1981
DOI: 10.1016/0004-3702(81)90024-2
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Determining optical flow

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Cited by 9,271 publications
(4,772 citation statements)
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References 12 publications
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“…The second approach focuses on the penalization of rapid changes in the velocity field and has a similar effect as the regularization functional in the Horn and Schunck algorithm [7]. For each velocity vector u = (u x (t, i, j), u y (t, i, j)), we add the linear equations of the form β•(grad u x ) = 0 and β•(grad u y ) = 0 where we use Eq.…”
Section: Flow Image Velocimetry Methods Based On Advection-diffusion Ementioning
confidence: 99%
See 1 more Smart Citation
“…The second approach focuses on the penalization of rapid changes in the velocity field and has a similar effect as the regularization functional in the Horn and Schunck algorithm [7]. For each velocity vector u = (u x (t, i, j), u y (t, i, j)), we add the linear equations of the form β•(grad u x ) = 0 and β•(grad u y ) = 0 where we use Eq.…”
Section: Flow Image Velocimetry Methods Based On Advection-diffusion Ementioning
confidence: 99%
“…Horn and Schunck [7] developed an early optical flow calculation method based on image brightness analysis and an assumption of smooth velocity variations using a quadratic penalization scheme. Through the years, optical flow computation methods have been improved significantly in both accuracy and robustness.…”
Section: Introductionmentioning
confidence: 99%
“…To determine the optical flow, a variational formulation with a smoothness constraint is typically used [7,13]. Given g and f, we define a functional:…”
Section: B Variational Solutionmentioning
confidence: 99%
“…In the special case where g∇·u = 0 and f = 0, Eq. (1) is reduced to the Horn-Schunck brightness constraint equation ∂g/∂t + u·∇g = 0 [13]. In general, the optical flow is not divergence-free, i.e., ∇·u ≠ 0.…”
Section: Introductionmentioning
confidence: 99%
“…Optical flow estimation, as a hot topic, has been extensively studied [5]. Most of the existing approaches are based on variational formulations and the related energy minimization.…”
Section: Related Workmentioning
confidence: 99%