Displaying similar documents to “A noteworthy property of the tridens curve in the isotropic plane.”

Interactive 3D Visualization of Bézier Curves using Java Open Graphics Library (JOGL)

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....

Closed-form expressions for the approximation of arclength parameterization for Bézier curves

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...

Stability of pencils of plane quartic curves

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.

Elastic Sturmian spirals in the Lorentz-Minkowski plane

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.