Fourier transforms of measure-valued images, self-similarity and the inverse problem
We work with an entirely new formalism for images, namely, measure-valued image mappings. Some uses of this formalism are outlined. We formulate a method of Fourier transforms of such image mappings. We show that a fractal transform over measure-valued image functions induces a mapping over the space of Fourier transforms of these functions. We outline an inverse problem for fractal transforms and a method for solving it.
fourier transform measure-valued images fractal transforms iterated function systems