1989 年 55 巻 1 号 p. 99-104
This paper describes criteria and generation methods of a curve which has monotonously and smoothly varying curvature under the constraints of tangent directions and curvature values at arbitrary points on the curve. The criteria are represented by the first and second derivatives of curvature and shown as regions of the m-n space whose coordinates are normarized lengths of Bézier edge vectors. The sufficient condition of the criteria is introduced by geometrically determining a control polygon of a Bézier curve with relation to its angles and edge lengths. And these Bézier curves are connected smoothly to satisfy the constraints.