【摘要】 为了得到全局G1连续的曲面模型 ,给出了带有边界约束的散乱数据点B样条曲面最小二乘逼近重构方法 ,并以四边界位置约束和四边界跨界切矢约束情况为例 ,进行了详细讨论 实验表明 ,文中给出的方法可以使曲面模型达到近似G1连续 ,其精度完全可以满足实际工程需要更多还原

【Abstract】 In order to obtain a globally G 1 continuous surface model, least square approximation of B spline surfaces to scattered data with complicated boundary constraints is applied As an example, solution to the most complex constraining conditions of continuity over four boundaries and cross boundary tangency is addressed in detail Application shows that the surface model can reach approximate global G 1 continuity and satisfy the engineering requirements更多还原