International Journal of Computer Vision
Diffusions and Confusions in Signal and Image Processing
Journal of Mathematical Imaging and Vision
Orthonormal Vector Sets Regularization with PDE's and Applications
International Journal of Computer Vision
Systematic Methods for the Computation of the Directional Fields and Singular Points of Fingerprints
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized Spatio-Chromatic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Constrained Flows of Matrix-Valued Functions: Application to Diffusion Tensor Regularization
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
A Regularization Scheme for Diffusion Tensor Magnetic Resonance Images
IPMI '01 Proceedings of the 17th International Conference on Information Processing in Medical Imaging
Using Beltrami Framework for Orientation Diffusion in Image Processing
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Combing a Porcupine via Stereographic Direction Diffusion
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
On Computing Visual Flows with Boundaries: The Case of Shading and Edges
BMCV '02 Proceedings of the Second International Workshop on Biologically Motivated Computer Vision
The Perceptual Organization of Texture Flow: A Contextual Inference Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric surface processing via normal maps
ACM Transactions on Graphics (TOG)
Regularizing Flows for Constrained Matrix-Valued Images
Journal of Mathematical Imaging and Vision
Journal of Computational Physics
Numerical methods for minimization problems constrained to S1 and S2
Journal of Computational Physics
Fingerprint enhancement with dyadic scale-space
Pattern Recognition Letters
Channel Smoothing: Efficient Robust Smoothing of Low-Level Signal Features
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
A Generative Sketch Model for Human Hair Analysis and Synthesis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Application of a new type of singular points in fingerprint classification
Pattern Recognition Letters
Poincare based singularities detection algorithm in fingerprint classification
MUSP'08 Proceedings of the 8th WSEAS International Conference on Multimedia systems and signal processing
Color Photo Denoising Via Hue, Saturation and Intensity Diffusion
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
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
An Improved LOT Model for Image Restoration
Journal of Mathematical Imaging and Vision
A gradient-based combined method for the computation of fingerprints' orientation field
Image and Vision Computing
Oriented Morphometry of Folds on Surfaces
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
Spatially-Variant Anisotropic Morphological Filters Driven by Gradient Fields
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Spatially-Variant Morpho-Hessian Filter: Efficient Implementation and Application
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
From image parsing to painterly rendering
ACM Transactions on Graphics (TOG)
A shearlet approach to edge analysis and detection
IEEE Transactions on Image Processing
Video dejittering by bake and shake
Image and Vision Computing
Weighted and extended total variation for image restoration and decomposition
Pattern Recognition
New Riemannian techniques for directional and tensorial image data
Pattern Recognition
Image and Video Colorization Using Vector-Valued Reproducing Kernel Hilbert Spaces
Journal of Mathematical Imaging and Vision
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Nonparametric Regression between General Riemannian Manifolds
SIAM Journal on Imaging Sciences
SIAM Journal on Imaging Sciences
Orientation-Matching Minimization for Image Denoising and Inpainting
International Journal of Computer Vision
Customizing painterly rendering styles using stroke processes
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Non-Photorealistic Animation and Rendering
Frequency domain regularization of d-dimensional structure tensor-based directional fields
Image and Vision Computing
Interpolating orientation fields: an axiomatic approach
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
An improved representation of junctions through asymmetric tensor diffusion
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
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
Mumford-Shah-Euler Flow with Sphere Constraint and Applications to Color Image Inpainting
SIAM Journal on Imaging Sciences
A systematic gradient-based method for the computation of fingerprint's orientation field
Computers and Electrical Engineering
Motion based painterly rendering
EGSR'09 Proceedings of the Twentieth Eurographics conference on Rendering
Singular points analysis in fingerprints based on topological structure and orientation field
ICB'07 Proceedings of the 2007 international conference on Advances in Biometrics
Fast regularization of matrix-valued images
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part III
A Splitting Method for Orthogonality Constrained Problems
Journal of Scientific Computing
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Diffusions are useful for image processing and computer vision because they provide a convenient way of smoothing noisy data, analyzing images at multiple scales, and enhancing discontinuities. A number of diffusions of image brightness have been defined and studied so far; they may be applied to scalar and vector-valued quantities that are naturally associated with intervals of either the real line, or other flat manifolds. Some quantities of interest in computer vision, and other areas of engineering that deal with images, are defined on curved manifolds; typical examples are orientation and hue that are defined on the circle. Generalizing brightness diffusions to orientation is not straightforward, especially in the case where a discrete implementation is sought. An example of what may go wrong is presented. A method is proposed to define diffusions of orientation-like quantities. First a definition in the continuum is discussed, then a discrete orientation diffusion is proposed. The behavior of such diffusions is explored both analytically and experimentally. It is shown how such orientation diffusions contain a nonlinearity that is reminiscent of edge-process and anisotropic diffusion. A number of open questions are proposed