关键词: 过渡曲面, 过渡组合函数, 接触线, 辅助面

Abstract:

Based on blending surface method by combination functions,a new algorithm of designing G1 continuous curve on the base surface was proposed. Given an arbitrary sequence of points and the tangent directions of the points,a space curve can be designed. By using the normal projection method,the curve was projected orthogonally onto the base surface
and thus the blending contact curve  was obtained. In this way, the contact curve can be placed at the appropriate position according to the design requirements as the borderline of the blending surface. The new methods were presented to generate auxiliary surface and reparameterize local base surface, which extended the capability of the blending method. The effectiveness and feasibility of the new algorithm were illustrated with an instance of blending wing body.

Key words: transition surface, blending function, contact curve, auxiliary surface