Relevant bibliographies by topics / Bezier-de Casteljau curves

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  2. Dissertations / Theses
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Academic literature on the topic 'Bezier-de Casteljau curves'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Bezier-de Casteljau curves"

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TSIANOS, KONSTANTINOS I., and RON GOLDMAN. "BEZIER AND B-SPLINE CURVES WITH KNOTS IN THE COMPLEX PLANE." Fractals 19, no. 01 (2011): 67–86. http://dx.doi.org/10.1142/s0218348x11005221.

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We extend some well known algorithms for planar Bezier and B-spline curves, including the de Casteljau subdivision algorithm for Bezier curves and several standard knot insertion procedures (Boehm's algorithm, the Oslo algorithm, and Schaefer's algorithm) for B-splines, from the real numbers to the complex domain. We then show how to apply these polynomial and piecewise polynomial algorithms in a complex variable to generate many well known fractal shapes such as the Sierpinski gasket, the Koch curve, and the C-curve. Thus these fractals also have Bezier and B-spline representations, albeit in
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Juhari, Juhari. "Modification of the Curve and the Surface Polynomial Bezier Using de Casteljau Algorithm." CAUCHY 5, no. 4 (2019): 210. http://dx.doi.org/10.18860/ca.v5i4.6346.

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<p class="Abstract">Research carried out to obtain a Bezier curve of degree six resulting curvature of the curve is more varied and multifaceted. Stages in formulating applications Bezier surfaces revolution in design, there are three marble objects. First, calculate the parametric representation revolution Bezier surface and shape modification in a number of different forms. Second, formulate Bezier parametric surfaces that are continuously incorporated. Lastly, apply the formula to the design objects using computer simulation. Results marble obtained are Bezier curves of degree six mod
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Rudek, Marcelo, Yohan B. Gumiel, Osiris Canciglieri Jr, Naomi Asofu, and Gerson L. Bichinho. "A CAD-BASED CONCEPTUAL METHOD FOR SKULL PROSTHESIS MODELLING." Facta Universitatis, Series: Mechanical Engineering 16, no. 3 (2018): 285. http://dx.doi.org/10.22190/fume170618018r.

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The geometric modeling of a personalized part of the tissue built according to individual morphology is an essential requirement in anatomic prosthesis. A 3D model to fill the missing areas in the skull bone requires a set of information sometimes unavailable. The unknown information can be estimated through a set of rules referenced to a similar yet known set of parameters of the similar CT image. The proposed method is based on the Cubic Bezier Curves descriptors generated by the de Casteljou algorithm in order to generate a control polygon. This control polygon can be compared to a similar
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Tolok, Alexey, Nataliya Tolok, and Anastasiya Sycheva. "Construction of the Functional Voxel Model for a Spline Curve." Proceedings of the 30th International Conference on Computer Graphics and Machine Vision (GraphiCon 2020). Part 2, December 17, 2020, paper52–1—paper52–11. http://dx.doi.org/10.51130/graphicon-2020-2-3-52.

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Analytical models are the most accurate method of geometric information representation. Parameterized smooth curves cannot be used in the field of analytical geometry, which explains the necessity for finding of analytical representation of such curves. The article considered the construction of a smooth curve presented in an analytical form and some approaches to finding an analytical model for a parametric Bezier curve. А presentation of a function in the form of its functional areas was chosen as prototype of the analytical model. The selected representation formed on the basis of the De Ca
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Dissertations / Theses on the topic "Bezier-de Casteljau curves"

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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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Alencar, Tiago da Silva. "Curvas de Bezier em grupos de Lie e esferas S2 usando o algoritmo de De Casteljau." Universidade Federal do CearÃ, 2010. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=4891.

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Universidade Federal do CearÃ<br>Neste trabalho estudaremos uma generalizaÃÃo do algoritmo de De Casteljau, que à um procedimento recursivo para construÃÃo de curvas de Bezier em espaÃos euclidianos, para grupos de Lie e esferas S2, com Ãnfase nas curvas de Bezier de grau 3.<br>In this paper we study a generalization of the De Casteljau algorithm, which is a recursive procedure for constructing Bezier curves in euclidean space, for Lie groups and spheres S2, with emphasis on Bezier curves of degree 3.
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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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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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Conference papers on the topic "Bezier-de Casteljau curves"

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Bodduluri, R. M. C., and B. Ravani. "Geometric Design and Fabrication of Developable Bezier Surfaces." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0172.

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Abstract In this paper we study Computer Aided Geometric Design (CAGD) and Manufacturing (CAM) of developable surfaces. We develop direct representations of developable surfaces in terms of point as well as plane geometries. The point representation uses a Bezier curve, the tangents of which span the surface. The plane representation uses control planes instead of control points and determines a surface which is a Bezier interpolation of the control planes. In this case, a de Casteljau type construction method is presented for geometric design of developable Bezier surfaces. In design of piece
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Park, Frank C., and Bahram Ravani. "Bézier Curves on Riemannian Manifolds and Lie Groups With Kinematics Applications." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0173.

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Abstract In this article we generalize the concept of Bézier curves to curved spaces, and illustrate this generalization with an application in kinematics. We show how De Casteljau’s algorithm for constructing Bézier curves can be extended in a natural way to Riemannian manifolds. We then consider a special class of Riemannian manifold, the Lie groups. Because of their algebraic group structure Lie groups admit an elegant, efficient recursive algorithm for constructing Bézier curves. Spatial displacements of a rigid body also form a Lie group, and can therefore be interpolated (in the Bezier s
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