Computer Vision, Graphics, and Image Processing
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature-oriented image enhancement using shock filters
SIAM Journal on Numerical Analysis
Multidimensional Orientation Estimation with Applications to Texture Analysis and Optical Flow
IEEE Transactions on Pattern Analysis and Machine Intelligence
Signal and image restoration using shock filters and anisotropic diffusion
SIAM Journal on Numerical Analysis
Image processing: flows under min/max curvature and mean curvature
Graphical Models and Image Processing
Handbook of Image and Video Processing
Handbook of Image and Video Processing
A Theoretical Framework for Convex Regularizers in PDE-Based Computation of Image Motion
International Journal of Computer Vision
Edge Direction Preserving Image Zooming: A Mathematical and Numerical Analysis
SIAM Journal on Numerical Analysis
Coherence-Enhancing Diffusion Filtering
International Journal of Computer Vision
Limits on Super-Resolution and How to Break Them
IEEE Transactions on Pattern Analysis and Machine Intelligence
Spatiotemporally Adaptive Estimation and Segmenation of OF-Fields
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Super-Resolution from Image Sequences - A Review
MWSCAS '98 Proceedings of the 1998 Midwest Symposium on Systems and Circuits
Electronic Document Image Resizing
ICDAR '99 Proceedings of the Fifth International Conference on Document Analysis and Recognition
Image Statistics and Anisotropic Diffusion
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric Partial Differential Equations and Image Analysis
Geometric Partial Differential Equations and Image Analysis
Efficient implementation of image interpolation as an inverse problem
Digital Signal Processing
B-spline signal processing. I. Theory
IEEE Transactions on Signal Processing
B-spline signal processing. II. Efficiency design and applications
IEEE Transactions on Signal Processing
Colour image interpolation for high resolution acquisition and display devices
IEEE Transactions on Consumer Electronics
Pattern Recognition Letters
Deterministic edge-preserving regularization in computed imaging
IEEE Transactions on Image Processing
Regularity-preserving image interpolation
IEEE Transactions on Image Processing
Least-squares image resizing using finite differences
IEEE Transactions on Image Processing
New edge-directed interpolation
IEEE Transactions on Image Processing
Linear interpolation revitalized
IEEE Transactions on Image Processing
Image up-sampling using total-variation regularization with a new observation model
IEEE Transactions on Image Processing
A Bayesian approach to image expansion for improved definition
IEEE Transactions on Image Processing
A weberized total variation regularization-based image multiplicative noise removal algorithm
EURASIP Journal on Advances in Signal Processing
Pattern Recognition Letters
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The edge and corner structures are two categories of perceptually important image characteristics, and hence, edge-and-corner preserving regularization is required for many problems in image processing. In this paper, the first novelty is to propose a new edge-and-corner preserving approach for image interpolation, based on the coupling of robust orientation diffusion, edge shock filtering, and a type of newly designed corner shock filtering. The proposed interpolation scheme is not only able to remove the staircase artifacts along the edge structures, but also able to restrain the rounding artifacts around the corner structures. The second novelty in this paper is to analyze the filtering behavior of two standard structure tensor based variational PDE (partial differential equation) approaches, following which an edge-and-corner preserving common PDE framework is proposed for different applications in image processing. Numerous experimental results confirm the effectiveness of the proposed interpolation approach, and demonstrate its superiority to other interpolation algorithms. The common PDE framework is applied to several other image processing problems, including image denoising, deringing, deblocking, inpainting, and super-resolution reconstruction.