Shape from defocus via diffusion.

Favaro, Paolo; Soatto, Stefano; Burger, Martin; Osher, Stanley J (2008). Shape from defocus via diffusion. IEEE transactions on pattern analysis and machine intelligence, 30(3), pp. 518-531. IEEE Computer Society 10.1109/TPAMI.2007.1175

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Defocus can be modeled as a diffusion process and represented mathematically using the heat equation, where image blur corresponds to the diffusion of heat. This analogy can be extended to non-planar scenes by allowing a space-varying diffusion coefficient. The inverse problem of reconstructing 3-D structure from blurred images corresponds to an "inverse diffusion" that is notoriously ill-posed. We show how to bypass this problem by using the notion of relative blur. Given two images, within each neighborhood, the amount of diffusion necessary to transform the sharper image into the blurrier one depends on the depth of the scene. This can be used to devise a global algorithm to estimate the depth profile of the scene without recovering the deblurred image, using only forward diffusion.

Item Type:

Journal Article (Original Article)


08 Faculty of Science > Institute of Computer Science (INF) > Computer Vision Group (CVG)
08 Faculty of Science > Institute of Computer Science (INF)

UniBE Contributor:

Favaro, Paolo


000 Computer science, knowledge & systems
500 Science > 510 Mathematics




IEEE Computer Society




Manuela Bamert

Date Deposited:

16 Aug 2017 16:06

Last Modified:

16 Aug 2017 16:06

Publisher DOI:


PubMed ID:



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