点模型的多分辨率形状编辑(英文)

Multisolution Shape Editing of Point-Sampled Geometry

提出了一种基于几何细节映射的点模型的形状编辑方法.几何细节是曲面的一个重要属性,定义几何细节为原始曲面及其基曲面之间的向量差,该基曲面由多层次B样条所构成.通过基曲面上的局部仿射坐标,则可以得到与之对应的多分辨率几何细节表示,曲面的低频信息和高频信息易被用户所指定的频段分离.通过调节基曲面的形状,再将这些几何细节映射上去,可以对模型进行保细节的变形;如果将几何细节映射到其他物体上,将可以得到几何细节迁移的结果.为点模型开发了多种特征保持的编辑算子,实验结果表明,所提出的方法是一种有效的点模型造型算法.

This paper proposes a technique for shape editing of point-based geometry based on geometric detail mapping. The geometric detail is an important attribute of a surface. It is defined in this paper as the difference between the original point-sampled surface and its base surface which is constructed as a multilevel B-splines approximation. The geometric detail is represented as the set of the local affine coordinates of the base surface and extracted effectively and efficiently in user specified frequency band of geometric signal. It can be mapped onto any arbitrary point set surface including its own deformed base surface. Versatile editing tools are developed for the point sampled geometry that naturally preserves the geometric detail. Experimental results demonstrate the high potentials of the approach for point-sampled geometry modeling.