A study of affine shape is needed in certain problems that arise in bioinformatics and pattern recognition. In particular affine shape analysis is useful in the analysis of 2D electrophoresis images and in the reconstruction of a larger area from a number aerial images. Two aerial images taken from different distances of a ground scene are given in Figure 1.; the problem asks to reconstruct a l...

Principal Component Analysis (PCA) is often used for reducing the dimensionality of input feature space. However, the eigenspace based on PCA is not always the best feature space for pattern recognition. In this paper, we use the feature space based on Independent Component Analysis (ICA) and show that the ICA representation is more effective than the PCA representation for human action recogni...

Recent works have shown the use of diffusion geometry for various pattern recognition applications, including non-rigid shape analysis. In this paper, we analyze two recent methods for shape similarity due to Rustamov and Mahmoudi & Sapiro. We show the relations between the methods and propose a new shape similarity criterion combining the advantages of both methods.