IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Analysis Using Multigrid Relaxation Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Investigations of multigrid algorithms for the estimation of optical flow fieldsin image sequences
Computer Vision, Graphics, and Image Processing
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
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
A Fast Scalable Algorithm for Discontinuous Optical Flow Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
A multigrid tutorial: second edition
A multigrid tutorial: second edition
Reliable Estimation of Dense Optical Flow Fields with Large Displacements
International Journal of Computer Vision
Multigrid
A Theoretical Framework for Convex Regularizers in PDE-Based Computation of Image Motion
International Journal of Computer Vision
Variational Optic Flow Computation with a Spatio-Temporal Smoothness Constraint
Journal of Mathematical Imaging and Vision
Computational Methods for Inverse Problems
Computational Methods for Inverse Problems
Optimal Control Formulation for Determining Optical Flow
SIAM Journal on Scientific Computing
On the Convergence of the Lagged Diffusivity Fixed Point Method in Total Variation Image Restoration
SIAM Journal on Numerical Analysis
An Algebraic Multigrid Approach for Image Analysis
SIAM Journal on Scientific Computing
Hierarchical Model-Based Motion Estimation
ECCV '92 Proceedings of the Second European Conference on 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
A Multigrid Approach for Hierarchical Motion Estimation
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
A Multigrid Approach for Hierarchical Motion Estimation
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Lucas/Kanade meets Horn/Schunck: combining local and global optic flow methods
International Journal of Computer Vision
Towards Ultimate Motion Estimation: Combining Highest Accuracy with Real-Time Performance
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
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
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 optical flow computation in real time
IEEE Transactions on Image Processing
Domain decomposition for variational optical-flow computation
IEEE Transactions on Image Processing
An Unbiased Second-Order Prior for High-Accuracy Motion Estimation
Proceedings of the 30th DAGM symposium on Pattern Recognition
Is Dense Optic Flow Useful to Compute the Fundamental Matrix?
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
A new energy-based method for 3D motion estimation of incompressible PIV flows
Computer Vision and Image Understanding
A Multi-scale Feature Based Optic Flow Method for 3D Cardiac Motion Estimation
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
A Demons Algorithm for Image Registration with Locally Adaptive Regularization
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Accurate Real-Time Disparity Estimation with Variational Methods
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
Robust variational reconstruction from multiple views
SCIA'07 Proceedings of the 15th Scandinavian conference on Image analysis
Illumination-robust variational optical flow with photometric invariants
Proceedings of the 29th DAGM conference on Pattern recognition
A duality based approach for realtime TV-L1 optical flow
Proceedings of the 29th DAGM conference on Pattern recognition
Image statistics and local spatial conditions for nonstationary blurred image reconstruction
Proceedings of the 29th DAGM conference on Pattern recognition
Pedestrian detection using global-local motion patterns
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
GPU-based multigrid: real-time performance in high resolution nonlinear image processing
ICVS'08 Proceedings of the 6th international conference on Computer vision systems
Rapid stereo-vision enhanced face detection
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Variational optic flow on the Sony PlayStation 3
Journal of Real-Time Image Processing
Fine grain pipeline architecture for high performance phase-based optical flow computation
Journal of Systems Architecture: the EUROMICRO Journal
A parallel multigrid Poisson solver for fluids simulation on large grids
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Can Variational Models for Correspondence Problems Benefit from Upwind Discretisations?
Journal of Mathematical Imaging and Vision
A Database and Evaluation Methodology for Optical Flow
International Journal of Computer Vision
International Journal of Computer Vision
Real-time estimation of optical flow based on optimized haar wavelet features
EMO'11 Proceedings of the 6th international conference on Evolutionary multi-criterion optimization
Using active illumination for accurate variational space-time stereo
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
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
A robust multigrid approach for variational image registration models
Journal of Computational and Applied Mathematics
On the usage of GPUs for efficient motion estimation in medical image sequences
Journal of Biomedical Imaging - Special issue on Parallel Computation in Medical Imaging Applications
Video motion estimation with temporal coherence
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Dense versus Sparse Approaches for Estimating the Fundamental Matrix
International Journal of Computer Vision
Improving motion estimation using image-driven functions and hybrid scheme
PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part I
Stochastic models for local optical 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
SimpleFlow: A Non-iterative, Sublinear Optical Flow Algorithm
Computer Graphics Forum
Improving the robustness of variational optical flow through tensor voting
Computer Vision and Image Understanding
A multi-resolution approach for massively-parallel hardware-friendly optical flow estimation
Journal of Visual Communication and Image Representation
Pipelined architecture for real-time cost-optimized extraction of visual primitives based on FPGAs
Digital Signal Processing
Parallel architecture for hierarchical optical flow estimation based on FPGA
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
A Framework for Moving Least Squares Method with Total Variation Minimizing Regularization
Journal of Mathematical Imaging and Vision
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Variational methods are among the most accurate techniques for estimating the optic flow. They yield dense flow fields and can be designed such that they preserve discontinuities, estimate large displacements correctly and perform well under noise and varying illumination. However, such adaptations render the minimisation of the underlying energy functional very expensive in terms of computational costs: Typically one or more large linear or nonlinear equation systems have to be solved in order to obtain the desired solution. Consequently, variational methods are considered to be too slow for real-time performance. In our paper we address this problem in two ways: (i) We present a numerical framework based on bidirectional multigrid methods for accelerating a broad class of variational optic flow methods with different constancy and smoothness assumptions. Thereby, our work focuses particularly on regularisation strategies that preserve discontinuities. (ii) We show by the examples of five classical and two recent variational techniques that real-time performance is possible in all cases--even for very complex optic flow models that offer high accuracy. Experiments show that frame rates up to 63 dense flow fields per second for image sequences of size 160 脳 120 can be achieved on a standard PC. Compared to classical iterative methods this constitutes a speedup of two to four orders of magnitude.