保持型面特征的网格曲面光顺算法

Smoothing Algorithm Preserving Surface Features for Mesh Surface

针对网格曲面光顺存在局部型面细节丢失及整体光顺效果差的问题,结合三角Bézier面片具有精确插值产品型面的优点及G1连续曲面具备整体光顺的特性,提出一种保持型面特征的网格曲面光顺方法,该方法从原始网格曲面提取型面特征网格,将其作为参数域构建G1连续光顺参考曲面,通过将网格曲面顶点调整到参考曲面上,实现网格曲面的光顺处理。实验证明该方法可在有效保留原始网格曲面细节特征的情况下获得理想的整体光顺效果,并且具备较高的运行效率。

A ccording to the smoothingproblem of partiol type surface details loss ing and the poor whole smoothing effect for mesh surface, combined with the triangular Bezier surface＇s advantage of precise interpolation and the G^1 continuous surface＇s characteristic of the whole smoothing, a smoothing algorithm with surface features preservation for mesh surface was proposed, which included three steps： first, the type surface features mesh was achieved from the original mesh surface; second, the obtained mesh was viewed as parameter domain to construct the G1 Continuous smoothing reference surface; third, the mesh vertexes were adjusted to the reference surface in order to realize the smoothing treatment. Experimental results demonstrate that this method can maintain the features of the original mesh surface effectively and realize the clesirable whole smoothing effect rapidly.