摘要
分析总结前人在面绘制方面工作的基础上,提出了一种极大地提高曲面绘制精度的数学方法——有理函数插值方法,可以有效的克服MC算法(Marching cubes)?MT算法(Marching tetrahedron)等由于采用线性插值而引起的在连接三角形面片时所造成的连接二义性问题以及拓扑不一致性问题。从实际数据的三维重建中可以看出使用该方法所绘制的等值面美观?光滑,具有很高的应用价值。
This paper proposed a mathematical model that significantly improves the precision of surface rendering.This method is based on the rational function interpolation technique and can effectively overcome the ambiguity problems and topological inconsistencies in the connection of triangular surfaces.These problems are caused by the use of linear interpolation in MC algorithm(Marching cubes) and MT algorithm(Marching tetrahedron).The numerical experiments have demonstrated the high quality three-dimensional surface reconstruction based on the proposed method.
出处
《中国传媒大学学报(自然科学版)》
2010年第3期28-32,共5页
Journal of Communication University of China:Science and Technology
关键词
三维重建
面绘制
MC算法
有理函数插值
three-dimensional reconstruction
surface rendering
rational function interpolation and MC algorithm