi.org/10.1007/978-3-663-00134-8_6.

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Opfer, Gerhard. "Splines." In Numerische Mathematik für Anfänger. Vieweg+Teubner Verlag, 2001. http://dx.doi.org/10.1007/978-3-322-96948-4_4.

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Hämmerlin, Günther, and Karl-Heinz Hoffmann. "Splines." In Springer-Lehrbuch. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-00173-8_6.

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Hämmerlin, Günther, and Karl-Heinz Hoffman. "Splines." In Numerical Mathematics. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4442-4_6.

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Conference papers on the topic "Splines"

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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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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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Park, Sohee, and Gyeonghwi Min. "Analysis of the Mechanisms by which Spline Pitch Errors Affect Powertrain Vibration." In 13th International Styrian Noise, Vibration & Harshness Congress: The European Automotive Noise Conference. SAE International, 2024. http://dx.doi.org/10.4271/2024-01-2910.

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&lt;div class="section abstract"&gt;&lt;div class="htmlview paragraph"&gt;As environmental concerns have taken the spotlight, electrified powertrains are rapidly being integrated into vehicles across various brands, boosting their market share. With the increasing adoption of electric vehicles, market demands are growing, and competition is intensifying. This trend has led to stricter standards for noise and vibration as well. To meet these requirements, it is necessary to not only address the inherent noise and vibration sources in electric powertrains, primarily from motors and gearboxes, bu
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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 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
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Gross, M. H., and D. Kleiner. "Wiener Splines." In Dagstuhl '97 - Scientific Visualization Conference. IEEE, 1997. http://dx.doi.org/10.1109/dagstuhl.1997.1423105.

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Blanc, Carole, and Christophe Schlick. "X-splines." In the 22nd annual conference. ACM Press, 1995. http://dx.doi.org/10.1145/218380.218488.

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Wang, Hongyu, Ying He, Xin Li, Xianfeng Gu, and Hong Qin. "Polycube splines." In the 2007 ACM symposium. ACM Press, 2007. http://dx.doi.org/10.1145/1236246.1236281.

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Gu, Xianfeng, Ying He, and Hong Qin. "Manifold splines." In the 2005 ACM symposium. ACM Press, 2005. http://dx.doi.org/10.1145/1060244.1060249.

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Dem’yanovich, Yu K., T. O. Evdokimova, O. N. Ivantsova, D. M. Lebedinskii, and A. Y. Ponomareva. "Singular splines." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0031734.

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Boykov, Aleksey Aleksandrovich. "Constructive Geometry of some Algebraic Curves Represented by Splines in CAD." In 33rd International Conference on Computer Graphics and Vision. Keldysh Institute of Applied Mathematics, 2023. http://dx.doi.org/10.20948/graphicon-2023-758-770.

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The problem of representing segments of some algebraic curves (curves of the second order and cubic parabolas) is solved using spline curves of CAD systems – Bezier curves and rational splines. Algorithms are being developed for constructing curves, mainly cubic parabolas, according to given conditions in the representation by Bezier curves of 3rd order. The concepts of special pencils of cubic parabolas of the first and second kind are introduced, their properties and application to the construction of cubic parabolas are shown. A way to representing cubic splines in a CAD system is proposed.
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Reports on the topic "Splines"

1

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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Soanes, Royce W. Minimax Linear Splines. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada248077.

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Lavery, John E., and Shu-Cherng Fang. L1 Splines with Locally Computed Coefficients. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada585562.

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Nishida, Tooru, Toshiyuki Yanamoto, Shuhei Takahara, and Shigeo Adachi. Generation Mechanism of Thrust Force of Splines. SAE International, 2005. http://dx.doi.org/10.4271/2005-32-0018.

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Shen, Andy, Devin Francom, and Kelin Rumsey. Robust Bayesian Multivariate Adaptive Regression Splines (BMARS). Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1671070.

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Li, X., and M. A. Scott. On the Nesting Behavior of T-splines. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada555333.

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Scott, M. A., X. Li, T. W. Sederberg, and T. J. Hughes. Local Refinement of Analysis-Suitable T-splines. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada555339.

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de Boor, Carl. Quasi Interpolants and Approximation Power of Multivariate Splines. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada213535.

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Williams, Daniel A., and Louise A. Raphael. Wavelets and Splines in Numerical Methods and Compression. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada294986.

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Siddiqui, Matheen, and Stan Sclaroff. Surface Reconstruction from Multiple Views Using Rational B-Splines. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada440710.

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