Diffusion and Fractional Diffusion Based Image Processing
| dc.contributor.author | Blackledge, Jonathan Michael | en_US |
| dc.contributor.editor | Wen Tang and John Collomosse | en_US |
| dc.date.accessioned | 2014-01-31T20:06:49Z | |
| dc.date.available | 2014-01-31T20:06:49Z | |
| dc.date.issued | 2009 | en_US |
| dc.description.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. | en_US |
| dc.description.seriesinformation | Theory and Practice of Computer Graphics | en_US |
| dc.identifier.isbn | 978-3-905673-71-5 | en_US |
| dc.identifier.uri | https://doi.org/10.2312/LocalChapterEvents/TPCG/TPCG09/233-240 | en_US |
| dc.publisher | The Eurographics Association | en_US |
| dc.subject | Categories and Subject Descriptors (according to ACM CCS): I.4.5 [Reconstruction]: Transform Methods | en_US |
| dc.title | Diffusion and Fractional Diffusion Based Image Processing | en_US |
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