Journal of Approximation Theory
Performance of optical flow techniques
International Journal of Computer Vision
The robust estimation of multiple motions: parametric and piecewise-smooth flow fields
Computer Vision and Image Understanding
Applied Numerical Mathematics
Rate of Convergence of Some Space Decomposition Methods for Linear and Nonlinear Problems
SIAM Journal on Numerical Analysis
Dense Estimation of Fluid Flows
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Orthogonal Decomposition Theorems for Mimetic Finite Difference Methods
SIAM Journal on Numerical Analysis
Divergence- and curl-preserving prolongation and restriction formulas
Journal of Computational Physics
Global and uniform convergence of subspace correction methods for some convex optimization problems
Mathematics of Computation
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Extraction of Singular Points from Dense Motion Fields: An Analytic Approach
Journal of Mathematical Imaging and Vision
Variational dense motion estimation using the Helmholtz decomposition
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Discrete orthogonal decomposition and variational fluid flow estimation
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
A Variational Technique for Time Consistent Tracking of Curves and Motion
Journal of Mathematical Imaging and Vision
Decomposition of Quadratic Variational Problems
Proceedings of the 30th DAGM symposium on Pattern Recognition
Total-Variation Based Piecewise Affine Regularization
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
A consistent spatio-temporal motion estimator for atmospheric layers
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
A variational framework for spatio-temporal smoothing of fluid motions
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Stochastic models for local optical flow estimation
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Wavelet-Based fluid motion estimation
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Multiscale weighted ensemble kalman filter for fluid flow estimation
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Robust optic-flow estimation with bayesian inference of model and hyper-parameters
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
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We exploit the mimetic finite difference method introduced by Hyman and Shashkov to present a framework for estimating vector fields and related scalar fields (divergence, curl) of physical interest from image sequences. Our approach provides a basis for consistent definitions of higher-order differential operators, for the analysis and a novel stability result concerning second-order div-curl regularizers, for novel variational schemes to the estimation of solenoidal (divergence-free) image flows, and to convergent numerical methods in terms of subspace corrections.