Likely Local Shape

Abstract

A standard probabilistic formulation of a local shape estimator due to Witkin (1980) has been demonstrated to work to some extent on a range of data, but it also has been shown to overestimate slant. The author identifies and analyzes three sources of this error: the choice of prior probability distribution on shape; a systematic bias in the observation of image events; and a kind of nonergodicity in the stochastic process associated with surface events. As a result of this analysis, the author formulates a corrected probabilistic local shape estimator, proves a correctness theorem for it, and demonstrates its superiority to the Wilkin estimator in a set of experiments.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Cite

Text

Kube. "Likely Local Shape." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1989. doi:10.1109/CVPR.1989.37897

Markdown

[Kube. "Likely Local Shape." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1989.](https://mlanthology.org/cvpr/1989/kube1989cvpr-likely/) doi:10.1109/CVPR.1989.37897

BibTeX

@inproceedings{kube1989cvpr-likely,
  title     = {{Likely Local Shape}},
  author    = {Kube, Paul},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1989},
  pages     = {529-534},
  doi       = {10.1109/CVPR.1989.37897},
  url       = {https://mlanthology.org/cvpr/1989/kube1989cvpr-likely/}
}