Class A Bézier空間曲線の対話的生成と典型的空間曲線の性質

抄録

Space curves are usually defined with two planar curves on projected planes. In such a method, it is not easy to control the shape of the curve nor the curvature or torsion variations. 3D Class A Bézier curves are curves with monotonically varying curvature and torsion proposed by Farin. We first clarify the geometric characteristics of 3D typical class A Bézier curves and present a method for interactively generating them by specifying two endpoints and their tangents. General 3D class A Bézier curves are generated by changing parameters that are used for generating 3D typical class A Bézier curves. Both typical and general 3D class A Bézier curves are generated fully interactively. For typical class A Bézier curves, we show experimental drawable regions.