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Then, the displacement, slopes and stress resultants are found analytically using the fundamental matrix.
Classically this has been carried out using the fundamental matrix, but the fundamental matrix is ill conditioned with planar scenes, which are quite usual in man made environments.
In our experiments we prove that by using the fundamental matrix, robustness of the estimation in the presence of noise is significantly increased with respect to already existing algorithms in specialized literature.
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In practice, the fundamental matrix can, however, be approximated by limiting the walks to a maximal number of L steps and using forward backward recurrences (Callut, 2007).
In this case, extracting matched feature points with a high degree of accuracy from the scene is simple as these points are used to compute the fundamental matrix.
As we obtain the controlled transition matrix at each iteration by a one-row perturbation to the previously computed controlled transition matrix, we can keep updating the exact steady-state distribution and the fundamental matrix using (11) and (12), respectively.
Hence, our model is simpler than the fundamental matrix used by SfM approaches, allowing it to scale well with increasing scene complexity.
In this work we compare the use of the homography and the fundamental matrix and we propose the correction of motion directly from the parameters of the 2D homography, which only needs one calibration parameter.
In fact, some easily used criteria for the stability results involve the fundamental matrix.
From these data, we created a transition matrix, Q, and calculated the fundamental
Moreover, by using the presently developed mixed formalism, the explicit expressions for the fundamental matrix and eigenvectors are obtained first time for the most general composite laminates.
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