Anisotropic diffusion for Monte Carlo noise reduction
ACM Transactions on Graphics (TOG)
Image Sequence Analysis via Partial Differential Equations
Journal of Mathematical Imaging and Vision
International Journal of Computer Vision
Encoding Visual Information Using Anisotropic Transformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Mean Shift: A Robust Approach Toward Feature Space Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast bilateral filtering for the display of high-dynamic-range images
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Diffusions and Confusions in Signal and Image Processing
Journal of Mathematical Imaging and Vision
Isophotes Selection and Reaction-Diffusion Model for Object Boundaries Estimation
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Adaptive rest condition potentials: first and second order edge-preserving regularization
Computer Vision and Image Understanding
Adaptive Rest Condition Potentials: Second Order Edge-Preserving Regularization
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
A Variational Approach to Maximum a Posteriori Estimation for Image Denoising
EMMCVPR '01 Proceedings of the Third International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Segmentation of 3D Medical Structures Using Robust Ray Propagation
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part I
A Windows-Based User Friendly System for Image Analysis with Partial Differential Equations
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Edges as Outliers: Anisotropic Smoothing Using Local Image Statistics
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Bilateral Filtering and Anisotropic Diffusion: Towards a Unified Viewpoint
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
On the Coupled Forward and Backward Anisotropic Diffusion Scheme for Color Image Enhancement
CIVR '02 Proceedings of the International Conference on Image and Video Retrieval
3D Anisotropic Diffusion Filtering for Enhancing Noisy Actin Filament Fluorescence Images
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Combined Forward and Backward Anisotropic Diffusion Filtering of Color Images
Proceedings of the 24th DAGM Symposium on Pattern Recognition
The Perceptual Organization of Texture Flow: A Contextual Inference Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Framework for Robust Subspace Learning
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
Journal of Computational Physics
On the geodesic paths approach to color image filtering
Signal Processing
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
The trilateral filter for high contrast images and meshes
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
Smart Nonlinear Diffusion: A Probabilistic Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimating Piecewise-Smooth Optical Flow with Global Matching and Graduated Optimization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Higher-Order Nonlinear Priors for Surface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Region-based image retrieval using integrated color, shape, and location index
Computer Vision and Image Understanding - Special issue on color for image indexing and retrieval
Nonlinear diffusion filtering on extended neighborhood
Applied Numerical Mathematics
A diffusion stick method for speckle suppression in ultrasonic images
Pattern Recognition Letters
Dental Biometrics: Alignment and Matching of Dental Radiographs
IEEE Transactions on Pattern Analysis and Machine Intelligence
Canny Edge Detection Enhancement by Scale Multiplication
IEEE Transactions on Pattern Analysis and Machine Intelligence
Adaptive Smoothing via Contextual and Local Discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Least Squares and Robust Estimation of Local Image Structure
International Journal of Computer Vision
Diffusion-Inspired Shrinkage Functions and Stability Results for Wavelet Denoising
International Journal of Computer Vision
Image contrast enhancement via entropy production
Real-Time Imaging - Special issue on imaging in bioinformatics: Part III
Robust anisotropic diffusion to produce enhanced statistical parametric map from noisy fMRI
Computer Vision and Image Understanding
A sharpness dependent filter for mesh smoothing
Computer Aided Geometric Design - Special issue: Geometry processing
Channel Smoothing: Efficient Robust Smoothing of Low-Level Signal Features
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Surface Reconstruction Method Using Global Graph Cut Optimization
International Journal of Computer Vision
Segmentation of tiny objects in very poor-quality angiogenesis images
Pattern Recognition Letters
Fast Anisotropic Smoothing of Multi-Valued Images using Curvature-Preserving PDE's
International Journal of Computer Vision
Automatic selection of edge detector parameters based on spatial and statistical measures
Computer Vision and Image Understanding
Image Deblurring in the Presence of Impulsive Noise
International Journal of Computer Vision
Coupled anisotropic diffusion for image selective smoothing
Signal Processing
Multiframe selective information fusion for 'looking through the woods'
ICME '03 Proceedings of the 2003 International Conference on Multimedia and Expo - Volume 2
Random Walks for Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Accurate and Scalable Surface Representation and Reconstruction from Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
The trilateral filter for high contrast images and meshes
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Graphical Models - Special issue on the vision, video and graphics conference 2005
Space-Time Adaptation for Patch-Based Image Sequence Restoration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Algorithmic Differentiation: Application to Variational Problems in Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
A gentle introduction to bilateral filtering and its applications
ACM SIGGRAPH 2007 courses
A biologically motivated multiresolution approach to contour detection
EURASIP Journal on Applied Signal Processing
A nonlinear entropic variational model for image filtering
EURASIP Journal on Applied Signal Processing
Edge-preserving wavelet thresholding for image denoising
Journal of Computational and Applied Mathematics
EURASIP Journal on Advances in Signal Processing
Edge-preserving decompositions for multi-scale tone and detail manipulation
ACM SIGGRAPH 2008 papers
Progressive inter-scale and intra-scale non-blind image deconvolution
ACM SIGGRAPH 2008 papers
Local Adaptivity to Variable Smoothness for Exemplar-Based Image Regularization and Representation
International Journal of Computer Vision
Technical Section: A direction-oriented sharpness dependent filter for 3D polygon meshes
Computers and Graphics
Image denoising and fuzziness measures
NN'06 Proceedings of the 7th WSEAS International Conference on Neural Networks
Topological derivative: A tool for image processing
Computers and Structures
Equalized net diffusion (END) in Image denoising
MATH'06 Proceedings of the 10th WSEAS International Conference on APPLIED MATHEMATICS
Noise reduction and edge detection via kernel anisotropic diffusion
Pattern Recognition Letters
Robust color image superresolution: an adaptive M-estimation framework
Journal on Image and Video Processing - Color in Image and Video Processing
An adaptive window mechanism for image smoothing
Computer Vision and Image Understanding
Graph spectral image smoothing using the heat kernel
Pattern Recognition
A gentle introduction to bilateral filtering and its applications
ACM SIGGRAPH 2008 classes
Geometric Structure Filtering Using Coupled Diffusion Process and CNN-Based Approach
ICAISC '08 Proceedings of the 9th international conference on Artificial Intelligence and Soft Computing
Color Photo Denoising Via Hue, Saturation and Intensity Diffusion
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Joint Detection of the Carotid Boundaries in Longitudinal B-Mode Images
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Extracting Tractosemas from a Displacement Probability Field for Tractography in DW-MRI
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Weights and Topology: A Study of the Effects of Graph Construction on 3D Image Segmentation
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Multidimensional Systems and Signal Processing
A Robust Method for Edge-Preserving Image Smoothing
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Robust Estimation Approach for NL-Means Filter
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
A Fast Approximation of the Bilateral Filter Using a Signal Processing Approach
International Journal of Computer Vision
A Self-governing Hybrid Model for Noise Removal
PSIVT '09 Proceedings of the 3rd Pacific Rim Symposium on Advances in Image and Video Technology
International Journal of Computer Vision
Edge-avoiding wavelets and their applications
ACM SIGGRAPH 2009 papers
Scale Selection for Compact Scale-Space Representation of Vector-Valued Images
International Journal of Computer Vision
An Anisotropic Fourth-Order Partial Differential Equation for Noise Removal
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Diffusion-Based Detection of Carotid Artery Lumen from Ultrasound Images
ICIAR '09 Proceedings of the 6th International Conference on Image Analysis and Recognition
Mumford-Shah regularizer with contextual feedback
Journal of Mathematical Imaging and Vision
Localization with snap-inducing shaped residuals (SISR): coping with errors in measurement
Proceedings of the 15th annual international conference on Mobile computing and networking
An Improved Adaptive Smoothing Method
ICIAP '09 Proceedings of the 15th International Conference on Image Analysis and Processing
A novel PDE based image restoration: Convection-diffusion equation for image denoising
Journal of Computational and Applied Mathematics
A sharpness dependent filter for mesh smoothing
Computer Aided Geometric Design - Special issue: Geometry processing
Robust anisotropic diffusion to produce enhanced statistical parametric map from noisy fMRI
Computer Vision and Image Understanding
Automatic selection of edge detector parameters based on spatial and statistical measures
Computer Vision and Image Understanding
Computer-assisted venous thrombosis volume quantification
IEEE Transactions on Information Technology in Biomedicine
Adaptive total variation denoising based on difference curvature
Image and Vision Computing
Contourlet transform based complex diffusion for ultrasonic speckle reduction
BioMED '08 Proceedings of the Sixth IASTED International Conference on Biomedical Engineering
PDE-based filtering of motion sequences
Journal of Computational and Applied Mathematics
GradientShop: A gradient-domain optimization framework for image and video filtering
ACM Transactions on Graphics (TOG)
Ramp preserving Perona-Malik model
Signal Processing
Peer group switching filter for impulse noise reduction incolor images
Pattern Recognition Letters
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Correspondences between wavelet shrinkage and nonlinear diffusion
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Least squares and robust estimation of local image structure
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
A common viewpoint on broad kernel filtering and nonlinear diffusion
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Scale selection for compact scale-space representation of vector-valued images
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Mumford-Shah regularizer with spatial coherence
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
IEEE Transactions on Image Processing
ACIVS'07 Proceedings of the 9th international conference on Advanced concepts for intelligent vision systems
Robust kernel methods for sparse MR image reconstruction
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Scale selection for anisotropic diffusion filter by Markov random field model
Pattern Recognition
Ultrasound speckle reduction by a SUSAN-controlled anisotropic diffusion method
Pattern Recognition
Anisotropic diffusion for preserving boundary-edge
ICACT'10 Proceedings of the 12th international conference on Advanced communication technology
An improved anisotropic diffusion model for detail- and edge-preserving smoothing
Pattern Recognition Letters
Quasi-random nonlinear scale space
Pattern Recognition Letters
Homogeneity similarity based image denoising
Pattern Recognition
Smoothing of optical flow using robustified diffusion kernels
Image and Vision Computing
Diffusion maps for edge-aware image editing
ACM SIGGRAPH Asia 2010 papers
Iterative methods for anisotropic diffusion of speckled medical images
Applied Numerical Mathematics
Generalized probabilistic scale space for image restoration
IEEE Transactions on Image Processing - Special section on distributed camera networks: sensing, processing, communication, and implementation
Robust processing of optical flow of fluids
IEEE Transactions on Image Processing
Review article: Edge and line oriented contour detection: State of the art
Image and Vision Computing
Segmentation of ultrasound images of the carotid using RANSAC and cubic splines
Computer Methods and Programs in Biomedicine
Feature-preserving mesh denoising via attenuated bilateral normal filtering and quadrics
Proceedings of the 26th Spring Conference on Computer Graphics
Anisotropic diffusion for noise removal of band pass signals
Signal Processing
Automatic, robust global motion estimation using clustering
Image Communication
Nonlocal-means image denoising technique using robust M-estimator
Journal of Computer Science and Technology
Domain transform for edge-aware image and video processing
ACM SIGGRAPH 2011 papers
3D shape from anisotropic diffusion
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
A clustering technique for defect inspection
EC'05 Proceedings of the 6th WSEAS international conference on Evolutionary computing
Automatic parameter optimization for de-noising MR data
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
MCPR'10 Proceedings of the 2nd Mexican conference on Pattern recognition: Advances in pattern recognition
Color persistent anisotropic diffusion of images
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
Image smoothing via L0 gradient minimization
Proceedings of the 2011 SIGGRAPH Asia Conference
Speckle reduction of ultrasound images based on Rayleigh-trimmed anisotropic diffusion filter
Pattern Recognition Letters
Discontinuity-preserving moving least squares method
CIS'04 Proceedings of the First international conference on Computational and Information Science
Diffusion-Like reconstruction schemes from linear data models
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
Image denoising using the lyapunov equation from non-uniform samples
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I
AddCanny: edge detector for video processing
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
Optical flow diffusion with robustified kernels
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
Bilateral filtering-based optical flow estimation with occlusion detection
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Random walks, constrained multiple hypothesis testing and image enhancement
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Adaptive spatio-temporal restoration for 4d fluorescence microscopic imaging
MICCAI'05 Proceedings of the 8th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
A feature-preserving and volume-constrained flow for fairing irregular meshes
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Cortical surface alignment using geometry driven multispectral optical flow
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
Pattern Recognition Letters
Curvature-Preserving regularization of multi-valued images using PDE's
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Anisotropic diffusion for image denoising based on diffusion tensors
Journal of Visual Communication and Image Representation
Removal of interpolation induced artifacts in similarity surfaces
WBIR'06 Proceedings of the Third international conference on Biomedical Image Registration
Detection of arterial lumen in sonographic images based on active contours and diffusion filters
ICIAR'10 Proceedings of the 7th international conference on Image Analysis and Recognition - Volume Part II
A local variance-based bilateral filtering for artifact-free detail- and edge-preserving smoothing
PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part II
A multiresolution framework for local similarity based image denoising
Pattern Recognition
Histology image analysis for carcinoma detection and grading
Computer Methods and Programs in Biomedicine
Fuzzy diffusion filter with extended neighborhood
Expert Systems with Applications: An International Journal
A new denoising filter for brain MR images
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
Fuzzy based diffusion coefficient function in anisotropic diffusion for impulse noise removal
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
On the choice of the parameters for anisotropic diffusion in image processing
Pattern Recognition
Adaptive regularization-based space-time super-resolution reconstruction
Image Communication
Adaptive diffusion flow active contours for image segmentation
Computer Vision and Image Understanding
On the impact of anisotropic diffusion on edge detection
Pattern Recognition
Computers & Mathematics with Applications
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Relations between anisotropic diffusion and robust statistics are described in this paper. Specifically, we show that anisotropic diffusion can be seen as a robust estimation procedure that estimates a piecewise smooth image from a noisy input image. The “edge-stopping” function in the anisotropic diffusion equation is closely related to the error norm and influence function in the robust estimation framework. This connection leads to a new “edge-stopping” function based on Tukey's biweight robust estimator that preserves sharper boundaries than previous formulations and improves the automatic stopping of the diffusion. The robust statistical interpretation also provides a means for detecting the boundaries (edges) between the piecewise smooth regions in an image that has been smoothed with anisotropic diffusion. Additionally, we derive a relationship between anisotropic diffusion and regularization with line processes. Adding constraints on the spatial organization of the line processes allows us to develop new anisotropic diffusion equations that result in a qualitative improvement in the continuity of edges