Relevant bibliographies by topics / B-Spline surfaces

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  2. Dissertations / Theses
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Academic literature on the topic 'B-Spline surfaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "B-Spline surfaces"

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Le-Thi-Thu, Nga, Khoi Nguyen-Tan, and Thuy Nguyen-Thanh. "Reconstruction of Low Degree B-spline Surfaces with Arbitrary Topology Using Inverse Subdivision Scheme." Journal of Science and Technology: Issue on Information and Communications Technology 3, no. 1 (2017): 82. http://dx.doi.org/10.31130/jst.2017.41.

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Multivariate B-spline surfaces over triangular parametric domain have many interesting properties in the construction of smooth free-form surfaces. This paper introduces a novel approach to reconstruct triangular B-splines from a set of data points using inverse subdivision scheme. Our proposed method consists of two major steps. First, a control polyhedron of the triangular B-spline surface is created by applying the inverse subdivision scheme on an initial triangular mesh. Second, all control points of this B-spline surface, as well as knotclouds of its parametric domain are iteratively adju
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Wang, Zhihua, Falai Chen, and Jiansong Deng. "Evaluation Algorithm of PHT-Spline Surfaces." Numerical Mathematics: Theory, Methods and Applications 10, no. 4 (2017): 760–74. http://dx.doi.org/10.4208/nmtma.2017.0003.

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AbstractPHT-splines are a type of polynomial splines over hierarchical T-meshes which posses perfect local refinement property. This property makes PHT-splines useful in geometric modeling and iso-geometric analysis. Current implementation of PHT-splines stores the basis functions in Bézier forms, which saves some computational costs but consumes a lot of memories. In this paper, we propose a de Boor like algorithm to evaluate PHT-splines provided that only the information about the control coefficients and the hierarchical mesh structure is given. The basic idea is to represent a PHT-spline l
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Lin, Hongwei, Yunyang Xiong, and Hongwei Liao. "Semi-structured B-spline for blending two B-spline surfaces." Computers & Mathematics with Applications 68, no. 7 (2014): 706–18. http://dx.doi.org/10.1016/j.camwa.2014.07.013.

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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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Rogers, David F., and Linda A. Adlum. "Dynamic rational B-spline surfaces." Computer-Aided Design 22, no. 9 (1990): 609–16. http://dx.doi.org/10.1016/0010-4485(90)90046-f.

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Garcia-Capulin, C. H., F. J. Cuevas, G. Trejo-Caballero, and H. Rostro-Gonzalez. "Hierarchical Genetic Algorithm for B-Spline Surface Approximation of Smooth Explicit Data." Mathematical Problems in Engineering 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/706247.

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B-spline surface approximation has been widely used in many applications such as CAD, medical imaging, reverse engineering, and geometric modeling. Given a data set of measures, the surface approximation aims to find a surface that optimally fits the data set. One of the main problems associated with surface approximation by B-splines is the adequate selection of the number and location of the knots, as well as the solution of the system of equations generated by tensor product spline surfaces. In this work, we use a hierarchical genetic algorithm (HGA) to tackle the B-spline surface approxima
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Wang, Aizeng, Gang Zhao, and Chuan He. "Unified Representation of Curves and Surfaces." Mathematics 9, no. 9 (2021): 1019. http://dx.doi.org/10.3390/math9091019.

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In conventional modeling, shared control points can be employed to realize a unified representation for an object consisting of only curves or only surfaces touching one another. However, this method fails in treating the following two cases: (a) a system consisting of detached curves or surfaces; (b) a system having both curves and surfaces. The purpose of the present paper is to develop a new theoretical tool to solve such problems. By introducing the definitions of naked knot and I-mesh, the concept of I-spline is put forth, which is, in essence, an expanded B-spline or T-spline. It is veri
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Cheng, Xian Guo, and Wei Jun Liu. "A New Method for Deformation of B-Spline Surfaces." Advanced Materials Research 139-141 (October 2010): 1260–63. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.1260.

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This paper presents an efficient method for deforming B-spline surfaces, based on the surface energy minimization. Firstly, using an analogy between the B-spline surface patch and the thin-plate element of the finite element method, and applying external forces on the surface with some given geometric constraints, the forces can locate on part of the surface or the surface. Then, the energy of the B-spline surface can change with the change of the forces. Finally, a new B-spline surface is generated by solving an optimization problem of change of the energy. The forces can be a single force, a
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Lord, Marilyn. "Curve and Surface Representation by Iterative B-Spline Fit to a Data Point Set." Engineering in Medicine 16, no. 1 (1987): 29–35. http://dx.doi.org/10.1243/emed_jour_1987_016_008_02.

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The method of B-splines provides a very powerful way of representing curves and curved surfaces. The definition is ideally suited to applications in Computer Aided Design (CAD) where the designer is required to remodel the surface by reference to interactive graphics. This particular facility can be advantageous in CAD of body support surfaces, such as design of sockets of limb prostheses, shoe insoles, and custom seating. The B-spline surface is defined by a polygon of control points which in general do not lie on the surface, but which form a convex hull enclosing the surface. Each control p
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Wang, Zhiguo. "Direct manipulation of B-spline surfaces." Chinese Journal of Mechanical Engineering (English Edition) 18, no. 01 (2005): 103. http://dx.doi.org/10.3901/cjme.2005.01.103.

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Dissertations / Theses on the topic "B-Spline surfaces"

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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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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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Wong, Chee Kiang. "Intersection of B-spline surfaces by elimination method." Thesis, This resource online, 1990. http://scholar.lib.vt.edu/theses/available/etd-03032009-040559/.

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Loop, Charles Teorell. "Generalized B-spline surfaces of arbitrary topological type /." Thesis, Connect to this title online; UW restricted, 1992. http://hdl.handle.net/1773/6888.

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Xu, Bo. "Multiresolution editing for B-spline curves and surfaces." [Ames, Iowa : Iowa State University], 2008.

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Jain, Aashish. "Error Visualization in Comparison of B-Spline Surfaces." Thesis, Virginia Tech, 1999. http://hdl.handle.net/10919/35319.

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Geometric trimming of surfaces results in a new mathematical description of the matching surface. This matching surface is required to closely resemble the remaining portion of the original surface. Typically, the approximation error in such cases is measured with a view to minimize it. The data associated with the error between two matching surfaces is large and needs to be filtered into meaningful information.This research looks at suitable norms for achieving this data reduction or abstraction with a view to provide quantitative feedback about the approximation error. Also, the differences
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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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Nguyen, Tan Khoi. "Surfaces polyédriques et surfaces paramétriques : une reconstruction par approximation via les surfaces de subdivision." Thesis, Aix-Marseille 2, 2010. http://www.theses.fr/2010AIX22055/document.

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La Conception Assistée par Ordinateur (C.A.O) qui permet de concevoir des objets physiques à partir de modèles mathématiques est utilisée dans de nombreux secteurs de l’industrie.On constate actuellement une volonté généralisée de tirer parti de deux approches jusqu’à présent plutôt antagonistes : la modélisation géométrique continue qui crée des objets continus représentant par la modélisation à partir de surfaces B-splines ou NURBS) et la modélisation géométrique discrète qui qu’il s’agisse de maillages ou de surfaces de subdivision.Cette dualité d’approche a de nombreuses applications indus
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Nafziger, John S. "Reverse parameterization of B-spline surfaces for data transfer." Thesis, This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-06302009-040414/.

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Jones, Robert W. "Intersection and filleting of non-uniform B-spline surfaces." Thesis, Virginia Tech, 1991. http://hdl.handle.net/10919/42189.

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<p>Preliminary aircraft design codes requIre a more complete and integrated geometry definition than that used by conceptual design codes. This thesis documents the design and creation of an interactive CAD system which converts the geometry descriptions commonly used in conceptual aircraft design codes to descriptions that meet the requirements of preliminary design systems. In particular, the conversion of ACSYNT Hermite surface data of aircraft models to the non-uniform hi-cubic B-Spline surface representation is addressed. The topics discussed in this thesis include the design and developm
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Books on the topic "B-Spline surfaces"

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Goldman, Ronald N., and Tom Lyche, eds. Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces. Society for Industrial and Applied Mathematics, 1992. http://dx.doi.org/10.1137/1.9781611971583.

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

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Su, Pu-chʻing. Computational geometry--curve and surface modeling. Academic Press, 1989.

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1947-, Goldman Ron, Lyche Tom, and Society for Industrial and Applied Mathematics., eds. Knot insertion and deletion algorithms for B-spline curves and surfaces. Society for Industrial and Applied Mathematics, 1993.

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Lyche, Tom. Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces (Geometric Design Publications). Society for Industrial Mathematics, 1987.

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Prautzsch, Hartmut, Marco Paluszny, and Wolfgang Boehm. Bezier and B-Spline Techniques. Springer, 2002.

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Bryant, Dennis Michael. A high-level computer graphics implementation of three-dimensional B-spline surface generation. 1987.

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Bu-Qing, Su, and Liu Ding-Yuan. Computational Geometry: Curve and Surface Modeling. Academic Pr, 1989.

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Bu-Qing, Su, and Liu Ding-Yuan. Computational Geometry: Curve and Surface Modeling. Academic Pr, 1989.

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/Pouget, Demengel. Modèles de Bézier, des b-splines et des nurbs: Outils pour l'ingénieur, bases pour la CAO : Mathématiques des courbes et des surfaces. Ellipses Marketing, 1998.

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Book chapters on the topic "B-Spline surfaces"

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Prautzsch, Hartmut, Wolfgang Boehm, and Marco Paluszny. "Tensor product surfaces." In Bézier and B-Spline Techniques. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04919-8_9.

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Prautzsch, Hartmut, Wolfgang Boehm, and Marco Paluszny. "Constructing smooth surfaces." In Bézier and B-Spline Techniques. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04919-8_13.

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Piegl, Les, and Wayne Tiller. "B-spline Curves and Surfaces." In Monographs in Visual Communications. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-97385-7_3.

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Piegl, Les, and Wayne Tiller. "B-spline Curves and Surfaces." In The NURBS Book. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59223-2_3.

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Yamaguchi, Fujio. "The B-Spline Approximation." In Curves and Surfaces in Computer Aided Geometric Design. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-48952-5_7.

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Sabin, Malcolm. "Adaptivity with B-spline Elements." In Mathematical Methods for Curves and Surfaces. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-67885-6_12.

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Piegl, Les, and Wayne Tiller. "Rational B-spline Curves and Surfaces." In Monographs in Visual Communications. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-97385-7_4.

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Piegl, Les, and Wayne Tiller. "Rational B-spline Curves and Surfaces." In The NURBS Book. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59223-2_4.

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Li, Wei, Zhuoqi Wu, Shinoda Junichi, and Ichiro Hagiwara. "Model Reconstruction Using B-Spline Surfaces." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-34381-0_24.

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Floater, Michael S. "Meshless Parameterization and B-Spline Surface Approximation." In The Mathematics of Surfaces IX. Springer London, 2000. http://dx.doi.org/10.1007/978-1-4471-0495-7_1.

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Conference papers on the topic "B-Spline surfaces"

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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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Musuvathy, Suraj, Elaine Cohen, Joon-Kyung Seong, and James Damon. "Tracing ridges on B-Spline surfaces." In 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling. ACM Press, 2009. http://dx.doi.org/10.1145/1629255.1629263.

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Suszynski, Zbigniew, and Robert Swita. "Image approximation using B-spline surfaces." In 2017 21st European Microelectronics and Packaging Conference (EMPC) & Exhibition. IEEE, 2017. http://dx.doi.org/10.23919/empc.2017.8346882.

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Zhang, Xinyu, Yaohang Li, Arvid Myklebust, and Paul Gelhausen. "Optimization of Geometrically Trimmed B-Spline Surfaces." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81862.

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Unlike the visual trimming of B-spline surfaces, which hides unwanted portions in rendering, the geometric trimming approach provides a mathematically clean representation without redundancy. However, the process may lead to significant deviation from the corresponding portion on the original surface. Optimization is required to minimize approximation errors and obtain higher accuracy. In this paper, we describe the application of a novel global optimization method, so-called hybrid Parallel Tempering (PT) and Simulated Annealing (SA) method, for the minimization of B-spline surface representa
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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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Loop, Charles, and T. D. DeRose. "Generalized B-spline surfaces of arbitrary topology." In the 17th annual conference. ACM Press, 1990. http://dx.doi.org/10.1145/97879.97917.

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Piegl, Les, and William Mondy. "Rendering DICOM Data with B-spline Surfaces." In CAD'21. CAD Solutions LLC, 2021. http://dx.doi.org/10.14733/cadconfp.2021.93-97.

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Fujioka, Hiroyuki, and Hiroyuki Kano. "Constrained smoothing and interpolating spline surfaces using normalized uniform B-splines." In 2009 IEEE International Conference on Industrial Technology - (ICIT). IEEE, 2009. http://dx.doi.org/10.1109/icit.2009.4939537.

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Fujioka, Hiroyuki, and Hiroyuki Kano. "Recursive construction of smoothing spline surfaces using normalized uniform B-splines." In 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC). IEEE, 2009. http://dx.doi.org/10.1109/cdc.2009.5399523.

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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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Reports on the topic "B-Spline surfaces"

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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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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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