On the high level canonical representation of piecewise linear functions

In this work, we propose a representation basis for the set of PWL functions f: D/spl rarr/R/sup 1/ defined over a simplicial partition when D is a rectangular compact set in R/sup n/. The functions of the basis exhibit several types of nested absolute value functions. In addition, an efficient numerical method is given for the resolution of the parameters of the high level canonical representation.