用Sqrt（3）和Loop细分方法表示具有尖锐特征的曲面
Surfaces Representation with Sharp Features Using Sqrt(3) and Loop Subdivision Schemes
摘要：
本文提出了一种混合算法，它结合了Sqrt（3）和循环细分方案的特点。该算法的目标是在曲面细分过程中，使用一组规则来保持尖锐特征和修剪区域。由于计算、拓扑和平滑度约束，实现是不平凡的，这些约束应该由底层曲面满足。在这项研究工作中，根本的创新是能够在表面上的任何地方保留尖锐的特征。此外，所得到的表示仍然在多分辨率细分框架内。保留原始表示具有核心优势，即对多分辨率细分曲面的所有适用操作随后都可以应用于编辑后的模型。实验结果，包括表面粗化和平滑，使用该算法进行验证的目的，结果表明，该算法优于其他最新的最先进的算法。
英文摘要：
This paper presents a hybrid algorithm that combines features form both Sqrt(3) and Loop Subdivision schemes. The algorithm aims at preserving sharp features and trim regions, during the surfaces subdivision, using a set of rules. The implementation is nontrivial due to the computational, topological, and smoothness constraints, which should be satisfied by the underlying surface. The fundamental innovation, in this research work, is the ability to preserve sharp features anywhere on a surface. In addition, the resulting representation remains within the multiresolution subdivision framework. Preserving the original representation has a core advantage that all the applicable operations to the multiresolution subdivision surfaces can subsequently be applied to the edited model. Experimental results, including surfaces coarsening and smoothing, were performed using the proposed algorithm for validation purposes, and the results revealed that the proposed algorithm outperforms the other recent state of the art algorithms.
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