D. La Torre

Measure-Valued Images, Associated Fractal Transforms, and the Affine Self-Similarity of Images

We construct a complete metric space

Generalized fractal transforms and self-similar objects in cone metric spaces

(Y,d_Y)

Function-valued mappings, total variation and compressed sensing for diffusion MRI

of measure-valued images,

Solving inverse problems for biological models using the collage method for differential equations

\mu : X \to {\cal M}(\mathbb{R}_g)

Inverse Problems via the “Generalized Collage Theorem” for Vector-Valued Lax-Milgram-Based Variational Problems

, where

A Chaos game algorithm for generalized iterated function systems

X

A simple class of fractal transforms for hyperspectral images

is the base or pixel space and

Hyperspectral Images as Function-Valued Mappings, Their Self-similarity and a Class of Fractal Transforms

{\cal M}(\mathbb{R}_g)

Set-valued Nonlinear Fredholm Integral Equations: Direct and Inverse Problem

is the set of probability measures supported on the greyscale range

Mean value theorem for continuous vector functions by smooth approximations

\mathbb{R}_g