Document Type
Article
Rights
Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence
Disciplines
Applied mathematics
Abstract
We consider the background to describing strong scattering in terms of diffusive processes based on the diffusion equation. Intermediate strength scattering is then considered in terms of a fractional diffusion equation which is studied using results from fractional calculus. This approach is justified in terms of the generalization of a random walk model with no statistical bias in the phase to a random walk that has a phase bias and is thus, only ‘partially’ or ‘fractionally’ diffusive. A Green’s function solution to the fractional diffusion equation is studied and a result derived that provides a model for an incoherent image generated by light scattering from a tenuous random medium. Applications include image enhancement of star fields and other cosmological bodies imaged through interstellar dust clouds. An example of this application is given.
DOI
https://doi.org/10.2312/LocalChapterEvents/TPCG/TPCG09/233-240
Recommended Citation
Diffusion and Fractional Diffusion Based Image Processing, Blackledge, Jonathan; EG UK Theory and Practice of Computer Graphics, pages: 233 - 240, Cardiff, 2009. doi:10.2312/LocalChapterEvents/TPCG/TPCG09/233-240
Publication Details
EG UK, The 27th Conference in Theory and Practice of Computer Graphics, pages: 233 - 240, Cardiff, 2009