Journal
IEEE TRANSACTIONS ON IMAGE PROCESSING
Volume 24, Issue 12, Pages 5369-5378Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIP.2015.2479469
Keywords
Depth from focus; depth estimation; nonlinear variational methods; alternating directions method of multipliers
Funding
- European Research Council Starting Grant ConvexVision
- Microsoft Research Connections
- Engineering and Physical Sciences Research Council [EP/M00483X/1]
- King Abdullah University of Science and Technology [KUK-I1-007-43]
- Engineering and Physical Sciences Research Council [EP/M00483X/1] Funding Source: researchfish
- EPSRC [EP/M00483X/1] Funding Source: UKRI
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This paper deals with the problem of reconstructing a depth map from a sequence of differently focused images, also known as depth from focus (DFF) or shape from focus. We propose to state the DFF 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. In addition, we propose to solve the nonconvex minimization problem with a linearized alternating directions method of multipliers, 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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