Detection of Intensity and Motion Edges within Optical Flow via Multidimensional Control

DOI10.1137/080725064zbMath1181.49029OpenAlexW2076629172MaRDI QIDQ3649077

Helmut Maurer, Christoph Brune, Marcus M. Wagner

Publication date: 2 December 2009

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: http://unipub.uni-graz.at/doi/10.1137/080725064

zbMATH Keywords

optimal control problemdirect methodsedge detectionoptical flowpartial differential equation constrained optimization

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Numerical methods based on nonlinear programming (49M37) Ill-posed problems for PDEs (35R25) Discrete approximations in optimal control (49M25) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (11)

A BV functional and its relaxation for joint motion estimation and image sequence recovery ⋮ Multimodal image registration by elastic matching of edge sketches via optimal control ⋮ A Variational Model Dedicated to Joint Segmentation, Registration, and Atlas Generation for Shape Analysis ⋮ An application of quadratic measure filters to the segmentation of chorio-retinal OCT data ⋮ A Guide to the TV Zoo ⋮ On the lower semicontinuous quasiconvex envelope for unbounded integrands (I) ⋮ Pontryagin's maximum principle for multidimensional control problems in image processing ⋮ Quasiconvex relaxation of multidimensional control problems with integrandsf(t,ξ,v) ⋮ Jensen's inequality for the lower semicontinuous quasiconvex envelope and relaxation of multidimensional control problems ⋮ Group-Valued Regularization for Motion Segmentation of Articulated Shapes ⋮ A discretization method for the numerical solution of Dieudonné-Rashevsky type problems with application to edge detection within noisy image data

Uses Software

• Ipopt

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