On the arc length of parametric cubic curves.
Bancsik, Zsolt, Juhász, Imre (1999)
Journal for Geometry and Graphics
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Bancsik, Zsolt, Juhász, Imre (1999)
Journal for Geometry and Graphics
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G. Ellingsrud, Stein Arild Stromme (1995)
Mathematica Scandinavica
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Tölke, Jürgen (1999)
Beiträge zur Algebra und Geometrie
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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...
Dragoş, Petru (1998)
Beiträge zur Algebra und Geometrie
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Ronald van Luijk (2011)
Acta Arithmetica
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Mošová, Vratislava
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A. Dolcetti, G. Pareschi (1988)
Mathematische Zeitschrift
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Mark D. Schlatter (2005)
Visual Mathematics
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Paulus Gerdes (2002)
Visual Mathematics
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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....