三维模型特征点曲度球面调和表达

Spherical harmonic representation of feature points camber for 3D model

定义了一种新的三维模型的局部特征描述符——曲度.曲度作为对平均曲率与高斯曲率的校正,在不增加额外计算量的前提下,既克服了平均曲率对平滑模型的不敏感性,又克服了高斯曲率分布较均匀的缺点,更真实的反应了三维模型表面的局部弯曲程度.同时利用曲度定义了三维模型的球函数,并对此球函数进行调和分析,得到一组平移,旋转,缩放不变的特征描述符,并使用此特征描述符进行检索.试验结果表明,此方法在保证查全率的基础上明显提高了检索的查准率,具有较好的检索效果.

We defined a new local feature descriptor camber that is the complex of Gaussian curvature and mean curvature. As a correction to mean curvature and Gaussian curvature, it can overcome the shortcoming of Gaussian curvature and mean curvature without additional computation. The perform- ance of the proposed feature descriptor is comparable to another by precision/recall tests. Generally, the result shows that the new feature descriptor introduces the improvement in the 3D model retrieval system. When matching global feature descriptor, it will have a better result in the retrieval process.