RESAMPLING AND RECONSTRUCTION WITH FRACTAL INTERPOLATION FUNCTIONS

An alternative form of the fractal interpolation function (FIF)-previo usly unmentioned in the signal processing literature-is noted. This fo rm highlights a simple relationship between fractal and linear interpo lation. Using this relationship, many FIF problems can be reduced to a matrix/vector expression. This expression provides a more powerful wa y to employ the FIF for interpolation and permits its adaptation for r econstruction. Additionally, the alternate form of the FIF allows the construction of fractal functions whose piecewise integrals match obse rved data.