ML Anthology

Shape from Shading: Provably Convergent Algorithms and Uniqueness Results

Paul Dupuis, John Oliensis
ECCV 1994 pp. 259-268
doi:10.1007/BFB0028359 /eccv/1994/dupuis1994eccv-shape/

Abstract

An explicit representation for the surface corresponding to a shaded image is presented and proven to be correct (under standard conditions). Uniqueness of the surface is an immediate consequence. Using this representation, various iterative algorithms for shape reconstruction are derived. It has been proven that all these algorithms converge monotonically to the correct surface reconstruction, and they have been shown experimentally to be fast and robust. Some of the results of this paper extend previous ones to the case of illumination from a general direction.

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Text

Dupuis and Oliensis. "Shape from Shading: Provably Convergent Algorithms and Uniqueness Results." European Conference on Computer Vision, 1994. doi:10.1007/BFB0028359

Markdown

[Dupuis and Oliensis. "Shape from Shading: Provably Convergent Algorithms and Uniqueness Results." European Conference on Computer Vision, 1994.](https://mlanthology.org/eccv/1994/dupuis1994eccv-shape/) doi:10.1007/BFB0028359

BibTeX

@inproceedings{dupuis1994eccv-shape,
  title     = {{Shape from Shading: Provably Convergent Algorithms and Uniqueness Results}},
  author    = {Dupuis, Paul and Oliensis, John},
  booktitle = {European Conference on Computer Vision},
  year      = {1994},
  pages     = {259-268},
  doi       = {10.1007/BFB0028359},
  url       = {https://mlanthology.org/eccv/1994/dupuis1994eccv-shape/}
}