A theory of phase-sensitive rotation invariance with spherical harmonic and moment-based representations
A theory of phase-sensitive rotation invariance with spherical harmonic and moment-based representations
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具有球谐函数和基于矩的表示的相敏旋转不变性理论
DOI：
10.1109/cvpr.2010.5540222
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
D. Mao
中科院分区：
文献类型：
--
作者：
R. Kakarala;D. Mao
本文描述了如何获得三维数据的相敏旋转不变量。 “双谱”是针对旋转而制定的，其属性是针对球谐系数和力矩而导出的。与之前发布的仅幅度不变量相比，双谱不变量提供了改进的辨别力。它们能够区分旋转和反射，以及整个形状的旋转和形状元素的按组件旋转。实验表明，它们为表面和体素数据提供了强大的性能。
This paper describes how phase-sensitive rotation invariants for three-dimensional data may be obtained. A “bispectrum” is formulated for rotations, and its properties are derived for spherical harmonic coefficients as well as for moments. The bispectral invariants offer improved discrimination over previously published magnitude-only invariants. They are able to distinguish rotations from reflections, as well as rotations of an entire shape from component-wise rotations of elements of the shape. As experiments show, they provide robust performance for both surface and voxel data.