基于球谐分析和三维矩的超二次模型匹配计算

超二次模型能够利用简洁的参数有效地描述大量复杂的、真实的三维形状,因此,在计算机视觉和计算机图形中都得到了广泛的应用。超二次模型形状匹配计算是应用超二次模型进行三维物体识别的一个关键问题。本文对此进行了详细的研究,提出了两种新的方法,即基于球谐分析和三维矩的匹配计算方法。特别地,在基于球谐分析的方法中,提出了一个新的采样算法,用以构造描述超二次模型的离散球函数。实验表明,本文提出的方法能够有效地进行超二次模型三维形状的匹配计算,为开发基于超二次模型的三维物体识别系统奠定了良好的基础。

Superquadric Matching Computation with Spherical Harmonics and 3D Moments

Superquadrics can describe a wide variety of complex and realistic 3D shapes effectively with compact parameters, which have been widely used in computer vision and computer graphics.The matching computation for 3D shape of superquadric models is one key problem in 3D object recognition with superquadrics.In this paper,the shape matching computation of superquadrics is stud- ied and two novel approaches are proposed for solving this problem efficiently,which are based on spherical harmonics and 3D moment invariant respectively.Experiments show that the proposed approaches can implement superquadric 3D shape matching computation effi- ciently,which lays a solid foundation for superquadric-basod 3D object recognition systems.