ML Anthology

Boundary Element Methods for Solving Poisson Equations in Computer Vision Problems

Gary G. Gu, Michael A. Gennert
CVPR 1991 pp. 546-551
doi:10.1109/CVPR.1991.139751 /cvpr/1991/gu1991cvpr-boundary/

Abstract

The boundary element method (BEM) for solving Poisson's equations is described. Issues in BEM, such as Green's functions, boundary conditions, evaluation of improper integrals, and continuity up to first derivative of solution functions, are discussed. BEM is compared with FEM, the finite element method, in terms of storage and time complexity. The authors discuss application to vision: height from gradient; shape from shading; surface interpolation; brightness based stereo matching; and the optical flow problem. Brief mention is made of some early experimental results on synthetic images.< <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

Gu and Gennert. "Boundary Element Methods for Solving Poisson Equations in Computer Vision Problems." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1991. doi:10.1109/CVPR.1991.139751

Markdown

[Gu and Gennert. "Boundary Element Methods for Solving Poisson Equations in Computer Vision Problems." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1991.](https://mlanthology.org/cvpr/1991/gu1991cvpr-boundary/) doi:10.1109/CVPR.1991.139751

BibTeX

@inproceedings{gu1991cvpr-boundary,
  title     = {{Boundary Element Methods for Solving Poisson Equations in Computer Vision Problems}},
  author    = {Gu, Gary G. and Gennert, Michael A.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1991},
  pages     = {546-551},
  doi       = {10.1109/CVPR.1991.139751},
  url       = {https://mlanthology.org/cvpr/1991/gu1991cvpr-boundary/}
}