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
A multigrid tutorial (2nd ed.)
A multigrid tutorial (2nd ed.)
Reliable Estimation of Dense Optical Flow Fields with Large Displacements
International Journal of Computer Vision
Multigrid
A user-programmable vertex engine
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A multigrid solver for boundary value problems using programmable graphics hardware
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Sparse matrix solvers on the GPU: conjugate gradients and multigrid
ACM SIGGRAPH 2003 Papers
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
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
International Journal of Computer Vision
Optimization strategies for high-performance computing of optical-flow in general-purpose processors
IEEE Transactions on Circuits and Systems for Video Technology
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
Dense point trajectories by GPU-accelerated large displacement optical flow
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
International Journal of Computer Vision
ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part II
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Multigrid methods provide fast solvers for a wide variety of problems encountered in computer vision. Recent graphics hardware is ideally suited for the implementation of such methods, but this potential has not yet been fully realized. Typically, work in that area focuses on linear systems only, or on implementation of numerical solvers that are not as efficient as multigrid methods. We demonstrate that nonlinear multigrid methods can be used to great effect on modern graphics hardware. Specifically, we implement two applications: a nonlinear denoising filter and a solver for variational optical flow. We show that performing these computations on graphics hardware is between one and two orders of magnitude faster than comparable CPU-based implementations.