<title>Multiscale planar-curve descriptor using biorthogonal wavelet transform</title>

Abstract

By using the biorthogonal wavelet transform, we develop a hierarchical planar curve descriptor which decomposes a curve into components of different scales so that the coarsest scale carries the global approximation information while other finer scale components contain the local detailed information. It is shown that the wavelet descriptor can be computed effectively and has many nice properties as a representation tool, e.g. invariance, uniqueness, and stability. We discuss several applications of the wavelet descriptor, including character recognition ad shape deformation. Experimental results are given to illustrate the performance of the proposed wavelet descriptor.