Trainable nonlinear reaction diffusion: A flexible framework for fast and effective image restoration

Y Chen, T Pock - IEEE transactions on pattern analysis and …, 2016 - ieeexplore.ieee.org
Image restoration is a long-standing problem in low-level computer vision with many
interesting applications. We describe a flexible learning framework based on the concept of …

On learning optimized reaction diffusion processes for effective image restoration

Y Chen, W Yu, T Pock - … of the IEEE conference on computer …, 2015 - openaccess.thecvf.com
For several decades, image restoration remains an active research topic in low-level
computer vision and hence new approaches are constantly emerging. However, many …

A behavioral handwriting model for static and dynamic signature synthesis

MA Ferrer, M Diaz, C Carmona-Duarte… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
The synthetic generation of static handwritten signatures based on motor equivalence theory
has been recently proposed for biometric applications. Motor equivalence divides the …

Enhanced distance regularization for re-initialization free level set evolution with application to image segmentation

X Wang, J Shan, Y Niu, L Tan, SX Zhang - Neurocomputing, 2014 - Elsevier
In level set methods, the re-initialization remedy is widely applied to periodically replace the
degraded level set function (LSF) with a signed distance function to maintain its regularity …

An edge-adapting Laplacian kernel for nonlinear diffusion filters

MR Hajiaboli, MO Ahmad… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
In this paper, first, a new Laplacian kernel is developed to integrate into it the anisotropic
behavior to control the process of forward diffusion in horizontal and vertical directions. It is …

Image sharpening via Sobolev gradient flows

J Calder, A Mansouri, A Yezzi - SIAM Journal on Imaging Sciences, 2010 - SIAM
Motivated by some recent work in active contour applications, we study the use of Sobolev
gradients for PDE-based image diffusion and sharpening. We begin by studying, for the …

A discrete theory and efficient algorithms for forward-and-backward diffusion filtering

M Welk, J Weickert, G Gilboa - Journal of Mathematical Imaging and Vision, 2018 - Springer
Image enhancement with forward-and-backward (FAB) diffusion lacks a sound theory and is
numerically very challenging due to its diffusivities that are negative within a certain gradient …

On Backward p(x)-Parabolic Equations for Image Enhancement

G Baravdish, O Svensson, F Åström - … Functional Analysis and …, 2015 - Taylor & Francis
In this study, we investigate the backward p (x)-parabolic equation as a new methodology to
enhance images. We propose a novel iterative regularization procedure for the backward p …

Enhanced total variation minimization for stable image reconstruction

C An, HN Wu, X Yuan - Inverse Problems, 2023 - iopscience.iop.org
The total variation (TV) regularization has phenomenally boosted various variational models
for image processing tasks. We propose to combine the backward diffusion process in the …

Novel schemes for hyperbolic pdes using osmosis filters from visual computing

K Hagenburg, M Breuß, J Weickert, O Vogel - … Gedi, Israel, May 29–June 2 …, 2012 - Springer
Recently a new class of generalised diffusion filters called osmosis filters has been
proposed. Osmosis models are useful for a variety of tasks in visual computing. In this paper …