快速网格去噪声算法

消除网格噪声是构造完美三维模型过程中必不可少的一步。通过把图像处理领域中的双向滤波引入到三维网格上，Fleishman等虽已提出了一种快速、简单的网格去噪声算法，但该算法效率较低，且不够稳定，为此提出用准柯西函数和泰勒多项式函数取代该算法所采用的高斯函数，并改进和完善了其中的细节部分，以使算法的效率和稳定性得到进一步提高。最后还讨论了如何选择合适的参数，以达到最佳效果的问题。

Fast Algorithm for Mesh Denoising

Mesh denoising is an essential step in creating perfect 3D models. By adopting bilateral filtering from image denoising to 3D mesh denoising, Fleishman -et al.- proposed a simple and fast anisotropic mesh denoising algorithm, which is not efficient or stable enough. For these reasons, this paper proposes to use quasi-Cauchy kernel and Taylor polynomial to replace the Gauss kernel used in bilateral filtering. In the mean time, some of the implementation details are improved. All of these make the algorithm more efficient and stable. At last, the choice of appropriate parameters to achieve best result is demonstrated.