はん用CADにおける節点挿入によるBスプライン曲線の局所修正法

概要

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Computer-aided design (CAD) systems are being used for total design from conceptual design to detailed design. In general it is difficult to modify the resultant curve in the present CAD systems. However， for a designer faithful reproduction of image is crucial. Hence， the present study concerns with the development of new method for the modification of B-spline curve. The method essentially involves localized insertion of additional knots. The area of influence of each control point become very restricted due to the increase in number of control points. This will in tum help in the local modification of curve and in acheiving mathematical smoothness. In addition， we also propose another novel method based on combination of two ways of insertion of knots and inverse transformation， for local modification of B-spline curve.