2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2015
DOI: 10.1109/cvpr.2015.7298649
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Efficient minimal-surface regularization of perspective depth maps in variational stereo

Abstract: We propose a method for dense three-dimensional surface reconstruction that leverages the strengths of shapebased approaches, by imposing regularization that respects the geometry of the surface, and the strength of depthmap-based stereo, by avoiding costly computation of surface topology. The result is a near real-time variational reconstruction algorithm free of the staircasing artifacts that affect depth-map and plane-sweeping approaches. This is made possible by exploiting the gauge ambiguity to design a n… Show more

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Cited by 34 publications
(33 citation statements)
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References 41 publications
(46 reference statements)
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“…Samples {I t } can be used to compute an approximation of ρ, S, for instance in the sense of maximum-likelihood, with suitable regularization [13,15] ρ,Ŝ = arg max ρ,S,gt p({I t }|ρ, S) + λR(S)…”
Section: Point-estimate Approximation: R-hogmentioning
confidence: 99%
“…Samples {I t } can be used to compute an approximation of ρ, S, for instance in the sense of maximum-likelihood, with suitable regularization [13,15] ρ,Ŝ = arg max ρ,S,gt p({I t }|ρ, S) + λR(S)…”
Section: Point-estimate Approximation: R-hogmentioning
confidence: 99%
“…where f is the focal length of the polarisation camera in the x and y directions and (x 0 , y 0 ) is the principal point. The direction of the outward pointing surface normal is defined as the cross product of the partial derivatives with respect to x and y [11]:…”
Section: Perspective Depth Representationmentioning
confidence: 99%
“…We now use the surface normals estimated by the graphical model optimisation to compute an albedo map. In principal, the albedo can be computed from these normals and the unpolarised intensity simply by rearranging (11). However, this purely local estimation is unstable and noise in the normals leads to artefacts in the estimated albedo map.…”
Section: Albedo Estimation With Gradient Consistencymentioning
confidence: 99%
“…However, the per-pixel minimum might not necessarily be accurate or lead to smooth surface due to factors such as specular reflection, self occlusion and intensity ambiguity in texture-less areas. In order to solve this, previous methods [26,17,16] have employed a total variational minimization to remove noise. The goal is to minimize the gradient of depth map D to produce smooth surface and preserve depth discontinuity around edges, which is achieved via minimizing…”
Section: Depth Estimationmentioning
confidence: 99%