Quantifying the effect of a control point on the sign of curvature |
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Authors: | E I Karousos A I Ginnis P D Kaklis |
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Affiliation: | (1) School of Naval Architecture and Marine Engineering, National Technical University of Athens, Zografou Campus, Iroon Polyterneiou 9, 15780 Zografou, Greece |
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Abstract: | We present a method for computing the domain, where a control point is free to move so that the corresponding planar curve
is regular and of constant sign of curvature along a subinterval of its parametric domain of definition. The approach encompasses
all curve representations that adopt the control-point paradigm and is illustrated for a quintic Bézier curve and a B-spline curve of degree 10. |
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Keywords: | 65D17 68U07 |
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