Visual reconstruction
The existence of geometrical density—image transformations corresponding to object motion
Computer Vision, Graphics, and Image Processing
Multidimensional Orientation Estimation with Applications to Texture Analysis and Optical Flow
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing occluding and transparent motions
International Journal of Computer Vision
Performance of optical flow techniques
International Journal of Computer Vision
What is the goal of sensory coding?
Neural Computation
The robust estimation of multiple motions: parametric and piecewise-smooth flow fields
Computer Vision and Image Understanding
International Journal of Computer Vision
Robustly estimating changes in image appearance
Computer Vision and Image Understanding - Special issue on robusst statistical techniques in image understanding
Using known motion fields for image separation in transparency
Pattern Recognition Letters
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Layered 4D Representation and Voting for Grouping from Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Skin and Bones: Multi-layer, Locally Affine, Optical Flow and Regularization with Transparency
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Spatio-temporal filters for transparent motion segmentation
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol. 3)-Volume 3 - Volume 3
Separating Transparent Layers of Repetitive Dynamic Behaviors
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
Highly Accurate Optic Flow Computation with Theoretically Justified Warping
International Journal of Computer Vision
International Journal of Computer Vision
A Fast Biologically Inspired Algorithm for Recurrent Motion Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
The separation of reflected and transparent layers from real-world image sequence
Machine Vision and Applications
Over-Parameterized Variational Optical Flow
International Journal of Computer Vision
Divide-and-conquer strategies for estimating multiple transparent motions
IWCM'04 Proceedings of the 1st international conference on Complex motion
A variational approach for multi-valued velocity field estimation in transparent sequences
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
A theory of multiple orientation estimation
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
A robust multiscale B-spline function decomposition for estimating motion transparency
IEEE Transactions on Image Processing
Entropy-Controlled Quadratic Markov Measure Field Models for Efficient Image Segmentation
IEEE Transactions on Image Processing
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Motion estimation in sequences with transparencies is an important problem in robotics and medical imaging applications. In this work we propose a variational approach for estimating multi-valued velocity fields in transparent sequences. Starting from existing local motion estimators, we derive a variational model for integrating in space and time such a local information in order to obtain a robust estimation of the multi-valued velocity field. With this approach, we can indeed estimate multi-valued velocity fields which are not necessarily piecewise constant on a layer--each layer can evolve according to a non-parametric optical flow. We show how our approach outperforms existing methods; and we illustrate its capabilities on challenging experiments on both synthetic and real sequences.