Shape recovery using stochastic heat flow

Vinay P. Namboodiri, Subhasis Chaudhuri

Research output: Contribution to conferencePaperpeer-review

1 Citation (Scopus)

Abstract

We consider the problem of depth estimation from multiple images based on the defocus cue. For a Gaussian defocus blur, the observations can be shown to be the solution of a deterministic but inhomogeneous diffusion process. However, the diffusion process does not sufficiently address the case in which the Gaussian kernel is deformed. This deformation happens due to several factors like self-occlusion, possible aberrations and imperfections in the aperture. These issues can be solved by incorporating a stochastic perturbation into the heat diffusion process. The resultant flow is that of an inhomogeneous heat diffusion perturbed by a stochastic curvature driven motion. The depth in the scene is estimated from the coefficient of the stochastic heat equation without actually knowing the departure from the Gaussian assumption. Further, the proposed method also takes into account the non-convex nature of the diffusion process. The method provides a strong theoretical framework for handling the depth from defocus problem.

Original languageEnglish
DOIs
Publication statusPublished - 1 Jan 2007
Event2007 18th British Machine Vision Conference, BMVC 2007 - Warwick, UK United Kingdom
Duration: 10 Sep 200713 Sep 2007

Conference

Conference2007 18th British Machine Vision Conference, BMVC 2007
CountryUK United Kingdom
CityWarwick
Period10/09/0713/09/07

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition

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