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On Poisson Solvers and Semi-Direct Methods for Computing Area Based Optical Flow

Atul K. Chhabra, Timothy A. Grogan
CVPR 1992 pp. 857-860
doi:10.1109/CVPR.1992.223239 /cvpr/1992/chhabra1992cvpr-poisson/

Abstract

T. Simchony et al. (1990) proposed a semidirect method for computing area-based optical flow, based on the iterative application of a direct Poisson solver. This method is restricted to Dirichlet boundary conditions, i.e. it is applicable only when velocity vectors at the boundary of the domain are known a priori. It is shown, both experimentally and through analysis, that the semidirect method converges only for a very high degree of smoothness. At such levels of smoothness, the solution is obtained merely by filling in the known boundary values; the data from the image is almost totally ignored. It is concluded that the semidirect method is not suited for the computation of area-based optical 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

Chhabra and Grogan. "On Poisson Solvers and Semi-Direct Methods for Computing Area Based Optical Flow." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992. doi:10.1109/CVPR.1992.223239

Markdown

[Chhabra and Grogan. "On Poisson Solvers and Semi-Direct Methods for Computing Area Based Optical Flow." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992.](https://mlanthology.org/cvpr/1992/chhabra1992cvpr-poisson/) doi:10.1109/CVPR.1992.223239

BibTeX

@inproceedings{chhabra1992cvpr-poisson,
  title     = {{On Poisson Solvers and Semi-Direct Methods for Computing Area Based Optical Flow}},
  author    = {Chhabra, Atul K. and Grogan, Timothy A.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1992},
  pages     = {857-860},
  doi       = {10.1109/CVPR.1992.223239},
  url       = {https://mlanthology.org/cvpr/1992/chhabra1992cvpr-poisson/}
}