Abstract
This paper presents a new method to generate free-form curves and surfaces whose curvatures change smoothly. The smooth curvature changes are realized by reconstructing connection points and minimizing the measure related to smoothness of curvature change. Connection points of generated curves and surfaces are reconstructed based on the discrete geometry models. The free parameters of generated curves and surfaces are determined by numerical optimization of the function that expresses the smoothness of curvature change. NURBS curves and surfaces with smooth curvature change are generated by this method. The generated curves and surfaces pass near the points specified by a designer.
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