On certain plane curves with many integral points.
Rodriguez Villegas, Fernando, Voloch, José Felipe (1999)
Experimental Mathematics
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Rodriguez Villegas, Fernando, Voloch, José Felipe (1999)
Experimental Mathematics
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Sakai, Fumio, Salem, Mohammad, Tono, Keita (2010)
Beiträge zur Algebra und Geometrie
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Vlachkova, Krassimira, Boikova, Marina (2011)
Serdica Journal of Computing
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We present a new program tool for interactive 3D visualization of some fundamental algorithms for representation and manipulation of Bézier curves. The program tool has an option for demonstration of one of their most important applications - in graphic design for creating letters by means of cubic Bézier curves. We use Java applet and JOGL as our main visualization techniques. This choice ensures the platform independency of the created applet and contributes to the realistic 3D visualization....
Bancsik, Zsolt, Juhász, Imre (1999)
Journal for Geometry and Graphics
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Hassler Whitney (1937)
Compositio Mathematica
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Akira Matsuda, Katuhiko Morita (1976)
Aplikace matematiky
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Mohsen Madi (2004)
International Journal of Applied Mathematics and Computer Science
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In applications such as CNC machining, highway and railway design, manufacturing industry and animation, there is a need to systematically generate sets of reference points with prescribed arclengths along parametric curves, with sufficient accuracy and real-time performance. Thus, mechanisms to produce a parameter set that yields the coordinates of the reference points along the curve Q(t) = {x(t), y(t)} are sought. Arclength parameterizable expressions usually yield a parameter set...
Edoardo Ballico, Paolo Oliverio (1983)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In questa nota si danno dei criteri per la stabilità di fasci di quartiche piane.
S. Y. Orevkov, M. G. Zaidenberg (1993)
Cours de l'institut Fourier
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Crâşmăreanu, Mircea (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Ali Uçum, Kazım İlarslan, Ivaïlo M. Mladenov (2016)
Open Mathematics
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In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more details the generalized Sturmian spirals in the Lorentz-Minkowski plane which simultaneously are elastics in this space.