Vertex-Based Diffusion for 3-D Mesh Denoising（三维网格去噪中基于顶点的扩散算法）

Abstract—We present a vertex-based diffusion for 3-D mesh denoising by solving a nonlinear discrete partial differential equation.The core idea behind our proposed technique is to use geometric insight in helping construct an efficient and fast 3-D mesh smoothing strategy to fully preserve the geometric structure of the data. Illustrating experimental results demonstrate a much improved performance of the proposed approach in comparison with existing methods currently used in 3-D mesh smoothing.

我们提出了一种基于顶点扩散的三维网格去噪方法，通过求解一个非线性离散偏微分方程。我们提出的技术背后的核心思想是利用几何洞察力来帮助构建高效快速的三维网格平滑策略，以充分保留数据的几何结构。实验结果表明，与现有的三维网格平滑方法相比，该方法具有更好的性能。