Anisotropic diffusion for Monte Carlo noise reduction
ACM Transactions on Graphics (TOG)
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
Orthonormal Vector Sets Regularization with PDE's and Applications
International Journal of Computer Vision
An Adaptive Finite Element Method for Large Scale Image Processing
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Adaptive Smoothing via Contextual and Local Discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Intuition on boundaries, shocks and smoothing with PDEs
ACM SIGGRAPH 2007 courses
A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration
Journal of Scientific Computing
An efficient layered data compression scheme with constraint analysis
Mathematics and Computers in Simulation
A novel PDE based image restoration: Convection-diffusion equation for image denoising
Journal of Computational and Applied Mathematics
A fast multigrid implicit algorithm for the evolution of geodesic active contours
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
A comparison of photometric normalisation algorithms for face verification
FGR' 04 Proceedings of the Sixth IEEE international conference on Automatic face and gesture recognition
Iterative Parameter-Choice and Multigrid Methods for Anisotropic Diffusion Denoising
SIAM Journal on Scientific Computing
Diffusion-Like reconstruction schemes from linear data models
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
A comparative study of face representations in the frequency domain
CIARP'06 Proceedings of the 11th Iberoamerican conference on Progress in Pattern Recognition, Image Analysis and Applications
An edge-preserving multigrid-like technique for image denoising
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I
Photometric normalisation for face verification
AVBPA'05 Proceedings of the 5th international conference on Audio- and Video-Based Biometric Person Authentication
A multigrid approach to image processing
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
On the impact of anisotropic diffusion on edge detection
Pattern Recognition
Numerical Methods for Two-Dimensional Stem Cell Tissue Growth
Journal of Scientific Computing
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A multigrid anisotropic diffusion algorithm for image processing is presented. The multigrid implementation provides an efficient hierarchical relaxation method that facilitates the application of anisotropic diffusion to time-critical processes. Through a multigrid V-cycle, the anisotropic diffusion equations are successively transferred to coarser grids and used in a coarse-to-fine error correction scheme. When a coarse grid with a trivial solution is reached, the coarse grid estimates of the residual error can be propagated to the original grid and used to refine the solution. The main benefits of the multigrid approach are rapid intraregion smoothing and reduction of artifacts due to the elimination of low-frequency error. The theory of multigrid anisotropic diffusion is developed. Then, the intergrid transfer functions, relaxation techniques, diffusion coefficients, and boundary conditions are discussed. The analysis includes the examination of the storage requirements, the computational cost, and the solution quality. Finally, experimental results are reported that demonstrate the effectiveness of the multigrid approach