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Dissertations / Theses on the topic 'Bezier curve'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Pastva, Tim A. "Bezier curve fitting." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1998. http://handle.dtic.mil/100.2/ADA350611.

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Thesis (M.S. in Applied Mathematics) Naval Postgraduate School, September 1998.<br>"Spetember 1998." Thesis adviso(s): Carlos F. Borges. Includes bibliographical references (p. 57). Also available online.

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Cairo, Giuseppe. "Curve di Bezier e Calcolo Numerico." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2012. http://amslaurea.unibo.it/4463/.

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Strada, Alberto Riccardo. "Polinomi di Bernstein e curve di Bezier." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/6302/.

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Questo lavoro si pone come obiettivo l'approfondimento della natura e delle proprietà dei polinomi espressi mediante la base di Bernstein. Introdotti originariamente all'inizio del '900 per risolvere il problema di approssimare una funzione continua su un intervallo chiuso e limitato della retta reale (Teorema di Stone-Weierstrass), essi hanno riscosso grande successo solo a partire dagli anni '60 quando furono applicati alla computer-grafica per costruire le cosiddette curve di Bezier. Queste, ereditando le loro proprietà geometriche da quelle analitiche dei polinomi di Bernstein, risultano i

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Miles, William. "Bezier curve based lattice planner and lateral controller for highway scenarios." Thesis, KTH, Skolan för industriell teknik och management (ITM), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-265584.

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The autonomous driving technology is transforming the road-based transport industry into a new era that will change the way we think about transport solutions. With advancements in computational power and sensor precision, self-driving vehicles are predicted to be a reality in the near future. This thesis proposes a spatiotemporal motion planner for highway scenarios. The planner is designed to consider static and dynamic obstacles to find a suboptimal and collision-free trajectory. The driveable region is sampled using a state-lattice to reduce oversampling and generates paths from different

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5

Степанов, К. А. "Сравнение алгоритмов поиска опорных вершин кривой Безье при помощи генетических алгоритмов". Thesis, Сумский государственный университет, 2016. http://essuir.sumdu.edu.ua/handle/123456789/47941.

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Popiel, Tomasz. "Geometrically-defined curves in Riemannian manifolds." University of Western Australia. School of Mathematics and Statistics, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0119.

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[Truncated abstract] This thesis is concerned with geometrically-defined curves that can be used for interpolation in Riemannian or, more generally, semi-Riemannian manifolds. As in much of the existing literature on such curves, emphasis is placed on manifolds which are important in computer graphics and engineering applications, namely the unit 3-sphere S3 and the closely related rotation group SO(3), as well as other Lie groups and spheres of arbitrary dimension. All geometrically-defined curves investigated in the thesis are either higher order variational curves, namely critical points o

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Lipa, Matúš. "Interaktivní webové výukové aplikace z oblasti vektorové grafiky." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2019. http://www.nusl.cz/ntk/nusl-400884.

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This work deals with the creation of several interactive web applets for education of vector graphics. Described is the image signal, his discretization, vector and bitmap types of image record. Further they describe selected vector curves, their properties, algorithms for their construction and usage. The principles of rasterization of basic vector objects are explained. Using the Figma tool, graphical user interfaces for each applet are designed. These applets are implemented using HTML and Javascript. The implemented applets are placed on web pages that are used in computer graphics educati

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Calcoen, Emmanuelle. "Approximation polygonales d'objets convexes du plan pour la geometrie algorythmique." Université Joseph Fourier (Grenoble), 1996. http://www.theses.fr/1996GRE10025.

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La geometrie algorithmique a resolu de tres nombreux problemes sur des structures lineaires: ensembles de points, polygones dans cette these, nous nous interessons a des problemes de geometrie algorithmique concernant des objets non lineaires. Pour cela, nous introduisons la notion de convexe-f b, objet convexe du plan dont la frontiere est une union convexe de courbes de bezier dont les polygones de controle sont convexes. Nous sommes naturellement amenes a etudier les relations entre une courbe de bezier convexe et la convexite des polygones obtenus par subdivision. Pour tout convexe-f b, pa

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Hüge, Carsten. "Geometrieoptimierung eines Kunststoff-Druckbehälters mittels parametrischer Bezierkurven." Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-86992.

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Die Geometrie eines Druckbehälters wird unter Zuhilfenahme parametrischer Bezierkurven und durch die Integration einer externen Mathcad-Analyse in Creo hinsichtlich einer harmonischen, meridianen Spannungsverteilung optimiert.

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Liu, Zehao. "Obstacle Avoidance Path Planning for Worm-like Robot." Case Western Reserve University School of Graduate Studies / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=case1619457610715525.

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Deddi, Hafsa. "Dualité géométrique et relations de correspondance entre courbes primales et duales." Phd thesis, Université Joseph Fourier (Grenoble), 1997. http://tel.archives-ouvertes.fr/tel-00004935.

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Cette thèse est une étude de base qui traite de la transformation de la dualité géométrique entre un point et un hyperplan d'un espace affine. Une étape indispensable est alors d'établir une définition rigoureuse de la dualité géométrique ainsi que ses propriétés et caractéristiques. Cette notion de dualité peut se généraliser pour toute forme géométrique décrite à l'aide d'une famille de points ou d'hyperplans. Ainsi une courbe duale d'une courbe paramétrique plane est définie comme enveloppe d'une famille de droites. Ces courbes duales sont ensuite analysées pour trouver des relations de cor

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Malina, Jakub. "Vytvoření interaktivních pomůcek z oblasti 2D počítačové grafiky." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2013. http://www.nusl.cz/ntk/nusl-219924.

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In this master’s thesis we focus on the basic properties of computer curves and their practical applicability. We explain how the curve can be understood in general, what are polynomial curves and their composing possibilities. Then we focus on the description of Bezier curves, especially the Bezier cubic. We discuss in more detail some of fundamental algorithms that are used for modelling these curves on computers and then we will show their practical interpretation. Then we explain non uniform rational B-spline curves and De Boor algorithm. In the end we discuss topic rasterization of segmen

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Dessarce, Rémi. "Calculs par lancer des rayons." Université Joseph Fourier (Grenoble), 1996. http://www.theses.fr/1996GRE10161.

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Les techniques de lancer de rayons ont été développées initialement dans le cadre du calcul d'images de synthèse. Par la suite, d'autres méthodes de rayons de type Monte-Carlo ont été utilisées pour la résolution de problèmes en optique et électromagnétisme. Nous présentons ici une méthode de calcul de la surface équivalente RADAR (S. E. R. ) d'un objet 3D à l'aide d'une méthode de lancer de rayon<br>L’emploi des méthodes asymptotiques nous permet d'obtenir une formulation moderne de l'optique géométrique qui constitue le fondement théorique de toutes les méthodes de rayons<br>La mise en œuvre

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Faulkner, Jay Allen. "Beauty waves: an artistic representation of ocean waves using Bezier curves." Texas A&M University, 2006. http://hdl.handle.net/1969.1/4682.

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In this thesis, we present a method for computing an artistic representation of ocean waves using Bezier curves. Wave forms are loosely based on procedural wave models and are designed to emulate those found in both art and nature. The wave forms are generated using a slice method which is user defined by structured input, thus providing the artist with full control over crest shape and placement. Wave propagation is obtained by interpolating between defined crest shapes and positions. We also present a method for computing a stylized representation of breaking crests in shallow water. Artists

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Varley, Andrew James. "Statistical image analysis methods for line detection." Thesis, University of Cambridge, 1998. https://www.repository.cam.ac.uk/handle/1810/273075.

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Medlej, Maguy. "Big data management for periodic wireless sensor networks." Thesis, Besançon, 2014. http://www.theses.fr/2014BESA2029/document.

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Les recherches présentées dans ce mémoire s’inscrivent dans le cadre des réseaux decapteurs périodiques. Elles portent sur l’étude et la mise en oeuvre d’algorithmes et de protocolesdistribués dédiés à la gestion de données volumineuses, en particulier : la collecte, l’agrégation etla fouille de données. L’approche de la collecte de données permet à chaque noeud d’adapter sontaux d’échantillonnage à l’évolution dynamique de l’environnement. Par ce modèle le suréchantillonnageest réduit et par conséquent la quantité d’énergie consommée. Elle est basée surl’étude de la dépendance de la variance

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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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Škvarenina, Ľubomír. "Interpolace signálů pomocí NURBS křivek." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2014. http://www.nusl.cz/ntk/nusl-220618.

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Diploma thesis deals with image interpolation. The aim of this work is to study theoretically and then describe the nature of the various methods of image interpolation and some of them implemented in the program MATLAB. The introductory part of this work theoretically closer to important terms that are closely related to this topic of digital image processing sufficient to understand the principle. In the following of the thesis will be discussed all of today's commonly used method of image interpolation. Will hear all about the method of image interpolation using nearest neightbor interpolat

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Dickel, Jacob Allen. "Design Optimization of a Non-Axisymmetric Endwall Contour for a High-Lift Low Pressure Turbine Blade." Wright State University / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=wright1534980581177159.

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Bonnelie, Pierre. "Déformations libres de contours pour l’optimisation de formes et application en électromagnétisme." Thesis, Limoges, 2017. http://www.theses.fr/2017LIMO0006/document.

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Dans cette thèse nous développons une technique de déformation pour l'optimisation de formes. Les formes sont représentées par leur frontière, paramétrée par des courbes de Bézier par morceaux. En tant que courbes polynomiales, elles sont définies par leurs coefficients que l'on appelle plutôt points de contrôle. Bouger les points de contrôle revient à modifier la courbe et donc déplacer la frontière des formes. Dans un contexte d'optimisation de formes, ce sont alors les points de contrôle qui sont les variables du problème et l'on a transformé ce dernier en un problème d'optimisation paramét

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Vilar, François. "Utilisation des méthodes Galerkin discontinues pour la résolution de l'hydrodynamique Lagrangienne bi-dimentsionnelle." Thesis, Bordeaux 1, 2012. http://www.theses.fr/2012BOR14605/document.

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Le travail présenté ici avait pour but le développement d'un schéma de type Galerkin discontinu (GD) d'ordre élevé pour la résolution des équations de la dynamique des gaz écrites dans un formalisme Lagrangien total, sur des maillages bi-dimensionnels totalement déstructurés. À cette fin, une méthode progressive a été utilisée afin d'étudier étape par étape les difficultés numériques inhérentes à la discrétisation Galerkin discontinue ainsi qu'aux équations de la dynamique des gaz Lagrangienne. Par conséquent, nous avons développé dans un premier temps des schémas de type Galerkin discontinu j

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Khamlaj, Tariq A. "Analysis and Optimization of Shrouded Horizontal Axis Wind Turbines." University of Dayton / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1543845571758119.

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Schiavon, Laurent. "Conditions de monotonie de la courbure pour les courbes et splines d'interpolation." Valenciennes, 2002. https://ged.uphf.fr/nuxeo/site/esupversions/ebd449f2-087e-4588-b4a1-bedcc9b86660.

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Pour une courbe, la courbure est une grandeur géométrique déterminante pour sa forme. Dans de nombreuses applications de la CAO (automobile, aéronautique), les courbes que l'on cherche à modéliser doivent être à courbure monotone, dans le but d'obtenir des formes aérodynamiques et esthétiques. Dans ce travail, nous apportons des solutions via les courbes polynomiales cubiques et rationnelles quadratiques (arcs coniques) quisont controlées par un ensemble de points (et de masses dans le cas rationnel)<br>For a curve, the curvature is a deciding geometric feature for its shape. For some applicat

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JoungFei, Lin, and 林容妃. "Use Of Cubic Bezier Curve Approximation Of Fourth-order Bezier Curve." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/60903067251696951184.

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碩士<br>國立中正大學<br>應用數學研究所<br>100<br>Want to explore this thesis, the question is: how to use the third-order Bezier curves to approximate the fourth-order Bezier curves. We will use the "degree elevation" skills, our third-order Bezier curves l-order to fourth order. Finally, we use the "least squares approximation "technique to seek the unknown cubic Bezier curves of the four control points, so we can obtain the approximate fourth-order Bezier curves of cubic Bezier curve. Follow-up can be extended to the approximation of higher order.

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LIU, YI-JUN, and 劉毅鈞. "Application of the Bezier curve to curves and surfaces fitting." Thesis, 1987. http://ndltd.ncl.edu.tw/handle/02814440617585129739.

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Pan, Peter, and 羅驥韡. "Piecewise Linear Approximation for Bezier Curve." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/97348876173887051753.

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Lin, Yuan-Hsin, and 林原新. "A Robust Regression Analysis Using Bezier Curve." Thesis, 1997. http://ndltd.ncl.edu.tw/handle/69811610594077136835.

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碩士<br>國立雲林科技大學<br>工業工程與管理技術研究所<br>85<br>In traditional parametric regression, the analysis are made based on a hypothesized model. However; in many situations the models may not be easy to hypothesize, especially in multiple regression. To overcome the difficulty, approaches that are independent of an assumed model have been developed; such as non-parametric regression, GMHD (group method of data handling), BPN (back-error propagation neural network). In this research we present a new regression analysis that uses Bezier curves, that are widely used in computer graphics. The approach estima

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BINGCHUAN, WU, and 武冰川. "The interpolation of discrete points using piecewise Bezier curve." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/bnewjn.

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碩士<br>東吳大學<br>資訊管理學系<br>106<br>The quadrotor has been developed and popularized in society recently. They play an important role in the tasks of photography, disaster relief and exploration. When the quadrotors send its discrete location with time information back, we want to find a curve interpolation method via these discrete data and display immediately. In other words, the flight path of the quadrotor is displayed on the screen smoothly in real time. On the basis of previous studies, the researcher have been able to connect multiple points into a smooth curve. This paper has made further s

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Wu, Hao-Quan, and 吳浩銓. "Analysis and Applications of Bezier Curve in Device and Circuit Simulation." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/27586853490049140226.

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碩士<br>國立中央大學<br>電機工程研究所<br>98<br>In this thesis, we use Bezier Curve for simulating electronic circuit and drawing circuit symbols. First, we introduce first-order Bezier Curve, second-order Bezier Curve, and higher-order Bezier Curve. Then, we use Bezier Curve to develop the device models of operation amplifier and MOSFET. These models will be used for some circuit simulations. Certainly, we will mention the advantages of the Bezier Curve. At last, we show Bezier Curves can be used to construct any electronic circuit symbol such as an inductor.

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Chuang, Wei-Ju, and 莊維如. "Path Planning Optimization Based on Bezier Curve for Nonholonomic Robot Swarm Systems." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/98027769646980463257.

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碩士<br>國立雲林科技大學<br>資訊工程系碩士班<br>100<br>In this thesis, a Bezier Curve based optimizing approach is proposed for path planning of multiple nonholonomic robots which have minimum turning radius constraint. The proposed path planning algorithm consists of global path planner (GP), local motion planner (MP) and optimizing planner (OP). The Voronoi diagram, Memetic algorithm and Bezier curve algorithm are used in the three stages, respectively. In the first stage, the GP, an A* searching algorithm, finds a path within the Voronoi diagram (VD) of the free space. In the second stage, the center of swar

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Sun, Chien-Yuan, and 孫健袁. "A Bezier curve based averaging and local deformation method for drosophila brain model." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/30832925785468261197.

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碩士<br>國立清華大學<br>電機工程學系<br>97<br>As a noted topic of life science, brain research is aimed to solve how people learn and memorize. In Drosophila brain, it is discovered that several brain controlling genes are very similar to human’s, and so as how they function. Thus, Drosophila brain plays an important role for studying simple neural networks and can help figure out such main functions as learning and memory. In order to study the main structures and functions of Drosophila brain, confocal microscope is used to image fluorescent brain slices, and reconstruct individual 3-D brain models, which

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Chung, Kun-Shan, and 鍾坤山. "A Study on Indoor Autonomous Vehicle Integration of Guidance Methods Using Binocular Stereo Vision Based on Bezier Curve Approach." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/02793268358475887719.

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碩士<br>國立臺北科技大學<br>機電整合研究所<br>90<br>In automation applications, it is important to develop an autonomous land vehicle (ALV) navigation system that can imitate human binocular walking in indoor environment. The system firstly needs to find the obvious feature points in the complex environment. Therefore, we have developed a binocular stereovision system on ALV to capture two environmental images from the left and right cameras. Using the Bezier Curve approach, we find an optimal navigating path that can be decided from several obvious feature points, called control points, such as corners of wal

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GOYAL, SAKSHI. "DATABASE WATERMARKING USING BEZIER CURVES." Thesis, 2014. http://dspace.dtu.ac.in:8080/jspui/handle/repository/15382.

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Digital Watermarking has been widely applied to relational database for ownership protection and information hiding. Digital watermarking for databases emerged as a candidate solution to provide copyright protection, tamper detection, traitor tracing, maintaining integrity of database. But robustness is a big challenge due to frequently database maintaining operators on those tuples. Here, we present an effective watermarking technique for relational database that is robust against various attacks. We present an approach which embeds a cubic curve into the database. To accommodate the c

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Li, Po-Yi, and 李柏毅. "Properties of (Rational) Bezier Curves and Surfaces." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/21654724138306620940.

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Shenghsien, Huang, and 黃勝賢. "Reconstruction of 2D graphs by Bezier curves." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/25284225661186610357.

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碩士<br>國立中正大學<br>應用數學研究所<br>100<br>Given a closed simple curve r in 2D and here is a discretization of r with noise. The set P={p_i}^n_{i=1} is formed by r, and then we use the point datas to rebuild the Bezier curves are similar to the original closed simple curve.

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Bonneau, Georges-Pierre. "Variational Design of Rational Bezier Curves and Surfaces." Phd thesis, 1993. http://tel.archives-ouvertes.fr/tel-01064604.

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The design of curves and surfaces in C.A.D. systems has many applications in car, plane or ship industry. Because they offer more flexibility, rational functions are often preferred to polynomial functions to modelize curves and surfaces. In this work, several methods to generate rational Bezier curves and surfaces which minimize some functionals are proposed. The functionals measure a technical smoothness of the curves and surfaces, and are related to the energy of beams and plates in the sense of the elasticity theory.

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Cheng, Youg-Jen, and 鄭詠仁. "Shape Design of Compliant Mechanisms Using Bezier Curves." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/87323341506500807384.

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碩士<br>國立成功大學<br>機械工程學系碩博士班<br>97<br>A method using Bezier curves to design the shape of compliant mechanisms is presented in this thesis. Compared to continuum-element or frame-element based topology design methods, the use of curved beam elements can improve the shape smoothness of compliant mechanisms. Furthermore, the stress concentration can also be reduced. We apply Bezier curves to construct the shape of compliant mechanisms due to their simple expression and ease of manipulating shapes. The analyses of compliant mechanisms are based on an incremental linearization approach. This approac

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Ke, Dn-Hung, and 柯燈鴻. "Improvements on The Algorithm of Subdividing Bezier Curves." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/40414410970210166658.

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碩士<br>淡江大學<br>資訊工程研究所<br>84<br>Computer Graphics now embraces a larger number of application areas, from the fantasy world of film and television to more practical areas such as computer-aided design (CAD) of mechanical engineering parts. The parametric representation of curves is now an established tool in computer graphics. Techniques are now applied in many diverse branches of computer graphics. For example, the techniques are used in object modeling and subsequent interactive design and

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Lin, Syh-Yang, and 林賜緣. "Integrated Bezier curves Tangent to the Variable-Radius Circle." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/49670988797875462116.

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碩士<br>東吳大學<br>資訊科學系<br>93<br>Informally, a geometric constraint problem consists of a (finite) set of geometric objects and a (finite) set of constraints between them. The geometric objects are drawn from a fixed universe such as point, lines, circles and conics in the plane. The constraints are logical constraints such as incidence, tangency, perpendicularity, etc., or metric constraints such as distance or angle. There are two problems we want to solve in this work. The first problem is to find the variable radius circle tangents to 3 geometric objects, such as point, line, circle, and Bezie

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Huang, Ming-Liang, and 黃明亮. "A Study on Offsetting Operators for Bezier Curves and Surfaces." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/55991067284416538268.

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LI, ZHEN-HUA, and 李振華. "Shape control and shape preserving with interpolating bezier curves and surfaces." Thesis, 1989. http://ndltd.ncl.edu.tw/handle/84958281110172476264.

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Li, Ji-Ting, and 李季庭. "A Study of the Application of the Bezier Curves to TrueType Fonts." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/t323u2.

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碩士<br>淡江大學<br>資訊工程學系碩士班<br>104<br>This paper proposes a technique that uses Bezier curves to create TrueType font, which can significantly reduce the number of points needed to describe image outline. The outlines of the characters in TrueType fonts are made up of Bezier curves. To generate the outline of a character, it usually needs a font organization to provide professional knowledge and professional personnel. The outline is formed by manually dragging curves one by one using a mouse. Therefore, it took time for TrueType font to launch onto the market, which limited a number of computer f

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Chen, Yu-Kai, and 陳御鎧. "Optimization Design and Characterization of a Compliant Bistable Mechanism with Bezier Curved Beams." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/63369791043762583536.

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碩士<br>國立中興大學<br>精密工程學系所<br>105<br>In order to generate desired force-displacement relation of beam type compliant bistable mechanisms, Bezier curve is adopted for the design of the beam shape of the mechanisms. Due to the versatility of the Bezier curves, the force-displacement relations of the mechanisms can be designed to meet the demand. The design of the mechanism is based on an optimization design approach. Force-displacement curves are obtained by finite element method. Prototypes are fabricated by a milling machine. The experimental force-displacement curve agrees with the design.

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