Specification of a wavelet for multiscale analysis of discrete boundary

Deals with the specification of a wavelet for the representation of a discrete contour coded by Freeman chain code. Multiresolution analysis is a functional framework which allows one to build wavelets and to choose which wavelet to use for a given application. The discrete version of data in image processing domain has to be conserved and it needs specific algorithms and tools. The aim is to consider a discrete contour coded by Freeman sequence and to approximate it at several levels of resolution by use of an adapted wavelet. The authors compute the wavelet´s coefficients which can be used to reconstruct the original discrete contour. Examples of implementation results with evaluation of entropy and fidelity of reconstruction are presented