A. Bruhn, J. Weickert, T. Kohlberger, and C. Schnörr

A Multigrid Platform for Real-Time Motion Computation with Discontinuity-Preserving Variational Methods

International Journal on Computer Vision, Vol. 70 No. 3, 257-277

As displayed on flow field boundaries color encodes direction and brightness encodes magnitudes.


Flow fields for three sequence with different type of motion

  • Waving (translation with occlusions)
  • Rotating Thumb (rotations)
  • Dancing (complex motion).

Dancing
Waving
Rotating Thumb
Frame 1
(160x120)
Frame No. 1 of the Dancing sequence Frame No. 1 of the Waving sequence Frame No. 1 of the Rotating Thumb sequence
Frame 2
(160x120)
Frame No. 2 of the Dancing sequence Frame No. 2 of the Waving sequence Frame No. 2 of the Rotating Thumb sequence
Normal Flow
Flow-driven isotropic regularisation Flow-driven isotropic regularisation Flow-driven isotropic regularisation
Homogeneous
Regularisation

(Horn and Schunck)
>60 FPS on 3 GHz CPU
Homogeneous regularisation Homogeneous regularisation Homogeneous regularisation
Isotropic
Image-Driven
Regularisation

(Charbonnier)
>21 FPS on 3 GHz CPU
Image-driven anisotropic regularisation Image-driven anisotropic regularisation Image-driven anisotropic regularisation
Anisotropic
Image-Driven
Regularisation

(Nagel and Enkelmann)
>6 FPS on 3 GHz CPU
Image-driven anisotropic regularisation Image-driven anisotropic regularisation Image-driven anisotropic regularisation
Isotropic
Flow-Driven
Regularisation

(Total Variation)
>12 FPS on 3 GHz CPU
Flow-driven isotropic regularisation Flow-driven isotropic regularisation Flow-driven isotropic regularisation
Anisotropic
Flow-Driven
Regularisation

(Total Variation)
>2 FPS on 3 GHz CPU
Flow-driven isotropic regularisation Flow-driven isotropic regularisation Flow-driven isotropic regularisation


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