曲線集合からの細分割曲面生成手法

Abstract

In CAID (Computer Aided Industrial Design) systems, a free form surface design generally starts with defining characteristic curves in 3D space. Based on these characteristic curves, basic curved surfaces are then generated so as to interpolate them. It is required that these curves be connected in order to compute interpolating surface patches. However, it is desirable to give the designers more freedom to allow them to define the characteristic curves without considering their connectivity. In this research, we propose a method called "Curve Wrapping" to generate the connectivity from a set of unconnected characteristic curves by using "a graph searching mesh" technique. And using this connectivity, the curves are adapted to form a graph so that subdivision surfaces are generated using a subdivision surface fitting method and the "combined subdivision" method. A prototype system was developed to evaluate the approach using some examples.