Laurent Hoeltgen
Laurent Hoeltgen
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Approximation
The Abstract Interpolation Problem
We present the abstract interpolation problem and show how it is related to common interpolation and approximation tasks.
2020-10-21
4 min read
Mathematics
Optimising Data for PDE-Based Inpainting and Compression
Oral presentation
2016-11-13
Project
Slides
Evaluating the True Potential of Diffusion Based Inpainting in a Compression Context
Partial differential equations (PDEs) are able to reconstruct images accurately from a small fraction of their image points. The …
Pascal Peter
,
Sebastian Hoffmann
,
Frank Nedwed
,
Laurent Hoeltgen
,
Joachim Weickert
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DOI
High Quality Image Compression
Oral presentation
2016-05-24
Project
Slides
From Optimised Inpainting with Linear PDEs Towards Competitive Image Compression Codecs
For inpainting with linear partial differential equations (PDEs) such as homogeneous or biharmonic diffusion, sophisticated data …
Pascal Peter
,
Sebastian Hoffmann
,
Frank Nedwed
,
Laurent Hoeltgen
,
Joachim Weickert
Cite
Project
DOI
Why does non-binary mask optimisation work for diffusion-based image compression?
Finding optimal data for inpainting is a key problem for image-compression with partial differential equations. Not only the location …
Laurent Hoeltgen
,
Joachim Weickert
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DOI
Why does non-binary mask optimisation work for diffusion-based image compression?
Oral presentation
2015-01-13
Project
Slides
An Optimal Control Approach to Find Sparse Data for Laplace Interpolation
Finding optimal data for inpainting is a key problem in the context of partial differential equation-based image compression. We …
Laurent Hoeltgen
,
Simon Setzer
,
Joachim Weickert
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Project
DOI
Continuous Spatial and Tonal Point Optimisation for Interpolation and Approximation of Convex Signals with Homogeneous Diffusion
Oral presentation
2013-03-18
Project
Slides
Continuous Spatial and Tonal Point Optimisation for Approximating Convex Signals with Homogeneous Diffusion
Poster presentation
2011-07-04
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