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On the Direct Estimation of the Fundamental Matrix
2007 IEEE Conference on Computer Vision and Pattern Recognition, 2007The fundamental matrix is a central construct in the analysis of images captured from a pair of cameras and many feature-based methods have been proposed for its computation. In this paper, we propose a direct method for estimating the fundamental matrix where the motion between the frames is small (e.g. between successive frames of a video).
Yaser Sheikh, Asaad Hakeem, Mubarak Shah
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Tensor Embedding of the Fundamental Matrix
1998We revisit the bilinear matching constraint between two perspective views of a 3D scene. Our objective is to represent the constraint in the same manner and form as the trilinear constraint among three views. The motivation is to establish a common terminology that bridges between the fundamental matrix F (associated with the bilinear constraint) and ...
Shai Avidan, Amnon Shashua
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A stability analysis of the Fundamental matrix
1994The Fundamental matrix is a key concept when working with uncalibrated images and multiple viewpoints. It contains all the available geometric information and enables to recover the epipolar geometry from uncalibrated perspective views. This paper is about a stability analysis for the Fundamental matrix.
Quang-Tuan Luong, Olivier D. Faugeras
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On Accurate and Robust Estimation of Fundamental Matrix
Procedings of the British Machine Vision Conference 1996, 1996This paper is concerned with accurate and robust estimation of the fundamental matrix. We show that, given certain conditions, a basic linear algorithm can yield excellent accuracy, in some cases two orders of magnitude better than sophisticated algorithms.
Bober, M, Georgis, N, Kittler, J
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Deep Fundamental Matrix Estimation
2018We present an approach to robust estimation of fundamental matrices from noisy data contaminated by outliers. The problem is cast as a series of weighted homogeneous least-squares problems, where robust weights are estimated using deep networks. The presented formulation acts directly on putative correspondences and thus fits into standard 3D vision ...
René Ranftl, Vladlen Koltun
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International Journal of Mechanical Sciences, 1960
Abstract In the past ten years several authors1–11 have developed the method of transfer matrices for the vibration and stability analysis of complicated elastic systems. This paper is an attempt to generalize and unify the method, and it is hoped that as a result many further problems ‡ will fall within the scope of this method.
F. Leckie, E. Pestel
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Abstract In the past ten years several authors1–11 have developed the method of transfer matrices for the vibration and stability analysis of complicated elastic systems. This paper is an attempt to generalize and unify the method, and it is hoped that as a result many further problems ‡ will fall within the scope of this method.
F. Leckie, E. Pestel
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Matrix Representation of Thermodynamic Fundamentals
American Journal of Physics, 1957The use of matrices for representing fundamental thermodynamic relations is demonstrated. Maxwell's relations and other thermodynamic derivatives are readily obtained by differentiation of the matrices defined.
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Neural Computation of the Fundamental Matrix
2004The fundamental matrix combines the mutual relation of the corresponding points in the two images of an observed scene. This relation, known also as an epipolar geometry, allows for a further depth reconstruction, image rectification or camera calibration.
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Fundamental Matrix Computation
2016Two images of the same scene are related by what is called the epipolar equation. It is specified by a matrix called the fundamental matrix. By computing the fundamental matrix between two images, one can analyze the 3D structure of the scene, which we discuss in Chaps. 4 and 5.
Kenichi Kanatani +2 more
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2004
Trajectories of a dynamical system, starting from a particular initial state, might evolve towards a steady state of the system. A steady state can be an equilibrium of the system but can also be a (quasi-)periodic motion. The stability of equilibria is (for the hyperbolic case) determined by the eigenvalues of the local linearization of the system ...
Remco I. Leine, Henk Nijmeijer
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Trajectories of a dynamical system, starting from a particular initial state, might evolve towards a steady state of the system. A steady state can be an equilibrium of the system but can also be a (quasi-)periodic motion. The stability of equilibria is (for the hyperbolic case) determined by the eigenvalues of the local linearization of the system ...
Remco I. Leine, Henk Nijmeijer
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