关键词: 多角形域, 四边形域, 二次函数, C¹光滑拼接

Abstract: Using the theory of bivariate Hermite interpolation, we found the necessary condition of a quadratic function’s continuity on a triangular vertex and proved the existence of one quadratic function that is C¹blendingwith three given quadratic functions. Furthermore, we investigated the problems of C¹ blending in a open multiangular field and close quadrangular field respectively.

Key words: multiangular field, quadrangular field, quadra tic functions, C¹smooth blending