Affine invariant descriptors using principal components analysis

摘要

In this paper, we propose new methods for recognizing 2D/3D objects undergoing affine transforms. Robustness with respect to level-of-detail is achieved by selection of points belonging to fixed directions on a circle, i.e., the 2D case, or a sphere, i.e., the 3D case (called the Ray casting selection method in the literature). The proposed descriptors are based on principal component analysis (PCA); each shape is represented by its eigenvalues and the corresponding eigenvectors.