自动化学报2012，Vol.38Issue(2)：248-258,11.DOI:10.3724/SP.J.1004.2012.00248
基于Grassmann流形的仿射不变形状识别
Affine-invariant Shape Recognition Using Grassmann Manifold
摘要
Abstract
Traditional Kendall shape space theory is only applied to similar transform. However, geometric transforms of the object in the imaging process should be represented by affine transform at most situations. We analyze the nonlinear geometry structure of the affine invariant shape space and propose an affine-invariant shape recognition algorithm based on Grassmann manifold geometry. Firstly, we compute the mean shape and covariance for every shape class in the train sets. Then, we construct their norm probability models on the tangent space at each mean shape. Finally, we compute the maximum likelihood class according to the measured object and prior learned shape models. We use the proposed algorithm to recognize shapes in standard shape dataset and real images. Experiment results on MPEG-7 shape dataset show that our recognition algorithm outperforms the algorithm based on Procrustean metric in traditional Kendall shape space theory. Experiment results on real images also show that the proposed algorithm exhibits higher capacity to affine transform than the Procrustean metric based algorithm and can recognize object classes with higher posterior probability.关键词
形状识别/Grassmann流形/仿射不变/形状空间/形状均值Key words
Shape recognition/ Grassmann manifold/ affine invariant/ shape space/ mean shapes引用本文复制引用
刘云鹏,李广伟,史泽林..基于Grassmann流形的仿射不变形状识别[J].自动化学报,2012,38(2):248-258,11.基金项目
国家自然科学基金(60603097),中国科学院国防创新基金(CXJJ-65)资助 （60603097）
