A note on the gradient of a multi-image
Computer Vision, Graphics, and Image Processing - Lectures notes in computer science, Vol. 201 (G. Goos and J. Hartmanis, Eds.)
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scene Segmentation from Visual Motion Using Global Optimization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visual reconstruction
On the estimation of optical flow: relations between different approaches and some new results
Artificial Intelligence
Investigations of multigrid algorithms for the estimation of optical flow fieldsin image sequences
Computer Vision, Graphics, and Image Processing
Nonlinear functional analysis and its applications
Nonlinear functional analysis and its applications
Simulated annealing: theory and applications
Simulated annealing: theory and applications
Weakly differentiable functions
Weakly differentiable functions
ECCV 90 Proceedings of the first european conference on Computer vision
Computation of component image velocity from local phase information
International Journal of Computer Vision
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Performance of optical flow techniques
International Journal of Computer Vision
Determination of optical flow and its discontinuities using non-linear diffusion
ECCV '94 Proceedings of the third European conference on Computer Vision (Vol. II)
Robust computation of optical flow in a multi-scale differential framework
International Journal of Computer Vision
Artificial Intelligence - Special volume on computer vision
The robust estimation of multiple motions: parametric and piecewise-smooth flow fields
Computer Vision and Image Understanding
Computation and analysis of image motion: a synopsis of current problems and methods
International Journal of Computer Vision
Computing optical flow via variational techniques
SIAM Journal on Applied Mathematics
Reliable Estimation of Dense Optical Flow Fields with Large Displacements
International Journal of Computer Vision
Images as Embedded Maps and Minimal Surfaces: Movies, Color, Texture, and Volumetric Medical Images
International Journal of Computer Vision - Special issue on computer vision research at the Technion
Gaussian Scale-Space Theory
Variational Optic Flow Computation with a Spatio-Temporal Smoothness Constraint
Journal of Mathematical Imaging and Vision
On Functionals with Greyvalue-Controlled Smoothness Terms for Determining Optical Flow
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multimodal Estimation of Discontinuous Optical Flow using Markov Random Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Variational Approach to the Design of Early Vision Algorithms
Proceedings of the 7th TFCV on Theoretical Foundations of Computer Vision
Optical-Flow Estimation while Preserving Its Discontinuities: A Variational Approach
ACCV '95 Invited Session Papers from the Second Asian Conference on Computer Vision: Recent Developments in Computer Vision
Variational Image Motion Computation: Theoretical Framework, Problems and Perspectives
Mustererkennung 2000, 22. DAGM-Symposium
Optical flow: a curve evolution approach
IEEE Transactions on Image Processing
Dense estimation and object-based segmentation of the optical flow with robust techniques
IEEE Transactions on Image Processing
Variational Optic Flow Computation with a Spatio-Temporal Smoothness Constraint
Journal of Mathematical Imaging and Vision
Orthonormal Vector Sets Regularization with PDE's and Applications
International Journal of Computer Vision
Symmetrical Dense Optical Flow Estimation with Occlusions Detection
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Motion Competition: Variational Integration of Motion Segmentation and Shape Regularization
Proceedings of the 24th DAGM Symposium on Pattern Recognition
Adaptive Grid Refinement Procedures for Efficient Optical Flow Computation
International Journal of Computer Vision
Lucas/Kanade meets Horn/Schunck: combining local and global optic flow methods
International Journal of Computer Vision
Motion Competition: A Variational Approach to Piecewise Parametric Motion Segmentation
International Journal of Computer Vision
Highly Accurate Optic Flow Computation with Theoretically Justified Warping
International Journal of Computer Vision
International Journal of Computer Vision
Symmetrical Dense Optical Flow Estimation with Occlusions Detection
International Journal of Computer Vision
Guessing Tangents in Normal Flows
Journal of Mathematical Imaging and Vision
Edge-and-corner preserving regularization for image interpolation and reconstruction
Image and Vision Computing
A Geometric Framework and a New Criterion in Optical Flow Modeling
Journal of Mathematical Imaging and Vision
Optical-flow based on an edge-avoidance procedure
Computer Vision and Image Understanding
A new energy-based method for 3D motion estimation of incompressible PIV flows
Computer Vision and Image Understanding
A Nonlinear Structure Tensor with the Diffusivity Matrix Composed of the Image Gradient
Journal of Mathematical Imaging and Vision
A Scale-Space Approach to Landmark Constrained Image Registration
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Properties of Higher Order Nonlinear Diffusion Filtering
Journal of Mathematical Imaging and Vision
On a Decomposition Model for Optical Flow
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
A convex optimization approach for depth estimation under illumination variation
IEEE Transactions on Image Processing
Accurate Real-Time Disparity Estimation with Variational Methods
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
A periodic optical flow model for cardiac gated images
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
Image and Vision Computing
Bayesian approaches to motion-based image and video segmentation
IWCM'04 Proceedings of the 1st international conference on Complex motion
On variational methods for fluid flow estimation
IWCM'04 Proceedings of the 1st international conference on Complex motion
Data-driven animation of crowds
MIRAGE'07 Proceedings of the 3rd international conference on Computer vision/computer graphics collaboration techniques
Variational dense motion estimation using the Helmholtz decomposition
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
A multiphase level set framework for motion segmentation
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
A variational approach for 3D motion estimation of incompressible PIV flows
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Imaging brain activation streams from optical flow computation on 2-riemannian manifolds
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
An adaptive confidence measure for optical flows based on linear subspace projections
Proceedings of the 29th DAGM conference on Pattern recognition
Bayesian model selection for optical flow estimation
Proceedings of the 29th DAGM conference on Pattern recognition
A duality based algorithm for TV-L¹-optical-flow image registration
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Optical flow and total least squares solution for multi-scale data in an over-determined system
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part II
3D motion estimation using a combination of correlation and variational methods for PIV
EUROCAST'07 Proceedings of the 11th international conference on Computer aided systems theory
EUROCAST'07 Proceedings of the 11th international conference on Computer aided systems theory
Optical flow estimation for a periodic image sequence
IEEE Transactions on Image Processing
Generalised Nonlocal Image Smoothing
International Journal of Computer Vision
Challenges of medical image processing
Computer Science - Research and Development
Conservative motion estimation from multi-image sequences
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part I
International Journal of Computer Vision
A variational framework for image segmentation combining motion estimation and shape regularization
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Control of the Effects of Regularization on Variational Optic Flow Computations
Journal of Mathematical Imaging and Vision
International Journal of Computer Vision
Intermediate flow field filtering in energy based optic flow computations
EMMCVPR'11 Proceedings of the 8th international conference on Energy minimization methods in computer vision and pattern recognition
Line Search Multilevel Optimization as Computational Methods for Dense Optical Flow
SIAM Journal on Imaging Sciences
Diffusion-Like reconstruction schemes from linear data models
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
A variational approach to joint denoising, edge detection and motion estimation
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
Dense versus Sparse Approaches for Estimating the Fundamental Matrix
International Journal of Computer Vision
An integral solution to surface evolution PDEs via geo-cuts
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Discontinuity-preserving computation of variational optic flow in real-time
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Improving the robustness of variational optical flow through tensor voting
Computer Vision and Image Understanding
A complete confidence framework for optical flow
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume 2
Hierarchical properties of multi-resolution optical flow computation
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume 2
ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part II
Optical flow estimation for motion-compensated compression
Image and Vision Computing
Adaptive large window correlation for optical flow estimation with discrete optimization
Image and Vision Computing
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Many differential methods for the recovery of the optic flow field from an image sequence can be expressed in terms of a variational problem where the optic flow minimizes some energy. Typically, these energy functionals consist of two terms: a data term, which requires e.g. that a brightness constancy assumption holds, and a regularizer that encourages global or piecewise smoothness of the flow field. In this paper we present a systematic classification of rotation invariant convex regularizers by exploring their connection to diffusion filters for multichannel images. This taxonomy provides a unifying framework for data-driven and flow-driven, isotropic and anisotropic, as well as spatial and spatio-temporal regularizers. While some of these techniques are classic methods from the literature, others are derived here for the first time. We prove that all these methods are well-posed: they posses a unique solution that depends in a continuous way on the initial data. An interesting structural relation between isotropic and anisotropic flow-driven regularizers is identified, and a design criterion is proposed for constructing anisotropic flow-driven regularizers in a simple and direct way from isotropic ones. Its use is illustrated by several examples.