Image Sequence Analysis via Partial Differential Equations
Journal of Mathematical Imaging and Vision
International Journal of Computer Vision
Vector Median Filters, Inf-Sup Operations, and Coupled PDE's: Theoretical Connections
Journal of Mathematical Imaging and 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
IEEE Transactions on Pattern Analysis and Machine Intelligence
Adaptive Image Segmentation by Combining Photometric Invariant Region and Edge Information
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometry and Color in Natural Images
Journal of Mathematical Imaging and Vision
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
Designing Effective Transfer Functions for Volume Rendering from Photographic Volumes
IEEE Transactions on Visualization and Computer Graphics
Generalized Spatio-Chromatic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the Representation of Visual Information
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Two Variational Models for Multispectral Image Classification
EMMCVPR '01 Proceedings of the Third International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Line Integral Convolution for Visualization of Fiber Tract Maps from DTI
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part II
Interactive Query Formulation for Object Search
VISUAL '99 Proceedings of the Third International Conference on Visual Information and Information Systems
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Geometry Motivated Variational Segmentation for Color Images
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Color Image Segmentation Using Anisotropic Diffusion and Agglomerative Hierarchical Clustering
PCM '02 Proceedings of the Third IEEE Pacific Rim Conference on Multimedia: Advances in Multimedia Information Processing
The Perceptual Organization of Texture Flow: A Contextual Inference Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Poisson equation for image texture modelling
Pattern Recognition Letters
Isotropic Energies, Filters and Splines for Vector Field Regularization
Journal of Mathematical Imaging and Vision
A fast multi-scale edge detection algorithm
Pattern Recognition Letters
Linear color segmentation and its implementation
Computer Vision and Image Understanding - Special issue on color for image indexing and retrieval
Hue geometry and horizontal connections
Neural Networks - 2004 Special issue Vision and brain
Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast Anisotropic Smoothing of Multi-Valued Images using Curvature-Preserving PDE's
International Journal of Computer Vision
Curvature-Driven PDE Methods for Matrix-Valued Images
International Journal of Computer Vision
Astronomical image restoration using an improved anisotropic diffusion
Pattern Recognition Letters
Edge-Forming Methods for Image Zooming
Journal of Mathematical Imaging and Vision
Color Image Segmentation for Objects of Interest with Modified Geodesic Active Contour Method
Journal of Mathematical Imaging and Vision
Selection and Fusion of Color Models for Image Feature Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Graph regularization for color image processing
Computer Vision and Image Understanding
An anisotropic diffusion-based defect detection for low-contrast glass substrates
Image and Vision Computing
Graph spectral image smoothing using the heat kernel
Pattern Recognition
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
A Multicomponent Image Segmentation Framework
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Regularizing Flows over Lie Groups
Journal of Mathematical Imaging and Vision
A Robust Denoising Filter with Adaptive Edge Preservation
PCM '08 Proceedings of the 9th Pacific Rim Conference on Multimedia: Advances in Multimedia Information Processing
Convex Multi-class Image Labeling by Simplex-Constrained Total Variation
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Projected Gradient Based Color Image Decomposition
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
New Riemannian techniques for directional and tensorial image data
Pattern Recognition
Watershed merging method for color images
Annales UMCS, Informatica
A logic framework for active contours on multi-channel images
Journal of Visual Communication and Image Representation
Coordinate-free diffusion over compact Lie-groups
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Riemannian curvature-driven flows for tensor-valued data
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Journal of Mathematical Imaging and Vision
On high-order denoising models and fast algorithms for vector-valued images
IEEE Transactions on Image Processing
An improved anisotropic diffusion model for detail- and edge-preserving smoothing
Pattern Recognition Letters
Differential geometry based solvation model I: Eulerian formulation
Journal of Computational Physics
Review article: Edge and line oriented contour detection: State of the art
Image and Vision Computing
Anisotropic diffusion for noise removal of band pass signals
Signal Processing
Application of the Topological Gradient Method to Color Image Restoration
SIAM Journal on Imaging Sciences
SIAM Journal on Imaging Sciences
Vector-valued image regularization with PDE's: a common framework for different applications
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
Numerical scheme for efficient colour image denoising
Computers & Mathematics with Applications
Wireless capsule endoscopy images enhancement via adaptive contrast diffusion
Journal of Visual Communication and Image Representation
Image Sharpening via Sobolev Gradient Flows
SIAM Journal on Imaging Sciences
Smoothing tensor-valued images using anisotropic geodesic diffusion
SSPR'06/SPR'06 Proceedings of the 2006 joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
GVF-Based transfer functions for volume rendering
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Journal of Scientific Computing
Denoising tensors via lie group flows
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Curvature-Preserving regularization of multi-valued images using PDE's
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Detecting spatiotemporal structure boundaries: beyond motion discontinuities
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part II
Continuous Multiclass Labeling Approaches and Algorithms
SIAM Journal on Imaging Sciences
Journal of Visual Communication and Image Representation
Application of backward stochastic differential equations to reconstruction of vector-valued images
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
Polyakov action minimization for efficient color image processing
ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part II
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A general framework for anisotropic diffusion of multivalued images is presented. We propose an evolution equation where, at each point in time, the directions and magnitudes of the maximal and minimal rate of change in the vector-image are first evaluated. These are given by eigenvectors and eigenvalues of the first fundamental form in the given image metric. Then, the image diffuses via a system of coupled differential equations in the direction of minimal change. The diffusion “strength” is controlled by a function that measures the degree of dissimilarity between the eigenvalues. We apply the proposed framework to the filtering of color images represented in CIE-L*a*b* space