Recursive Algorithm for Digital Diffusion Networks and Applications to Image Processing
George Yin, Patrick A. Kelly, M. Dowell · Contributions to statistics · 2001
This work aims to develop a class of recursive algorithms for a digital diffusion network, which is an approximation of an analog diffusion machine. Our main effort is to prove the convergence of a continuous-time interpolation of the discrete-time algorithm to that of the analog diffusion network via weak convergence methods. The parallel processing feature of the network makes it attractive for solving large-scale optimization problems, and applicable not only to image estimation problems but also to optimal design, optimal control, and related fields. As an application, we consider image estimation problems and present simulation results.