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Unified Computational Theory for Motion Transparency and Motion Boundaries Based on Eigenenergy Analysis

Masahiko Shizawa, Kenji Mase
CVPR 1991 pp. 289-295
doi:10.1109/CVPR.1991.139704 /cvpr/1991/shizawa1991cvpr-unified/

Abstract

A unified theoretical framework for motion transparency and motion boundaries by devising fundamental constraint equations of multiple optical flow is proposed. This framework can handle flow discontinuities at motion boundaries as well as flow multiplicities due to transparency of objects in a unified manner. The constraint equations are formulated by a composition of homogeneously parametrized differential operators on the space-time image. Fitting algorithms for the constraints which result in eigensystem analyses are described. To determine the number of flows, the authors use the margin energy, a measure of goodness of fit which is the difference between the first and the second lower eigenenergy of the eigensystem. They also hypothesize a criterion for multiplicity. The measure and the criterion are derived from the analogy of quantum mechanics. It is demonstrated that the margin energy can determine the transparency and discontinuities of the flow field as regions of more than one flow.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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Cite

Text

Shizawa and Mase. "Unified Computational Theory for Motion Transparency and Motion Boundaries Based on Eigenenergy Analysis." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1991. doi:10.1109/CVPR.1991.139704

Markdown

[Shizawa and Mase. "Unified Computational Theory for Motion Transparency and Motion Boundaries Based on Eigenenergy Analysis." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1991.](https://mlanthology.org/cvpr/1991/shizawa1991cvpr-unified/) doi:10.1109/CVPR.1991.139704

BibTeX

@inproceedings{shizawa1991cvpr-unified,
  title     = {{Unified Computational Theory for Motion Transparency and Motion Boundaries Based on Eigenenergy Analysis}},
  author    = {Shizawa, Masahiko and Mase, Kenji},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1991},
  pages     = {289-295},
  doi       = {10.1109/CVPR.1991.139704},
  url       = {https://mlanthology.org/cvpr/1991/shizawa1991cvpr-unified/}
}