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Curvature and the fairness of curves and surfaces
March/April 1989 (vol. 9 no. 2)
pp. 52,53,54,55,56,57
The use of curvature plots for the design of curves that have to meet aesthetic requirements is discussed. The aim is to emphasize the usefulness of curvature as a measure for curve fairness. A local method to optimize the curvature plot of a given cubic spline curve is presented. It automatically determines where the curve is to be faired and can be applied repeatedly. A straightforward generalization to surfaces is easy to formulate.<>

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Index Terms:
splines (mathematics),computational geometry,curve fitting,cubic spline curve,computational geometry,curvature plots,aesthetic requirements,curve fairness,curvature plot,Shape control,Spline,Design automation,Production,Inspection,Process design,Computer graphics,Application software,Computer aided manufacturing,CADCAM
"Curvature and the fairness of curves and surfaces," IEEE Computer Graphics and Applications, vol. 9, no. 2, pp. 52,53,54,55,56,57, March-April 1989, doi:10.1109/38.19051
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