Title :
Curvature and the fairness of curves and surfaces
Author :
Farin, Gerald ; Sapidis, Nickolas
Author_Institution :
Dept. of Comput. Sci., Arizona State Univ., Tempe, AZ, USA
fDate :
3/1/1989 12:00:00 AM
Abstract :
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.<>
Keywords :
computational geometry; curve fitting; splines (mathematics); aesthetic requirements; computational geometry; cubic spline curve; curvature plot; curvature plots; curve fairness; Application software; CADCAM; Computer aided manufacturing; Computer graphics; Design automation; Inspection; Process design; Production; Shape control; Spline;
Journal_Title :
Computer Graphics and Applications, IEEE
