通过细化点法线对扩展细分格式的编辑能力
Extending editing capabilities of subdivision schemes by refinement of point-normal pairs
摘要：
本文将文[11]中的二维圆平均推广到三维点法线对的二元平均，并研究其性质。我们用这个平均值修正了经典的曲面生成线性细分格式，得到了细化点法向对的曲面生成格式。修改后的方案提供了通过编辑初始法线来生成更多几何体的可能性。对于输入数据仅由网格组成的情况，我们提出了一种从初始网格计算“朴素”初始法线的方法。几个修改后的计划的性能进行比较，他们的线性变体，当操作在相同的初始网格，并给出修改后的计划的编辑能力的例子。此外，我们提供了一个链接到我们的存储库，在那里我们存储初始和细化网格文件，以及实现代码。在我们的Youtube频道中提供了几个视频，演示了初始法线的编辑功能。
英文摘要：
In this paper we extend the 2D circle average of [11] to a 3D binary average of point-normal pairs, and study its properties. We modify classical surface-generating linear subdivision schemes with this average obtaining surface-generating schemes refining point-normal pairs. The modified schemes give the possibility to generate more geometries by editing the initial normals. For the case of input data consisting of a mesh only, we present a method for computing "naive" initial normals from the initial mesh. The performance of several modified schemes is compared to their linear variants, when operating on the same initial mesh, and examples of the editing capabilities of the modified schemes are given. In addition we provide a link to our repository, where we store the initial and refined mesh files, and the implementation code. Several videos, demonstrating the editing capabilities of the initial normals are provided in our Youtube channel.
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