Uncalibrated Factorization Using a Variable Symmetric Affine Camera

Abstract

In order to reconstruct 3-D Euclidean shape by the Tomasi-Kanade factorization, one needs to specify an affine camera model such as orthographic, weak perspective, and paraperspective. We present a new method that does not require any such specific models. We show that a minimal requirement for an affine camera to mimic perspective projection leads to a unique camera model, called symmetric affine camera , which has two free functions. We determine their values from input images by linear computation and demonstrate by experiments that an appropriate camera model is automatically selected.

Cite

Text

Kanatani et al. "Uncalibrated Factorization Using a Variable Symmetric Affine Camera." European Conference on Computer Vision, 2006. doi:10.1007/11744085_12

Markdown

[Kanatani et al. "Uncalibrated Factorization Using a Variable Symmetric Affine Camera." European Conference on Computer Vision, 2006.](https://mlanthology.org/eccv/2006/kanatani2006eccv-uncalibrated/) doi:10.1007/11744085_12

BibTeX

@inproceedings{kanatani2006eccv-uncalibrated,
  title     = {{Uncalibrated Factorization Using a Variable Symmetric Affine Camera}},
  author    = {Kanatani, Ken-ichi and Sugaya, Yasuyuki and Ackermann, Hanno},
  booktitle = {European Conference on Computer Vision},
  year      = {2006},
  pages     = {147-158},
  doi       = {10.1007/11744085_12},
  url       = {https://mlanthology.org/eccv/2006/kanatani2006eccv-uncalibrated/}
}