Visualization of Infinitesimal Bending of Curves

Ljubica S. Velimirović (), Svetozar R. Rančić () and Milan Lj. Zlatanović ()
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Ljubica S. Velimirović: University of Niš
Svetozar R. Rančić: University of Niš
Milan Lj. Zlatanović: University of Niš

A chapter in Approximation and Computation, 2010, pp 469-480 from Springer

Abstract: Abstract Infinitesimal bending of curves in E 3 is considered and an infinitesimal bending field is determined and discussed. A special case of deformation of a plane curve staying plane under infinitesimal bending is analyzed. Also, the variations of the curvature and the torsion are obtained. Infinitesimal bending of an ellipse and Cassini curve are discussed and presented graphically. We present our tool InfBend aimed at infinitesimal deformation and visualization of curves and surfaces. It is written in C++ and uses OpenGL for modelling three-dimensional curves and surfaces.

Keywords: Plane Curve; Initial Curve; Rotational Surface; Expression Tree; Partial Derivation (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-6594-3_32

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DOI: 10.1007/978-1-4419-6594-3_32

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