ML Anthology

A Decision Theoretic Approach for 3-D Vision

Fernand S. Cohen, David B. Cooper
CVPR 1988 pp. 964-972
doi:10.1109/CVPR.1988.196349 /cvpr/1988/cohen1988cvpr-decision/

Abstract

A unifying decision-theoretic model-based approach is presented for solving a broad range of vision problems. These include 3-D scene (outdoor and indoor) segmentation of a 2-D image, 3-D surface recognition and shape and position estimation from one or more images, and tracking of a moving camera from a sequence of images of fixed scenes. The image associated with a 3-D surface patch is locally approximated by either a homogeneous Markov random field (MRF) texture model, which is specified by a few parameters having unknown values, by parameterized contour curves having a few unknown parameters, or by other simply parameterized models. The least structured model considered consists of the expectation at each pixel of a single image treated as a completely arbitrary a priori unknown parameter, thus modeling every possible image but requiring a huge number of parameters. 3-D surfaces are modeled as functions described by a priori unknown parameters, ranging from a few to many. To provide a direct link between the image data and the 3-D surface that generates it, the 3-D surface parameters, the camera geometry, the scene lighting, and the image model parameters are related. Because of this linking, 3-D shape recognition, location and orientation estimation, and scene segmentation are possible and can be easily formulated as optimal detection and estimation problems.< <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

Cohen and Cooper. "A Decision Theoretic Approach for 3-D Vision." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1988. doi:10.1109/CVPR.1988.196349

Markdown

[Cohen and Cooper. "A Decision Theoretic Approach for 3-D Vision." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1988.](https://mlanthology.org/cvpr/1988/cohen1988cvpr-decision/) doi:10.1109/CVPR.1988.196349

BibTeX

@inproceedings{cohen1988cvpr-decision,
  title     = {{A Decision Theoretic Approach for 3-D Vision}},
  author    = {Cohen, Fernand S. and Cooper, David B.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1988},
  pages     = {964-972},
  doi       = {10.1109/CVPR.1988.196349},
  url       = {https://mlanthology.org/cvpr/1988/cohen1988cvpr-decision/}
}