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Dissertations / Theses on the topic 'B-spline'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

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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2

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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3

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

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4

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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5

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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6

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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7

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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8

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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9

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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10

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 1950Ã¢ÂÂs 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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11

Ingram, Christopher. "A Geometric B-Spline Over the Triangular Domain." Thesis, University of Waterloo, 2003. http://hdl.handle.net/10012/1039.

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For modelling curves, B-splines [3] are among the most versatile control schemes. However, scaling this technique to surface patches has proven to be a non-trivial endeavor. While a suitable scheme exists for rectangular patches in the form of tensor product B-splines, techniques involving the triangular domain are much less spectacular. The current cutting edge in triangular B-splines [2] is the DMS-spline. While the resulting surfaces possess high degrees of continuity, the control scheme is awkward and the evaluation is computationally expensive. A more fundamental problem is

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12

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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13

Haq, Shaiq A. "Filament winding machine control using B-spline interpolation." Thesis, University of Nottingham, 1994. http://eprints.nottingham.ac.uk/14216/.

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Filament winding is a process for the placement of reinforcement fibres on to a rotating surface in a specified geometric pattern. A conventional straight line interpolation controller is not very appropriate for filament winding because the fibre pay-out-eye is at some distance away from the mandrel surface and its movement from one point to another may disturb the position of previously laid fibre on the mandrel. Filament winding demands a controller which can produce fast and smooth carriage movements, and have a path-anticipation capability so that while moving around curves the effect of

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14

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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15

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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16

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

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17

Kaya, Hikmet Emre. "A comparative study between the cubic spline and b-spline interpolation methods in free energy calculations." Master's thesis, Faculty of Science, 2020. http://hdl.handle.net/11427/32228.

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Numerical methods are essential in computational science, as analytic calculations for large datasets are impractical. Using numerical methods, one can approximate the problem to solve it with basic arithmetic operations. Interpolation is a commonly-used method, inter alia, constructing the value of new data points within an interval of known data points. Furthermore, polynomial interpolation with a sufficiently high degree can make the data set differentiable. One consequence of using high-degree polynomials is the oscillatory behaviour towards the endpoints, also known as Runge's Phenomenon.

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18

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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19

Jayaram, Uma. "Extracting dimensional geometric parameters from B-spline surface models." Diss., Virginia Tech, 1991. http://hdl.handle.net/10919/37877.

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In an integrated design environment, the common thread between the different design stages is usually the geometric model of the part. However, the requirements for the geometric definition of the design is usually different for each stage. The transformation of data between these different stages is essential for the success of the integrated design environment. For example, conceptual design systems usually deal with geometric dimensional parameters (e.g. length, radius, etc.) whereas preliminary design systems frequently require the geometry definition to be in the form of surface models.

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20

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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21

Argenti, Luca. "The B-spline K-matrix Method in Atomic Physics." Doctoral thesis, Scuola Normale Superiore, 2009. http://hdl.handle.net/11384/85858.

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In the course of this thesis the B-spline K-matrix method, a theoretical technique capable of reproducing the single ionization continuum of atoms, was developed. Two systems were addressed in particular: helium and boron, as representatives of two- and three-active-electron atoms. Some of the findings presented here resulted in original cont ributions to the scientific literature. Total and partial photoionization cros s sections and asymmetry parameters of the fundamental helium state were examined up to the sixth ionization threshold, yielding the first ab initio reproduction of the

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22

Silva, Luiz Marcelo Chiesse da. "Geração de b-splines via FPGA." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/18/18152/tde-10102012-084652/.

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As b-splines são utilizadas em sistemas CAD/CAM/CAE para representar e definir curvas e superfícies complexas, sendo adotada pelos principais padrões da computação gráfica devido a características como representação matemática de forma compacta, flexibilidade e transformações afins. Em sistemas de aquisição de dados 3D e sistemas CAM-CNC integrados, a utilização da b-spline na transferência de informações geométricas e na reconstrução da superfície de objetos resulta em um significativo incremento na eficiência do processo, geralmente implementado em sistemas embarcados. Nestes sistemas embarc

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23

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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24

Gloudemans, James R. "Filleting of aircraft components using non-uniform B-spline surfaces." Thesis, Virginia Tech, 1989. http://hdl.handle.net/10919/44637.

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<p>Conceptual and preliminary aircraft design codes have different geometry requirements. Conceptual design codes use component based models, while preliminary design codes require a more complete and integrated geometry. An automatic procedure to convert between the two types of models would prevent geometry inconsistencies and speed up the design process. This thesis describes some of the concepts and algorithms necessary to develop such a procedure. Specifically, the theory and development of C2 continuous fillets between aircraft components is discussed. B-spline surface generation f

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25

Tjung, Jie Wen. "Projection, design, and representation of curves on B-spline surfaces." Thesis, Virginia Tech, 1992. http://hdl.handle.net/10919/41412.

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26

Zhang, Xinyu. "Optimal Geometric Trimming of B-spline Surfaces for Aircraft Design." Diss., Virginia Tech, 2005. http://hdl.handle.net/10919/28270.

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B-spline surfaces have been widely used in aircraft design to represent different types of components in a uniform format. Unlike the visual trimming of B-spline surfaces, which hides unwanted portions in rendering, the geometric trimming approach provides a mathematically clean representation. This dissertation focuses on the geometric trimming of fuselage and wing components represented by B-spline surfaces. To trim two intersecting surfaces requires finding their intersections effectively. Most of the existing algorithms focus on providing intersections suitable for rendering. In this di

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27

Bindiganavle, Karthik. "An optimal approach to geometric trimming of B-spline surfaces." Thesis, Virginia Tech, 2000. http://hdl.handle.net/10919/31767.

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Geometric trimming of a surface involves removal of unwanted portions of the surface and providing a new mathematical description for the trimmed patch. This entails creating a new geometry for the trimmed patch, which closely approximates the corresponding portion on the original patch. The procedure is shown to involve obtaining data points on the B-spline surface that lie within the region specified by the parameter values for the trimming curve and describing a new surface which interpolates this new set of data points. This research looks at optimizing the procedure described above by bas

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28

Wang, Hongrui. "Error and stability analysis for B-spline finite element methods." Thesis, University of Strathclyde, 2015. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=26570.

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The thesis studies the approximation properties of splines with maximum smoothness. We are interested in the behaviour of the approximation as the degree of the spline increases (so does its smoothness). By studying B-spline interpolation, we obtain error estimates measured in the semi-norm that are explicit in terms of mesh size, degree and smoothness. This new result also gives a higher approximation order than existing estimations. With the results, we investigate the B-spline finite element approximation with k-refinement, which is a strategy of improving the accuracy by increasing the deg

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29

Tjung, Jie Wen. "Projection, design, and representation of curves on B-spline surfaces /." This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-03042009-040805/.

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30

Coe, David H. "Skinning engineering models with non-uniform, hierarchical B-spline surfaces." Thesis, This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-09052009-040656/.

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31

Nandihalli, Sunil S. "A B-spline geometric modeling methodology for free surface simulation." Master's thesis, Mississippi State : Mississippi State University, 2004. http://library.msstate.edu/etd/show.asp?etd=etd-04072004-185017.

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32

Almeida, Adriano Del Vigna de. "B-Spline : CAEP - algoritmos culturais para a geração de trajetórias B-Spline de robôs móveis / Adriano Del Vigna de Almeida ; orientador, Leandro dos Santos Coelho." reponame:Biblioteca Digital de Teses e Dissertações da PUC_PR, 2005. http://www.biblioteca.pucpr.br/tede/tde_busca/arquivo.php?codArquivo=461.

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Dissertação (mestrado) - Pontifícia Universidade Católica do Paraná, Curitiba, 2005<br>Inclui bibliografia<br>Pode se dizer que a geração de trajetórias é o mote principal da robótica móvel. Um robô, incapaz de percorrer uma trajetória livre de obstáculo, de forma a atingir um objetivo pré-definido, poderia inclusive deixar de ser chamado de robô móvel. A geração

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33

Lorenczyk, Jiří. "Matematický popis trajektorie pohybu vozidla." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-445453.

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The goal of this thesis is to nd types of curves which would allow for the construction of a path that could be traversed by a vehicle. It seems that a minimal constraint for such a path is the continuity of curve's curvature. This leads to a closer look at the three types of curves: Clothoids, which are able to smoothly connect straights with arcs of a constant curvature, interpolation quintic splines, which are C2 smooth in the interpolation nodes and -splines, these belong to the family of quintic polynomial curves too, however, they are characterised by the vector of parameters which modi

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34

Corbin, Max. "Surface fitting head scan data sets." Ohio : Ohio University, 1999. http://www.ohiolink.edu/etd/view.cgi?ohiou1175886726.

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35

Marcaly, Fred W. "Data reduction and knot removal for non-uniform B-spline surfaces." Thesis, Virginia Tech, 1991. http://hdl.handle.net/10919/40638.

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36

Junger, Jean-Claude. "Modélisation et réalisation d'une prothèse de genou." Vandoeuvre-les-Nancy, INPL, 1993. http://www.theses.fr/1993INPL052N.

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La complexité du mouvement des os de l'articulation du genou requiert une étude anatomique pour construire une prothèse de genou. Une bonne prothèse repose sur des surfaces permettant tous les mouvements du genou. Le nouveau type de prothèse présenté ici, est le résultat de cette approche scientifique. Dans un premier temps, nous mesurons les surfaces des condyles et de la trochlée d'une population significative d'os humains en utilisant une machine triaxiale. Puis, nous déterminons une surface moyenne servant de base à la réalisation de notre prothèse. Ensuite, en utilisant les techniques des

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37

QUADRI, NICOLA. "THEORETICAL STUDY OF PERTURBATIVE AND NON-PERTURBATIVE PHOTOIONIZATION." Doctoral thesis, Università degli Studi di Trieste, 2018. http://hdl.handle.net/11368/2918470.

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Photoionization processes have been examined from a theoretical perspective with the aim of increasing the number of the describable phenomena involved in such processes. This aim has been achieved by the implementation of several algorithms based on the use of B-splines as basis functions to treat both correlation effects and non-perturbative photoionization regime. The first part of the thesis is dedicated to correlation effects within the bound states. Since a standard DFT method does not permit to study any correlation effect, we present a single channel approach that uses Configuration In

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38

Wang, Xijun. "Geometric Trimming and Curvature Continuous Surface Blending for Aircraft Fuselage and Wing Shapes." Thesis, Virginia Tech, 2001. http://hdl.handle.net/10919/31664.

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Most of the work accomplished on surface blending is based on visual trimming. In the process of visual trimming, the unwanted portion of a surface is only hidden but not removed. Geometric trimming provides a complete mathematical description of the wanted portion of the trimming surface, and generates a new mathematical surface or sets of surface patches. The new surface is intended to resemble closely the corresponding portion of the original surface. A robust procedure is developed to geometrically trim the intersecting surfaces and blend the trimmed surface patches into one new surface.

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39

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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40

Cervera, Eva. "Evolutionary structural optimisation based on boundary element representation of B-spline geometry." Thesis, Durham University, 2003. http://etheses.dur.ac.uk/2004/.

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Evolutionary Structural Optimisation (ESO) has become a well-established technique for determining the optimum shape and topology of a structure given a set of loads and constraints. The basic ESO concept that the optimum topology design evolves by slow removal and addition of material has matured over the last ten years. Nevertheless, the development of the method has almost exclusively considered finite elements (FE) as the approach for providing stress solutions. This thesis presents an ESO approach based on the boundary element method. Non-uniform rational B-splines (NURBS) are used to def

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41

Tsao, Yu-Ming, and 曹育銘. "Continuity Adjustment of B-spline Surfaces." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/28350937295413573584.

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碩士<br>國立臺灣大學<br>機械工程學研究所<br>98<br>With the pursuit of automatic and efficiently industrial development, computer aided design has been played an important role in the industry. In response to the requirements of the work of imitation, reverse engineering is generated. Measuring the shape of products and a series of calculation including segmentation, surface reconstruction and surface adjustment are the steps of the reverse engineering process. Finally, we can reconstruct and analyze the CAD model of products and plan the product’s manufacture procedure. This research focus on continuity ad

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42

Hong-Weng, Wu, and 吳宏文. "Automated Construction of Three Dimensional Discontinuous B-Spline SurfacesAutomated Construction of Three Dimensional Discontinuous B-Spline Surfaces." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/49546679540175057473.

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碩士<br>國立高雄應用科技大學<br>模具工程系碩士班<br>96<br>This study is to construct the discontinuous B-Spline surfaces of three dimensions by using the reverse software we had developed. In some curves or surfaces of industrial products, we need to alter the B-Spline curves by handed manner in the reverse software in order to create the geometric feature line. That feature line with discontinuity (Positional continuity) is represented on some specific surfaces or regions, and the other unmodified surfaces remain the continuity (Slope continuity). However, it takes a lot of time to construct the feature l

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Liu, Yan-Ze, and 劉彥澤. "Offset Compensation of Trimmed b-spline Surfaces." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/21438189630972219210.

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碩士<br>國立臺灣大學<br>機械工程學研究所<br>102<br>With the development of the computer science, computer aided software is applied in several areas. Especially, the computer aided design is applied on many industries. For example, the CNC machining is important in the manufacture of the product. In the progress of the NC tool path simulation, it should have the inseparable geometry association of offset curve and offset surface. The research focuses on the improvement of the surface offset method, by combining the advantages of using the data point and the control point for the construction of the offset sur

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Kuo, Kun-Yu, and 郭坤裕. "Geometric Local Modification with B-Spline Surface." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/63141598728905880389.

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碩士<br>國立交通大學<br>機械工程系<br>87<br>The aim of this thesis study is to apply the B-Spline surfaces to modify geometric modeling locally. The reason for using the B-Spline surfaces is for very strong and simply geometric attribute, consequently provide intuition sense for designer. First, we build the base of geometric modeling with Hermite surface. After the conversion of parameter surface, the characteristic grid of B-Spline surface can be obtained. We must plan the modified range and then move the chosen control points in this range appropriately. After the move of control points, the

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蘇德修. "B-Spline齒形之研究". Thesis, 2004. http://ndltd.ncl.edu.tw/handle/11080705267296586897.

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碩士<br>國立高雄應用科技大學<br>模具工程系碩士班<br>92<br>The purpose of this research is to design the tooth profile by using B-Spline curve, and to investigate geometric properties and meshing characteristics of the conjugate tooth profiles. Firstly the tooth geometric tooth profiles of the rack cutter are defined by the specified control points, the order of spline function and knot vectors. Then using the meshing theory and coordinate matrix transformation, the mathematical models of the generated conjugate tooth profiles are derived. Finally the geometric properties and meshing characteristics are explored b

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Archer, Katrina Marie. "Craniofacial reconstruction using hierarchical B-Spline interpolation." Thesis, 1997. http://hdl.handle.net/2429/6373.

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Craniofacial forensic reconstruction is often the only means of determining a deceased individual's appearance. Current manual methods of estimating the appearance of the individual from his or her skull are extremely expensive and time-consuming. Normally a single facial estimate is produced and publicized. As a result, the success rate for identification resulting from facial reconstruction is on the order of only 50%. A software tool that produces multiple three-dimensional likenesses that more completely cover the range of likely appearances due to factors such as body fat content, a

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Chen, Chien-Yi, and 陳見宜. "Automated G2 Continuity Adjustment of B-spline Surface." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/53071578178371809425.

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碩士<br>國立臺灣大學<br>機械工程學研究所<br>96<br>Computer aided design and reverse engineering are used wildly in industrial and played an important role for surface modeling。Continuity is the pivot factor for pursuing the beauty of product and the convenience of manufacturing process whether the surface data are derived from surface modeling or reverse engineering.The purpose for this research is to promote the efficiency of surface-continuity adjustment by automatic process. This research attempts to build an automatic process by getting the geometry and topology data from surface and tries to construct th

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48

陳秀娘. "New Vectorization for Solving B-spline Curve Fitting." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/36894965925908020381.

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碩士<br>國立臺灣科技大學<br>管理研究所資訊管理學程<br>81<br>Curve fitting is important in computer - aided design, graphics, pattern recognition, and picture processing. Using the matrix diagonalization method, this thesis gives a new and fast vectorized algorithm for solving the open B - spline curve fitting. The application of our result to solve the closed B - spline curve fitting is also investigated. Given a set of random points, we demon - strate the good performance of our algorithms on the CRAY X - MP EA / 16se supercomputer. Furthermore, we compare the performance of our algorithms (Fortran codes) with

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Teoh, Hok Sin. "Computer integrated manufacture of optimal B-spline cams." 1989. http://hdl.handle.net/2097/22650.

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Yeh, Shih-Yu, and 葉時有. "Hand-Shape Recognition Based on B-Spline Curves." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/26787024552931776373.

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碩士<br>國立暨南國際大學<br>電機工程學系<br>96<br>With an increasing emphasis on security, personal authentication based on biometrics has been receiving extensive attention over the past decade. Among many different biometric technologies, this thesis examines hand-shape technique for personal identification and develops a good performance recognition system based on human hand features. It is implemented and tested on VIP-CCL Lab. Hand image database. The proposed system includes four modules: image acquisition, image pre-processing, feature extraction, and recognition modules. First, the system captures a

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