Papers › Variational Depth from Focus Reconstruction

Variational Depth from Focus Reconstruction

1 Aug 2014arXiv:1408.0173archive 2025-07-28

Michael Moeller, Martin Benning, Carola Schönlieb, Daniel Cremers

This paper deals with the problem of reconstructing a depth map from a sequence of differently focused images, also known as depth from focus or shape from focus. We propose to state the depth from focus problem as a variational problem including a smooth but nonconvex data fidelity term, and a convex nonsmooth regularization, which makes the method robust to noise and leads to more realistic depth maps. Additionally, we propose to solve the nonconvex minimization problem with a linearized alternating directions method of multipliers (ADMM), allowing to minimize the energy very efficiently. A numerical comparison to classical methods on simulated as well as on real data is presented.

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