Isotropic Surface Remeshing without Large and Small Angles

We introduce a novel algorithm for isotropic surface remeshing which progressively eliminates obtuse triangles and improves small angles. The main novelty of the proposed approach is a simple vertex insertion scheme that facilitates the removal of large angles, and a vertex removal operation that improves the distribution of small angles. Combined with other standard local mesh operators, e.g., connectivity optimization and local tangential smoothing, our algorithm is able to remesh alow-quality mesh surface efficiently. Our approach can be used as a post-processing step following other remeshing approaches or applied directly. Our method has a similar computational efficiency compared to the fastest approach available, i.e., real-time adaptive remeshing [1]. Compared with state-of-the-art approaches, our method consistently generates better results evaluated by different metrics.

本论文提出了一种新型的各向同性表面重新网格化算法，该算法逐步消除钝角三角形并优化小角度。所提方法的主要创新点在于一种简明的顶点插入机制，它有助于去除大角度，以及一种顶点移除操作，该操作有助于改善小角度的分布。结合其他标准的局部网格操作，例如连接优化和局部切向平滑，我们的算法能够高效地对低质量网格表面进行重新网格化。该方法可作为其他重新网格化方法的后期处理步骤使用，或直接应用。与最快速的方法相比，例如实时自适应重新网格化[1]，我们的方法在计算效率上具有相似性。与最先进的方法相比，我们的方法在不同指标评估下均能持续生成更优的结果。