CAJ | 학술논문

提出了一种三角网格模型变形算法,采用最小二乘法求解三角网格模型变形设计的参考曲面,将网格顶点向参考曲面投影,建立网格顶点与投影点间的映射关系,通过调整参考曲面控制顶点,根据投影点位移量调整网格顶点坐标,采用三角Bézier曲面理论进行网格模型光顺处理,实例证明该方法可准确控制模型形状,有效提高三角网格模型的光顺性及变形设计效率.
제출료일충삼각망격모형변형산법,채용최소이승법구해삼각망격모형변형설계적삼고곡면,장망격정점향삼고곡면투영,건립망격정점여투영점간적영사관계,통과조정삼고곡면공제정점,근거투영점위이량조정망격정점좌표,채용삼각Bézier곡면이론진행망격모형광순처리,실예증명해방법가준학공제모형형상,유효제고삼각망격모형적광순성급변형설계효솔.
A design algorithm of a triangular mesh model was proposed, that included four steps: first, the reference surface of the triangular mesh model was obtained with least square method; second, the projection point of vertex on mesh was calculated and the mapping relationship of mesh vertex and projection point was built; third, the coordinates of mesh vertexes were changed according to the displacement of projection points when adjusting the control points of reference surface; and fourth, the fairing of mesh model was built with triangular Bézier surface design method, which proved that the deformation region of triangular mesh model was effectively controlled.The smoothness of mesh model and the efficiency of innovative deformation designing have been improved effectively.