Turning diffusion-based image colorization into efficient color compression

P Peter, L Kaufhold, J Weickert - IEEE Transactions on Image …, 2016 - ieeexplore.ieee.org
The work of Levin et al.(2004) popularized stroke-based methods that add color to gray
value images according to a small amount of user-specified color samples. Even though …

Deep spatial and tonal data optimisation for homogeneous diffusion inpainting

P Peter, K Schrader, T Alt, J Weickert - Pattern Analysis and Applications, 2023 - Springer
Diffusion-based inpainting can reconstruct missing image areas with high quality from
sparse data, provided that their location and their values are well optimised. This is …

Evaluating the true potential of diffusion-based inpainting in a compression context

P Peter, S Hoffmann, F Nedwed, L Hoeltgen… - Signal Processing …, 2016 - Elsevier
Partial differential equations (PDEs) are able to reconstruct images accurately from a small
fraction of their image points. The inpainting capabilities of sophisticated anisotropic PDEs …

Scalable coding of depth maps with RD optimized embedding

R Mathew, D Taubman… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
Recent work on depth map compression has revealed the importance of incorporating a
description of discontinuity boundary geometry into the compression scheme. We propose a …

Compression of depth maps with segment-based homogeneous diffusion

S Hoffmann, M Mainberger, J Weickert… - Scale Space and …, 2013 - Springer
The efficient compression of depth maps is becoming more and more important. We present
a novel codec specifically suited for this task. In the encoding step we segment the image …

Gaining Insights into Denoising by Inpainting

D Gaa, V Chizhov, P Peter, J Weickert… - arxiv preprint arxiv …, 2023 - arxiv.org
The filling-in effect of diffusion processes is a powerful tool for various image analysis tasks
such as inpainting-based compression and dense optic flow computation. For noisy data, an …

Optimising spatial and tonal data for PDE-based inpainting

L Hoeltgen, M Mainberger, S Hoffmann… - Variational …, 2016 - degruyter.com
Some recent methods for lossy signal and image compression store only a few selected
pixels and fill in the missing structures by inpainting with a partial differential equation (PDE) …

Combining image space and q-space PDEs for lossless compression of diffusion MR images

I Jumakulyyev, T Schultz - Journal of Mathematical Imaging and Vision, 2023 - Springer
Diffusion MRI is a modern neuroimaging modality with a unique ability to acquire
microstructural information by measuring water self-diffusion at the voxel level. However, it …

Beyond pure quality: Progressive modes, region of interest coding, and real time video decoding for PDE-based image compression

P Peter, C Schmaltz, N Mach, M Mainberger… - Journal of Visual …, 2015 - Elsevier
Compared to transform-based image compression methods such as JPEG2000,
approaches based on partial-differential equations (PDEs) are in a proof-of-concept stage …

Compressing piecewise smooth images with the Mumford-Shah cartoon model

F Jost, P Peter, J Weickert - 2020 28th European Signal …, 2021 - ieeexplore.ieee.org
Compressing piecewise smooth images is important for many data types such as depth
maps in 3D videos or optic flow fields for motion compensation. Specialised codecs that rely …