Smooth feature lines on surface meshes
Smooth feature lines on surface meshes
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DOI：
10.2312/sgp/sgp05/085-090
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发表时间：
2005-07
期刊：
影响因子：
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通讯作者：
K. Hildebrandt;K. Polthier;M. Wardetzky
中科院分区：
文献类型：
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作者：
K. Hildebrandt;K. Polthier;M. Wardetzky
特征线是显著的表面特征。它们的定义包括三阶和四阶曲面导数。这通常会产生令人不快的粗糙和弯曲的特征线，因为三阶导数对不需要的表面噪声高度敏感。本工作提出了两个新概念，用于更稳定的算法产生视觉上更令人愉悦的特征线：首先，提出了一种基于离散微分几何的新计算方案，避免了高阶近似曲面的昂贵计算。其次，通过对高阶曲面导数的滤波方法增强了该方案，提高了特征线提取的稳定性和特征线外观的光滑性。
Feature lines are salient surface characteristics. Their definition involves third and fourth order surface derivatives. This often yields to unpleasantly rough and squiggly feature lines since third order derivatives are highly sensitive against unwanted surface noise. The present work proposes two novel concepts for a more stable algorithm producing visually more pleasing feature lines: First, a new computation scheme based on discrete differential geometry is presented, avoiding costly computations of higher order approximating surfaces. Secondly, this scheme is augmented by a filtering method for higher order surface derivatives to improve both the stability of the extraction of feature lines and the smoothness of their appearance.