Diffusion and Fractional Diffusion Based Image Processing

dc.contributor.authorBlackledge, Jonathan Michaelen_US
dc.contributor.editorWen Tang and John Collomosseen_US
dc.date.accessioned2014-01-31T20:06:49Z
dc.date.available2014-01-31T20:06:49Z
dc.date.issued2009en_US
dc.description.abstractWe 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.seriesinformationTheory and Practice of Computer Graphicsen_US
dc.identifier.isbn978-3-905673-71-5en_US
dc.identifier.urihttps://doi.org/10.2312/LocalChapterEvents/TPCG/TPCG09/233-240en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.4.5 [Reconstruction]: Transform Methodsen_US
dc.titleDiffusion and Fractional Diffusion Based Image Processingen_US
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