Imaging and image processing in porous media research
Three-dimensional imaging and image processing has become an important part for
investigations of fluid distribution and flow in porous media. We describe two methods of …
investigations of fluid distribution and flow in porous media. We describe two methods of …
Theoretical foundations for discrete forward-and-backward diffusion filtering
Abstract Forward-and-backward (FAB) diffusion is a method for sharpening blurry images
(Gilboa et al. 2002). It combines forward diffusion with a positive diffusivity and backward …
(Gilboa et al. 2002). It combines forward diffusion with a positive diffusivity and backward …
PDE evolutions for M-smoothers in one, two, and three dimensions
Local M-smoothers are interesting and important signal and image processing techniques
with many connections to other methods. In our paper, we derive a family of partial …
with many connections to other methods. In our paper, we derive a family of partial …
A discrete theory and efficient algorithms for forward-and-backward diffusion filtering
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 …
numerically very challenging due to its diffusivities that are negative within a certain gradient …
Regularised Diffusion–Shock Inpainting
K Schaefer, J Weickert - Journal of Mathematical Imaging and Vision, 2024 - Springer
We introduce regularised diffusion–shock (RDS) inpainting as a modification of diffusion–
shock inpainting from our SSVM 2023 conference paper. RDS inpainting combines two …
shock inpainting from our SSVM 2023 conference paper. RDS inpainting combines two …
Enhanced total variation minimization for stable image reconstruction
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 …
for image processing tasks. We propose to combine the backward diffusion process in the …
Diffusion–Shock Inpainting
K Schaefer, J Weickert - International Conference on Scale Space and …, 2023 - Springer
We propose diffusion–shock (DS) inpainting as a hitherto unexplored integrodifferential
equation for filling in missing structures in images. It combines two carefully chosen …
equation for filling in missing structures in images. It combines two carefully chosen …
[PDF][PDF] Implementation of shock filter for digital X-ray image processing
LR Dung, ST Sun, YY Wu - Journal of Computer and …, 2014 - pdfs.semanticscholar.org
X-ray image might be corrupted by noise or blurring because of signal transmission or the
bad X-ray lens. This paper presents a two-stage shock filter based on Partial Differential …
bad X-ray lens. This paper presents a two-stage shock filter based on Partial Differential …
Conditional toggle map**s: principles and applications
We study a class of mathematical morphology filters to operate conditionally according to a
set of pixels marked by a binary mask. The main contribution of this paper is to provide a …
set of pixels marked by a binary mask. The main contribution of this paper is to provide a …
[HTML][HTML] Staircasing in semidiscrete stabilised inverse linear diffusion algorithms
We consider a semidiscrete model problem for the approximation of stabilised inverse linear
diffusion processes. The work is motivated by an important observation on fully discrete …
diffusion processes. The work is motivated by an important observation on fully discrete …