Fast Computation of the Fundamental Matrix for an Active Stereo Vision System

Abstract

This paper investigates the problem of computing the fundamental matrix for a class of active stereo vision system, namely with common elevation platform. The fundamental matrix is derived for such a system, and a number of methods are proposed to simplify its computation. Experimental results validate the feasibility of the different methods. These methods are then used in a real application to validate the correctness of the fundamental matrix form for an active stereo system. We demonstrate that typical variations in camera intrinsic parameters do not much affect the epipolar geometry in the image. This motivates us to calibrate the camera intrinsic parameters approximately and then to use the calibration results to compute the epipolar geometry directly in real time.

Cite

Text

Li et al. "Fast Computation of the Fundamental Matrix for an Active Stereo Vision System." European Conference on Computer Vision, 1996. doi:10.1007/BFB0015532

Markdown

[Li et al. "Fast Computation of the Fundamental Matrix for an Active Stereo Vision System." European Conference on Computer Vision, 1996.](https://mlanthology.org/eccv/1996/li1996eccv-fast/) doi:10.1007/BFB0015532

BibTeX

@inproceedings{li1996eccv-fast,
  title     = {{Fast Computation of the Fundamental Matrix for an Active Stereo Vision System}},
  author    = {Li, Fuxing and Brady, Michael and Wiles, Charles},
  booktitle = {European Conference on Computer Vision},
  year      = {1996},
  pages     = {157-166},
  doi       = {10.1007/BFB0015532},
  url       = {https://mlanthology.org/eccv/1996/li1996eccv-fast/}
}