doi: 10.7763/IJAPM.2012.V2.123
Examining the Validity of the Fundamental Matrix Equation
Tayeb Basta
- Computing College, Al Ghurair University, PO Box 37374, Dubai, United Arab Emirates
Abstract
In stereo vision, two cameras are used to obtain two views of a scene from two different standpoints. The epipolar geometry describes the relation between the two views. When the intrinsic cameras parameters are known, the essential matrix is the algebraic representation of this geometry; otherwise the fundamental matrix is the representation of such geometry. A number of derivation methods of the essential and fundamental matrices are available in the computer vision literature. This paper questions the validity of the equations of these matrices and demonstrates that such equations are the result of an undefined vector operation.
Keywords
- Essential Matrix
- fundamental matrix
- stereo vision
- epipolar geometry
- dot product
How to Cite
Tayeb Basta, "Examining the Validity of the Fundamental Matrix Equation," International Journal of Applied Physics and Mathematics, vol. 2, no. 5, pp. 319-322, 2012. https://doi.org/ 10.7763/IJAPM.2012.V2.123
Copyright & License
Copyright © 2012 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).