Abstract
In order to create an aesthetic surface, it is essentially important to consider the curvature variation. We have developed a method to generate a surface using a curve-ruler that moves along two guide curves. Curve-rulers have a monotonous curvature variation, therefore, the ruler-suraface is guaranteed to have good quality. In this study, we re-formulate the expression of the ruler-suface to be parametric form and introduce another type of constraint condition, that is, the tangent of the ruler-surafece on the guide curve can be specified by designer. Examples show that the presented method works well. In addition to this, we also present a methodology for generating guide curves to create high quality surface. With this method designer only have to input some control points of the guide curve to generate an aesthetic surface.
