Can Variational Models for Correspondence Problems Benefit from Upwind Discretisations?

Breuβ, Michael; Zimmer, Henning; Weickert, Joachim

doi:10.1007/s10851-010-0237-z

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The Optical Flow Problem1

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Cited by 2 publications

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“…During this period of time, many efforts have been spent to improve the models cf. [4,8,10,42,44,60,65,68,[74][75][76] for an account of that field.…”

Section: The Optical Flow Problemmentioning

confidence: 99%

Bregman Iteration for Correspondence Problems: A Study of Optical Flow

Hoeltgen¹,

Breuß²

2015

Preprint

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Bregman iterations are known to yield excellent results for denoising, deblurring and compressed sensing tasks, but so far this technique has rarely been used for other image processing problems. In this paper we give a thorough description of the Bregman iteration, unifying thereby results of different authors within a common framework. Then we show how to adapt the split Bregman iteration, originally developed by Goldstein and Osher for image restoration purposes, to optical flow which is a fundamental correspondence problem in computer vision. We consider some classic and modern optical flow models and present detailed algorithms that exhibit the benefits of the Bregman iteration. By making use of the results of the Bregman framework, we address the issues of convergence and error estimation for the algorithms. Numerical examples complement the theoretical part.

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“…During this period of time, many efforts have been spent to improve the models cf. [4,8,10,42,44,60,65,68,[74][75][76] for an account of that field.…”

Section: The Optical Flow Problemmentioning

confidence: 99%