Phase-based disparity measurement
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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Disparity from Monogenic Phase
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Modeling foreshortening in stereo vision using local spatial frequency
IROS '95 Proceedings of the International Conference on Intelligent Robots and Systems-Volume 1 - Volume 1
The Monogenic Scale-Space: A Unifying Approach to Phase-Based Image Processing in Scale-Space
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The Monogenic Scale Space on a Rectangular Domain and its Features
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Multiple motion estimation using channel matrices
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On variational methods for fluid flow estimation
IWCM'04 Proceedings of the 1st international conference on Complex motion
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Nonlinear image operators for the evaluation of local intrinsic dimensionality
IEEE Transactions on Image Processing
3D point-of-regard, position and head orientation from a portable monocular video-based eye tracker
Proceedings of the 2008 symposium on Eye tracking research & applications
Multiple motion estimation using channel matrices
IWCM'04 Proceedings of the 1st international conference on Complex motion
Steerable wavelet frames based on the Riesz transform
IEEE Transactions on Image Processing
A compact harmonic code for early vision based on anisotropic frequency channels
Computer Vision and Image Understanding
BVAI'05 Proceedings of the First international conference on Brain, Vision, and Artificial Intelligence
Improving accuracy of optical flow of heeger's original method on biomedical images
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Monogenic phase based optical flow computation for myocardial motion analysis in 3d echocardiography
STACOM'12 Proceedings of the third international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
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The optical flow can be estimated by several different methods, some of them require multiple frames some make use of just two frames. One approach to the latter problem is optical flow from phase. However, in contrast to (horizontal) disparity from phase, this method suffers from the phase being oriented, i.e., classical quadrature filter have a predefined orientation in which the phase estimation is correct and the phase error grows with increasing deviation from the local image orientation. Using the approach of the monogenic phase instead, results in correct phase estimates for all orientations if the signal is locally 1D. This allows to estimate the optical flow with sub-pixel accuracy from a multiresolution analysis with seven filter responses at each scale. The paper gives a short and easy to comprehend overview about the theory of the monogenic phase and the formula for the displacement estimation is derived from a series expansion of the phase. Some basic experiments are presented.