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.

Index Terms—Essential Matrix, fundamental matrix, stereo vision, epipolar geometry, dot product.

T. Basta is with the computing college of Al Ghurair University,PO Box 37374, Dubai, United Arab Emirates (e-mail：tayebasta@gmail.com，(0)504446420)

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.