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On a fundamental property of the cross- Gramian matrix
IEEE Transactions on Circuits and Systems, 1984Summary: The cross-Gramian matrix \(W_{c0}(T)\) for linear single-input single- output (SISO) dynamical systems has been related to the controllability and observability Gramians via \(W^ 2_{c0}(T)=W_ c(T)W_ 0(T)\) for \(T=\infty\). The result is now proved for any arbitrary time interval T, and is extended to symmetric multivariable systems which have
Fernando, K. V., Nicholson, H.
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Highest Accuracy Fundamental Matrix Computation
2007We compare algorithms for fundamental matrix computation, which we classify into "a posteriori correction", "internal access", and "external access". Doing experimental comparison, we show that the 7-parameter Levenberg-Marquardt (LM) search and the extended FNS (EFNS) exhibit the best performance and that additional bundle adjustment does not increase
Yasuyuki Sugaya, Ken-ichi Kanatani
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Discretization effects in the fundamental matrix computation
2012 19th IEEE International Conference on Image Processing, 2012A polyhedron represents the solution set of an approximate system modeling the epipolar constraints. We introduce a new robust approach for the computation of the fundamental matrix taking into account the intrinsic errors involved in the discretization process.
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Case deletion for fundamental matrix computation
Proceedings of the 29th International Conference on Image and Vision Computing New Zealand, 2014This paper reevaluates the case deletion algorithm for fundamental matrix computation and compares it against two RANSAC variants. The case deletion algorithm has several advantages for use in low-power devices in real-time applications including guaranteed time performance and excellent accuracy.
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Randomized Acceleration of Fundamental Matrix Computations
2002We accentuate the power of several known effective methods by combining them together and adding some novel techniques. As a result, we substantially improve the known record randomized bit-operation complexity estimates for various fundamental computations with integer matrices.
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Fundamental fractional exponential matrix: New computational formulae and electrical applications
AEU - International Journal of Electronics and Communications, 2021Zeyad Al-Zhour
exaly
Kruppa's equations derived from the fundamental matrix
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1997R I Hartley
exaly
Estimating the fundamental matrix based on least absolute deviation
Neurocomputing, 2011Yiguang Liu
exaly

