摘要
针对具有复杂结构的三角网格模型的保角参数化的面积变形较大的问题,提出了一种优化方法。方法首先固定保角参数网格的边界顶点,然后通过保角参数网格的顶点的平均值坐标权和面积变形因子得到内部顶点在平面上对应顶点的线性方程组,求解该线性方程组即得优化后的参数化。通过典型的三角网格模型的实验比较可以看出,所得的参数化的角度变形接近于保角参数化,但是面积变形明显减少。
An optimization method is presented for solving the problem which is that conformal parameterizations of objects with complicated structure have large area distortion.The boundary vertices of the conformal parametric mesh are firstly fixed.Then a linear system about the corresponding inner vertices in the plane is generated according to the mean value coordinates and the area distortion factors of the vertices of the conformal parametric mesh.The optimized parameterization can be generated by solving the linear system.According to some experiments and comparisons taken on some typical triangular meshes,the angle distortion of the optimized parameterizations generated is close to the conformal parameterizations,but the area distortion is much lower.
出处
《东北电力大学学报》
2012年第1期71-74,共4页
Journal of Northeast Electric Power University
基金
东北电力大学博士科研启动基金(BSJXM-200912)
关键词
三角网格
保角参数化
面积变形
Triangular mesh
Conformal parameterization
Area distortion
