2 papers
math.NA2024
An Adaptive Finite Difference Method for Total Variation Minimization
Thomas Jacumin, Andreas Langer
In this paper, we propose an adaptive finite difference scheme in order to numerically solve total variation type problems for image processing tasks. The automatic generation of t…
math.AP2024
Adjoint Method in PDE-based Image Compression
Zakaria Belhachmi, Thomas Jacumin
We consider a shape optimization based method for finding the best interpolation data in the compression of images with noise. The aim is to reconstruct missing regions by means of…