Detecting Codimension--Two Objects in an Image with Ginzburg-Landau Models
International Journal of Computer Vision
Natural color image enhancement and evaluation algorithm based on human visual system
Computer Vision and Image Understanding
The Uncertainty Principle: Group Theoretic Approach, Possible Minimizers and Scale-Space Properties
Journal of Mathematical Imaging and Vision
Total variation minimizing blind deconvolution with shock filter reference
Image and Vision Computing
Noise reduction and edge detection via kernel anisotropic diffusion
Pattern Recognition Letters
Graph spectral image smoothing using the heat kernel
Pattern Recognition
Shock filter coupled to curvature diffusion for image denoising and sharpening
Image and Vision Computing
A diffusion method for image filtering and sharpening
Programming and Computing Software
Geometry-Driven Nonlinear Equation with an Accelerating Coupled Scheme for Image Enhancement
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Color Photo Denoising Via Hue, Saturation and Intensity Diffusion
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
International Journal of 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
A solution to the deficiencies of image enhancement
Signal Processing
Complex Diffusion on Scalar and Vector Valued Image Graphs
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
A Schrödinger Wave Equation Approach to the Eikonal Equation: Application to Image Analysis
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Simultaneous MAP-based video denoising and rate-distortion optimized video encoding
IEEE Transactions on Circuits and Systems for Video Technology
Adaptive total variation denoising based on difference curvature
Image and Vision Computing
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
The dynamics of image processing viewed as deformation of elastic sheet
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
Contourlet transform based complex diffusion for ultrasonic speckle reduction
BioMED '08 Proceedings of the Sixth IASTED International Conference on Biomedical Engineering
Ramp preserving Perona-Malik model
Signal Processing
Graph spectral image smoothing
GbRPR'07 Proceedings of the 6th IAPR-TC-15 international conference on Graph-based representations in pattern recognition
Ultrasound speckle reduction by a SUSAN-controlled anisotropic diffusion method
Pattern Recognition
Image processing using 3-state cellular automata
Computer Vision and Image Understanding
Complex diffusion on image graphs
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
The dynamics of image denoising viewed as damped elastic deformation
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Quasi-random nonlinear scale space
Pattern Recognition Letters
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Homogeneity similarity based image denoising
Pattern Recognition
Generalized probabilistic scale space for image restoration
IEEE Transactions on Image Processing - Special section on distributed camera networks: sensing, processing, communication, and implementation
Level set diffusion for MRE image enhancement
MIAR'10 Proceedings of the 5th international conference on Medical imaging and augmented reality
Proceedings of the 2011 International Conference on Communication, Computing & Security
Morphological image enhancement procedure design by using genetic programming
Proceedings of the 13th annual conference on Genetic and evolutionary computation
Reducing aliasing in images: a PDE-based diffusion revisited
Pattern Recognition
Non-local adaptive structure tensors
Image and Vision Computing
Wireless capsule endoscopy images enhancement via adaptive contrast diffusion
Journal of Visual Communication and Image Representation
Image diffusion using saliency bilateral filter
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
A geometric contour framework with vector field support
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part II
Region-based shock-diffusion equation for adaptive image enhancement
IWICPAS'06 Proceedings of the 2006 Advances in Machine Vision, Image Processing, and Pattern Analysis international conference on Intelligent Computing in Pattern Analysis/Synthesis
Anisotropic diffusion for image denoising based on diffusion tensors
Journal of Visual Communication and Image Representation
Speckle reduction in images with WEAD and WECD
ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
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
An adaptive wavelet viscosity method for systems of hyperbolic conservation laws
Journal of Computational and Applied Mathematics
Image denoising algorithm based on edge-preserving self-snake model and wavelet-based PDE
ICIC'13 Proceedings of the 9th international conference on Intelligent Computing Theories
Robust blind motion deblurring using near-infrared flash image
Journal of Visual Communication and Image Representation
Despeckling low SNR, low contrast ultrasound images via anisotropic level set diffusion
Multidimensional Systems and Signal Processing
A Combined First and Second Order Variational Approach for Image Reconstruction
Journal of Mathematical Imaging and Vision
Conditional Toggle Mappings: Principles and Applications
Journal of Mathematical Imaging and Vision
Hi-index | 0.14 |
The linear and nonlinear scale spaces, generated by the inherently real-valued diffusion equation, are generalized to complex diffusion processes, by incorporating the free Schrodinger equation. A fundamental solution for the linear case of the complex diffusion equation is developed. Analysis of its behavior shows that the generalized diffusion process combines properties of both forward and inverse diffusion. We prove that the imaginary part is a smoothed second derivative, scaled by time, when the complex diffusion coefficient approaches the real axis. Based on this observation, we develop two examples of nonlinear complex processes, useful in image processing: a regularized shock filter for image enhancement and a ramp preserving denoising process.