Image Sharpening by Flows Based on Triple Well Potentials
Journal of Mathematical Imaging and Vision
Image magnification method using joint diffusion
Journal of Computer Science and Technology - Special issue on computer graphics and computer-aided design
Diffusion-Inspired Shrinkage Functions and Stability Results for Wavelet Denoising
International Journal of Computer Vision
Staircasing in semidiscrete stabilised inverse linear diffusion algorithms
Journal of Computational and Applied Mathematics
Super-resolution for synthetic zooming
EURASIP Journal on Applied Signal Processing
An anisotropic diffusion-based defect detection for low-contrast glass substrates
Image and Vision Computing
Image interpolation using consistent neighborhood correlations
ISTASC'05 Proceedings of the 5th WSEAS/IASME International Conference on Systems Theory and Scientific Computation
Probabilistic relaxation labelling using the Fokker-Planck equation
Pattern Recognition
Engineering-Approach Accelerates Computational Understanding of V1---V2 Neural Properties
Neural Information Processing
An extension of min/max flow framework
Image and Vision Computing
Adaptive multi-scale AMSS operator for quality detection of silks
International Journal of Computer Mathematics
Image Denoising Using Sparse Representations
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Theoretical Foundations for Discrete Forward-and-Backward Diffusion Filtering
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
The dynamics of image processing viewed as deformation of elastic sheet
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
A PDE-based approach for image fusion
ACIVS'07 Proceedings of the 9th international conference on Advanced concepts for intelligent vision systems
A novel image interpolation method based on both local and global information
ICIC'07 Proceedings of the intelligent computing 3rd international conference on Advanced intelligent computing theories and applications
Denoising algorithm for jacquard image using Beltrami manifold technique
IITA'09 Proceedings of the 3rd international conference on Intelligent information technology application
The dynamics of image denoising viewed as damped elastic deformation
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
An improved anisotropic diffusion model for detail- and edge-preserving smoothing
Pattern Recognition Letters
Distance regularized level set evolution and its application to image segmentation
IEEE Transactions on Image Processing
Anti-diffusion method for interface steepening in two-phase incompressible flow
Journal of Computational Physics
Image denoising with a constrained discrete total variation scale space
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Reducing aliasing in images: a PDE-based diffusion revisited
Pattern Recognition
Image Sharpening via Sobolev Gradient Flows
SIAM Journal on Imaging Sciences
PCM'04 Proceedings of the 5th Pacific Rim Conference on Advances in Multimedia Information Processing - Volume Part II
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Stabilised nonlinear inverse diffusion for approximating hyperbolic PDEs
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Mode Decomposition Evolution Equations
Journal of Scientific Computing
Anisotropic diffusion for image denoising based on diffusion tensors
Journal of Visual Communication and Image Representation
Novel schemes for hyperbolic PDEs using osmosis filters from visual computing
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Histology image analysis for carcinoma detection and grading
Computer Methods and Programs in Biomedicine
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
On the choice of the parameters for anisotropic diffusion in image processing
Pattern Recognition
A class of quasi-variational inequalities for adaptive image denoising and decomposition
Computational Optimization and Applications
Feature-domain super-resolution for iris recognition
Computer Vision and Image Understanding
Multiscale geometric modeling of macromolecules I: Cartesian representation
Journal of Computational Physics
Journal of Computational Methods in Sciences and Engineering
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Signal and image enhancement is considered in the context of a new type of diffusion process that simultaneously enhances, sharpens, and denoises images. The nonlinear diffusion coefficient is locally adjusted according to image features such as edges, textures, and moments. As such, it can switch the diffusion process from a forward to a backward (inverse) mode according to a given set of criteria. This results in a forward-and-backward (FAB) adaptive diffusion process that enhances features while locally denoising smoother segments of the signal or image. The proposed method, using the FAB process, is applied in a super-resolution scheme. The FAB method is further generalized for color processing via the Beltrami flow, by adaptively modifying the structure tensor that controls the nonlinear diffusion process. The proposed structure tensor is neither positive definite nor negative, and switches between these states according to image features. This results in a forward-and-backward diffusion flow where different regions of the image are either forward or backward diffused according to the local geometry within a neighborhood.