輪郭曲線および断面曲線によって定義された曲面の創成法

抄録

This paper describes a method of generation of the surface defined with contour and sectional curves. The method is a modification of the least curvature error method which was developed for the generation of the surface defined with contour curves only. The generated surface is expressed as a whole in a parametric bicubic spline surface, and it has continuous cross curvature on the sectional curves. The method requires target second derivatives at all knot points, and the quality of shape of the surface depends on these derivatives. Therefore giving consideration to the characteristics of surface is desirable when deciding target derivatives. However some examples show that even simply interpolated target derivatives are able to generate a low-error surface.