基于laplacian坐标修正的sqrt(3)细分法

根据原始网格对细分极限曲面的影响分析，提出了基于laplacian坐标修正的sqrt(3)插值网格细分方法。通过插值出面片中心点的laplacian坐标，来对动态生成的中心点进行修正，达到保持原始网格细节的目的。在非封闭网格的边界面片细分方面，指出了原始3细分法的不足，提出了一种新的边界统一细分模式，它可以很好地控制边界面片的增长，而且具有稳定性和易于操作性。实验结果表明，该方法不仅能够让原始网格的细节在极限曲面上得到表达，而且可以得到一个连续光滑的曲面网格。

sqrt(3) Subdivision Based on Laplacian Coordinate

According to the influence of the original mesh on the subdivided limited surfaces, we proposed a sqrt(3)subdivision method based on the laplacian coordinate. In order to preserve the details of the original mesh, the laplacian coordinate of the face's central point was interpolated and was used to modify itself. In side of the boundry face subidivision of the uncloseness mesh, we pointed out the lack of the original sqrt(3) method and proposed a new unified boundry-subdivided method. It can control the incrcasement of the faces and has the advantage of the stability, operability. The result of the experiment shows that the method can make the original mesh reveal on the limited surface and a limited smooth surface mesh can also be obtained.