Feature Keypoint-Based Image Compression Technique Using a Well-Posed Nonlinear Fourth-Order PDE-Based Model

Image Restoration Using A PDE-Based Approach

 Image restoration is an essential preprocessing step for many image analysis applications. In any image restoration techniques, keeping structure of the image unchanged is very important. Such structure in an image often corresponds to the region discontinuities and edges. The techniques based on partial differential equations, such as the heat equations, are receiving considerable attention i...

Pde-based Restoration Model Using Nonlinear Second and Fourth Order Diffusions

In this article we propose a novel image denoising and restoration system based on a combination of second and fourth order partial differential equations. We consider a variational scheme that minimizes a energy functional composed of functions of gradient magnitude and of absolute value of Laplacian of image intensity. Then the corresponding Euler-Lagrange equation is computed, a PDE model ba...

Compound PDE-Based Image Restoration Algorithm Using Second-Order and Fourth-Order Diffusions

Towards PDE-Based Image Compression

While methods based on partial differential equations (PDEs) and variational techniques are powerful tools for denoising and inpainting digital images, their use for image compression was mainly focussing on preor postprocessing so far. In our paper we investigate their potential within the decoding step. We start with the observation that edge-enhancing diffusion (EED), an anisotropic nonlinea...

Second-order Nonlinear PDE-based Image Restoration Scheme

An effective nonlinear second-order PDE image denoising and restoration model is described in this paper. The proposed anisotropic diffusion-based filtering scheme is based on some novel versions of the edge-stopping function and the conductance parameter. A consistent numerical approximation scheme is constructed for this continuous model. Our PDE-based smoothing technique provides an efficien...