论文标题
使用正常和形状的牛顿方法的总变化，网状降解和插入
Mesh Denoising and Inpainting using the Total Variation of the Normal and a Shape Newton Approach
论文作者
论文摘要
我们提出了一种新颖的方法来降级和介绍表面网格的问题。这些问题的目的是消除噪音或填充缺失的零件，同时保留重要的特征，例如锋利的边缘。单位正常向量场总变化的离散变体是实现这些目标的正规功能。为了解决所产生的问题，我们使用了适合该问题的Bregman（ADMM）迭代的版本。与早期方法相比，总变化正常器的新公式以及使用不精确的牛顿方法进行形状优化步骤。包括数值示例，以一些复杂的3D几何形状来证明我们的算法的性能。
We present a novel approach to denoising and inpainting problems for surface meshes. The purpose of these problems is to remove noise or fill in missing parts while preserving important features such as sharp edges. A discrete variant of the total variation of the unit normal vector field serves as a regularizing functional to achieve these goals. In order to solve the resulting problem, we use a version of the split Bregman (ADMM) iteration adapted to the problem. A new formulation of the total variation regularizer, as well as the use of an inexact Newton method for the shape optimization step, bring significant speed-up compared to earlier methods. Numerical examples are included, demonstrating the performance of our algorithm with some complex 3D geometries.
