Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
Generalized Spatio-Chromatic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of Computational Physics
Colorization using optimization
ACM SIGGRAPH 2004 Papers
Numerical methods for minimization problems constrained to S1 and S2
Journal of Computational Physics
Hue geometry and horizontal connections
Neural Networks - 2004 Special issue Vision and brain
Real-Time Imaging - Special issue on multi-dimensional image processing
Natural color image enhancement and evaluation algorithm based on human visual system
Computer Vision and Image Understanding
A New Diffusion-Based Variational Model for Image Denoising and Segmentation
Journal of Mathematical Imaging and Vision
A Finite Markov Random Field approach to fast edge-preserving image recovery
Image and Vision Computing
Graph regularization for color image processing
Computer Vision and Image Understanding
Color Photo Denoising Via Hue, Saturation and Intensity Diffusion
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Image Filtering Driven by Level Curves
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Quaternion-Based Color Image Smoothing Using a Spatially Varying Kernel
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Color image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution
IEEE Transactions on Image Processing
Video dejittering by bake and shake
Image and Vision Computing
Image and Video Colorization Using Vector-Valued Reproducing Kernel Hilbert Spaces
Journal of Mathematical Imaging and Vision
A Quaternion Framework for Color Image Smoothing and Segmentation
International Journal of Computer Vision
Application of the Topological Gradient Method to Color Image Restoration
SIAM Journal on Imaging Sciences
Color persistent anisotropic diffusion of images
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
High dynamic range optimal fuzzy color image enhancement using Artificial Ant Colony System
Applied Soft Computing
Wireless capsule endoscopy images enhancement via adaptive contrast diffusion
Journal of Visual Communication and Image Representation
Mumford-Shah-Euler Flow with Sphere Constraint and Applications to Color Image Inpainting
SIAM Journal on Imaging Sciences
Lagrangian multipliers and split Bregman methods for minimization problems constrained on Sn-1
Journal of Visual Communication and Image Representation
Parameterless discrete regularization on graphs for color image filtering
ICIAR'07 Proceedings of the 4th international conference on Image Analysis and Recognition
Journal of Visual Communication and Image Representation
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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A novel approach for color image denoising is proposed in this paper. The algorithm is based on separating the color data into chromaticity and brightness, and then processing each one of these components with partial differential equations or diffusion flows. In the proposed algorithm, each color pixel is considered as an n-dimensional vector. The vectors' direction, a unit vector, gives the chromaticity, while the magnitude represents the pixel brightness. The chromaticity is processed with a system of coupled diffusion equations adapted from the theory of harmonic maps in liquid crystals. This theory deals with the regularization of vectorial data, while satisfying the intrinsic unit norm constraint of directional data such as chromaticity. Both isotropic and anisotropic diffusion flows are presented for this n-dimensional chromaticity diffusion flow. The brightness is processed by a scalar median filter or any of the popular and well established anisotropic diffusion flows for scalar image enhancement. We present the underlying theory, a number of examples, and briefly compare with the current literature