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An Optimal Optical Flow

SIAM Journal on Control and Optimization, 2005
The author considers the optical flow equation \[ \frac{\partial }{\partial t}I+V\cdot\nabla I=0,\quad I(0)=I_0 \tag{1} \] in \([0,T]\times \Omega\), \(\Omega\in \mathbb{R}^d\), and given a target image \(I_1\) at \(T\) he finds \(V\) such that \(I(T)=I_1\).
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The computation of optical flow

ACM Computing Surveys, 1995
Two-dimensional image motion is the projection of the three-dimensional motion of objects, relative to a visual sensor, onto its image plane. Sequences of time-orderedimages allow the estimation of projected two-dimensional image motion as either instantaneous image velocities or discrete image displacements.
Steven S. Beauchemin, John L. Barron
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Facts on optic flow

Biological Cybernetics, 1987
We employ an optimal solution to both the "shape from motion problem" and the related problem of the estimation of self-movement on a purely optical basis to deduce practical rules of thumb for the limits of the optic flow information content in the presence of perturbation of the motion parallax field. The results are illustrated and verified by means
Koenderink, J. J., van Doorn, Andrea J.
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Optical flow switching

2006 3rd International Conference on Broadband Communications, Networks and Systems, 2006
In this work, we evaluate an attractive candidate for optical network data transport: optical flow switching (OFS). We describe the operation and implementation of the architecture, characterize its capacity region and capacity-cost tradeoff, and compare it to other prominent optical network architectures.
Vincent W. S. Chan   +2 more
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Learning Optical Flow

2008
Assumptions of brightness constancy and spatial smoothness underlie most optical flow estimation methods. In contrast to standard heuristic formulations, we learn a statistical model of both brightness constancy error and the spatial properties of optical flow using image sequences with associated ground truth flow fields.
Deqing Sun   +3 more
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Robust Optical Flow Integration

IEEE Transactions on Image Processing, 2015
We analyze the problem of how to correctly construct dense point trajectories from optical flow fields. First, we show that simple Euler integration is unavoidably inaccurate, no matter how good is the optical flow estimator. Then, an inverse integration scheme is analyzed which is more robust to bias and input noise and shows better stability ...
Tomás Crivelli   +4 more
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Optical flow and deformable objects

Proceedings of IEEE International Conference on Computer Vision, 2002
When a plane undergoes a deformation that can be represented by a planar linear vector field, the projected vector field on the image plane of an optical device is at most quadratic. This 2D motion field has one singular point, with eigenvalues identical to those of the singular point describing the deformation.
GIACHETTI, Andrea, Torre, Vincent
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On the Spatial Statistics of Optical Flow

International Journal of Computer Vision, 2005
We develop a method for learning the spatial statistics of optical flow fields from a novel training database. Training flow fields are constructed using range images of natural scenes and 3D camera motions recovered from handheld and car-mounted video sequences.
Stefan Roth 0001, Michael J. Black
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On the information in optical flows

Computer Vision, Graphics, and Image Processing, 1983
Abstract This paper outlines the structure of optical flows and their relation to relative depth, local surface orientation, relative motion, and the source of optokinetic information, the retinal velocities. Some possibilities and limitations of optical flows as a source of information about the three-dimensional environment are also discussed.
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Optic Flow and Autonomous Navigation

Perception, 1995
Many animals, especially insects, compute and use optic flow to control their motion direction and to avoid obstacles. Recent advances in computer vision have shown that an adequate optic flow can be computed from image sequences. Therefore studying whether artificial systems, such as robots, can use optic flow for similar purposes is of particular ...
CAMPANI M, GIACHETTI A, TORRE V
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