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

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Published: 4 June 2021
Last updated: 16 February 2022

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1

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

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2

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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3

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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4

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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5

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

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6

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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7

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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8

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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9

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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10

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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11

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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12

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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13

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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14

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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15

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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16

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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17

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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18

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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19

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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20

Tazeroualti, Mohammed. "Modélisation de surfaces à l'aide de fonctions splines : conception d'un verre progressif." Grenoble 1, 1993. http://tel.archives-ouvertes.fr/tel-00343495.

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Ce travail se décompose en trois parties distinctes. Dans la première partie, on introduit un algorithme du type Gauss-Seidel pour la minimisation de fonctionnelles symétriques semi-définies positives. La convergence de cet algorithme est démontrée. En application, on donne deux méthodes de lissage de surfaces. Ces méthodes sont basées sur l'idée de ramener un probleme de lissage a deux dimensions a la resolution d'une suite de problèmes a une dimension faciles a résoudre. Pour cela on utilise l'opération d'inf-convolution spline. Dans la deuxième partie, on introduit une nouvelle methode pour
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21

Gandhi, Ashit R. "Feature-based geometric modeling using B-spline surfaces and a natural language approach." Diss., Virginia Polytechnic Institute and State University, 1989. http://hdl.handle.net/10919/54359.

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Traditionally, design geometries are represented using orthographic views which require a human being to interpret them and recognize geometric features to evaluate the design. Solid modeling systems have made the task somewhat easier, but they often require tedious and complex operations using simple geometric primitives. This has led to investigation of modeling systems which allow the creation of assemblies the way engineers conceive them - as features. To be able to efficiently describe models in terms of features, a rich set of feature descriptors are necessary. An exhaustive study of En
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22

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

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23

Goel, Archak. "Design of Functionally Graded BCC Type Lattice Structures Using B-spline Surfaces for Additive Manufacturing." University of Cincinnati / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1552398559313737.

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24

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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25

Colloc'h, Nathalie. "Analyse qualitative des surfaces moléculaires à l'aide de fonctions de lissage B-Spline et études topologiques quantitatives application aux protéines /." Grenoble 2 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb37612952s.

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26

Colloc'h, Nathalie. "Analyse qualitative des surfaces moleculaires a l'aide de fonctions de lissage b-spline et etudes topologiques quantitatives : application aux proteines." Paris 6, 1988. http://www.theses.fr/1988PA066162.

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27

Daniel, Marc. "Modélisation de courbes et surfaces par des b-splines. : Application à la conception et à la visualisation de formes." Nantes, 1989. http://www.theses.fr/1989NANT2013.

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Présentation des b-splines et de quelques propriétés de base. Comparaison détaillée des algorithmes de manipulation de courbes et surfaces b-splines existants tant du point de vue du nombre d'opérations, que du point de vue fondamental de leur stabilité et des problèmes numériques induits. Le problème des interventions est ensuite abordé avec la proposition d'un ensemble d'algorithmes et la mise en évidence des nombreuses difficultés techniques intéressantes au problème.
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28

Sauvage, Basile. "Déformation de courbes et surfaces multirésolution sous contraintes." Phd thesis, Grenoble INPG, 2005. http://tel.archives-ouvertes.fr/tel-00011444.

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Dans le domaine de la modélisation géométrique comme dans le domaine de l'informatique graphique, les utilisateurs sont toujours en quête d'outils ergonomiques pour éditer et déformer des courbes et des surfaces. La construction de ces outils nécessite d'abord un choix pertinent de modèles mathématiques pour représenter ces objets géométriques. Ensuite, l'adjonction de contraintes géométriques, intégrées dans l'outil d'édition, peut faciliter la manipulation.<br /><br />L'objet de ce manuscrit est d'étudier l'intégration de contraintes non linéaires dans la déformation multirésolution de courb
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29

Ondroušková, Jana. "Modelování NURBS křivek a ploch v projektivním prostoru." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2009. http://www.nusl.cz/ntk/nusl-228872.

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In the first part I discuss ancestors of NURBS curves and surfaces, rather Ferguson, Beziere, Coons and B-spline curves and surfaces and furthermore B-spline functions. In the second part I devote to NURBS curves and surfaces, their description as a linear combination of B-spline functions in the projective space. I specify conical arcs more detailed, their submit in the projective space and NURBS surfasec given as tensor product of NURBS curves. Last part is devote to describtion programs for modeling conicals and NURBS surface.
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30

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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31

Fillatreau, Philippe. "Localisation et modélisation tridimensionnelles pour un robot mobile autonome tout terrain." Phd thesis, Université Paul Sabatier - Toulouse III, 1994. http://tel.archives-ouvertes.fr/tel-00261834.

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CETTE THESE TRAITE DU PROBLEME DE LA LOCALISATION DANS UN ENVIRONNEMENT TRIDIMENSIONNEL (3D) D'UN ROBOT MOBILE AUTONOME, AINSI QUE DE CELUI DE LA MODELISATION DE TERRAIN. DEUX DOMAINES TYPIQUES D'APPLICATION DE CE TRAVAIL SONT LA ROBOTIQUE MOBILE D'INTERVENTION (SECURITE CIVILE,) ET L'EXPLORATION PLANETAIRE. LA CONTRIBUTION DE LA THESE SE SITUE SURTOUT AU NIVEAU DE LA LOCALISATION D'UN ROBOT DANS UN ENVIRONNEMENT SEMI-STRUCTURE OU NON STRUCTURE. UN ETAT DE L'ART CONCERNANT D'UNE PART LES PRINCIPAUX CAPTEURS UTILISABLES, ET D'AUTRE PART LA MODELISATION, EST PRESENTE. L'ACCENT EST MIS SUR LES CA
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32

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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33

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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34

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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35

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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36

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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37

Gdhami, Asma. "Méthodes isogéométriques pour les équations aux dérivées partielles hyperboliques." Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4210/document.

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L’Analyse isogéométrique (AIG) est une méthode innovante de résolution numérique des équations différentielles, proposée à l’origine par Thomas Hughes, Austin Cottrell et Yuri Bazilevs en 2005. Cette technique de discrétisation est une généralisation de l’analyse par éléments finis classiques (AEF), conçue pour intégrer la conception assistée par ordinateur (CAO), afin de combler l’écart entre la description géométrique et l’analyse des problèmes d’ingénierie. Ceci est réalisé en utilisant des B-splines ou des B-splines rationnelles non uniformes (NURBS), pour la description des géométries ain
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38

Tang, Chi-Ming. "B-spline surface techniques for solid modeling : an application to computer-aided geometric design /." Online version of thesis, 1988. http://hdl.handle.net/1850/10216.

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39

Randrianarivony, Maharavo, and Guido Brunnett. "Parallel implementation of surface reconstruction from noisy samples." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200600524.

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We consider the problem of reconstructing a surface from noisy samples by approximating the point set with non-uniform rational B-spline surfaces. We focus on the fact that the knot sequences should also be part of the unknown variables that include the control points and the weights in order to find their optimal positions. We show how to set up the free knot problem such that constrained nonlinear optimization can be applied efficiently. We describe in detail a parallel implementation of our approach that give almost linear speedup. Finally, we provide numerical results obtained on the Chemn
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40

Barbarini, Luiz Henrique Maiorino. "Síntese de cascos de embarcações através de métodos de otimização aplicados a curvas B-Spline." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/3/3152/tde-08052007-171701/.

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Este trabalho apresenta uma ferramenta flexível e eficiente para o campo de projeto e desenho preliminar de cascos de embarcações. O estado da arte de projeto de cascos de embarcações consiste em um processo iterativo onde, primeiramente, definem-se parâmetros geométricos, de estabilidade, e hidrodinâmicos. Em seguida, o casco é modelado através de curvas paramétricas. submetido a uma análise de desempenho, e, após isso, é feita a tomada de decisão para otimizar os parâmetros iniciais. O ciclo se repete até que se atinja o resultado desejado. O que será apresentado cumpre com a parte de modela
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41

Kiousis, Dimitrios. "Computer Aided Angioplasty : Patient-specific arterial modeling and smooth 3D contact analysis of the stent-balloon-artery interaction." Licentiate thesis, KTH, Solid Mechanics (Div.), 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4263.

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<p>Paper A: In this paper, the development and implementation of a contact algorithm based on C2-continuous surface representations is discussed. In 3D contact simulations involving models with arbitrarily curved surfaces (as in the case of vessel walls), the discretization of the contact surfaces by means of facet-based techniques could lead to numerical instabilities and finally loss of quadratic convergence. These instabilities arise mainly due to the sliding of contractor (slave) nodes over the boundaries of target (master) contact facets, where jumps of the normal vector are experienced.
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42

Qu, Ruibin. "Recursive subdivision algorithms for curve and surface design." Thesis, Brunel University, 1990. http://bura.brunel.ac.uk/handle/2438/5447.

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In this thesis, the author studies recursIve subdivision algorithms for curves and surfaces. Several subdivision algorithms are constructed and investigated. Some graphic examples are also presented. Inspired by the Chaikin's algorithm and the Catmull-Clark's algorithm, some non-uniform schemes, the non-uniform corner cutting scheme and the recursive subdivision algorithm for non-uniform B-spline curves, are constructed and analysed. The adapted parametrization is introduced to analyse these non-uniform algorithms. In order to solve the surface interpolation problem, the Dyn-Gregory-Levin's 4-
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43

Zhao, Chang Sheng. "Reconstruction de surfaces tridimensionnelles en vision par ordinateur." Grenoble INPG, 1993. http://tel.archives-ouvertes.fr/tel-00343706.

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Le cadre général de ce travail est l'étude de la représentation et la reconstruction de surfaces tridimensionnelles d'objets non polyédriques, lorsqu'ils sont observes avec des systèmes de vision passifs. Cette thèse est plus spécialement consacrée a la reconstruction de surfaces tridimensionnelles en utilisant des surfaces b-splines, a partir de l'observation du mouvement des contours occultant, dans une séquence d'images calibrées. Nous présentons plusieurs résultats auxquels nous avons abouti : premièrement, nous introduisons un algorithme pyramidal de suivi de contours courbes et la correc
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44

González, Cindy. "Les courbes algébriques trigonométriques à hodographe pythagorien pour résoudre des problèmes d'interpolation deux et trois-dimensionnels et leur utilisation pour visualiser les informations dentaires dans des volumes tomographiques 3D." Thesis, Valenciennes, 2018. http://www.theses.fr/2018VALE0001/document.

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Les problèmes d'interpolation ont été largement étudiés dans la Conception Géométrique Assistée par Ordinateur. Ces problèmes consistent en la construction de courbes et de surfaces qui passent exactement par un ensemble de données. Dans ce cadre, l'objectif principal de cette thèse est de présenter des méthodes d'interpolation de données 2D et 3D au moyen de courbes Algébriques Trigonométriques à Hodographe Pythagorien (ATPH). Celles-ci sont utilisables pour la conception de modèles géométriques dans de nombreuses applications. En particulier, nous nous intéressons à la modélisation géométriq
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45

Dousteyssier, Buvat Hélène. "Sur des techniques déterministes et stochastiques appliquées aux problèmes d'identification." Université Joseph Fourier (Grenoble), 1995. http://tel.archives-ouvertes.fr/tel-00346058.

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Ce travail porte sur les aspects numériques de la résolution de problèmes inverses non linéaires gouvernés par des équations aux dérivées partielles, à l'aide des techniques du contrôle optimal. Nous nous sommes limités dans cette thèse à l'étude de deux problèmes: identification du coefficient de diffusion de la chaleur, identification de sources non linéaires dans des e. D. P. Elliptiques. Ces deux problèmes sont résolus numériquement à l'aide d'une approche lagrangienne, les fonctions sont identifiées par leurs coefficients dans une base de B-splines cubiques. Ces problèmes étant mal posés,
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46

Siu, Selina. "Computer Aided Ferret Design." Thesis, University of Waterloo, 2003. http://hdl.handle.net/10012/1184.

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Ferrets are amusing, flexible creatures that have been under represented in computer models. Because their bodies can assume almost any curved shape, splines are the natural tool for modelling ferrets. Surface pasting is a hierarchical method of modelling with spline surfaces, where features are added onto a base surface. Existing surface pasting techniques are limited to modelling rectilinear shapes. Using the task of modelling a ferret as a driving force, I propose a method of pasting cylinders in world space; I looked at methods for reducing distortion of pasted features; and
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47

Baroth, Julien. "Analyse par éléments finis stochastiques de la propagation d'incertitudes dans un modèle mécanique non linéaire." Phd thesis, Université Blaise Pascal - Clermont-Ferrand II, 2005. http://tel.archives-ouvertes.fr/tel-00397666.

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Alternatives aux méthodes de Monte-Carlo pour le traitement des problèmes de propagation d'incer- titudes dans les modèles mécaniques structuraux, les méthodes d'éléments finis stochastiques (MEFS) connaissent un succès grandissant depuis une dizaine d'années, concrétisée par de nombreux travaux de recherche internationaux. Le présent travail est une contribution à ces recherches et son but est double. D'une part, considérant la MEFS spectrale (Ghanem & Spanos, 1991), qui est actuellement très utilisée, nous en faisons une présentation détaillée afin d'en cerner les limites. Cette méthode, ess
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48

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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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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Chuang, Jien-Ching, та 莊健青. "Ｂλ-spline Curves and Surface--B-spline Curves and Surfaces for Interpolation and Local Shape Control". Thesis, 1997. http://ndltd.ncl.edu.tw/handle/80142250601199053546.

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碩士<br>國立臺灣大學<br>造船工程學系<br>85<br>In the field of Computer Aided Geometric Design, there are a lot of method can be used for representation or design of curves. Regarding the generating of free form curves, B-spline curve is one of the often used method. Problems are encountered when applying B-splines for interpolating a curve, because they can not represent some specified local curve shape very well. Bλ- spline curves are constructed by dividing a B-spline curve segment into λsub-segments f
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