Mathematics

Optimizing Spatial and Tonal Data for PDE-based Inpainting
Some recent methods for lossy signal and image compression store only a few selected pixels and fill in the missing structures by …
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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 …
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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 …
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Bregman Iteration for Correspondence Problems: A Study of Optical Flow
Bregman iterations are known to yield excellent results for denoising, deblurring and compressed sensing tasks, but so far this …
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Optimising Spatial and Tonal Data for PDE-based Inpainting
Some recent methods for lossy signal and image compression store only a few selected pixels and fill in the missing structures by …
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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 …
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Optimal interpolation data for image reconstructions
This work analyses several approaches for determining optimal sparse data sets for image reconstructions by means of linear homogeneous …
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Optimal interpolation data for image reconstructions
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 …
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Intermediate Flow Field Filtering in Energy Based Optic Flow Computations
The Euler-Lagrange framework and splitting based methods are among the most popular approaches to solve variational optic flow …
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Bregman Iteration for Optical Flow
Osher and his colleagues introduced Bregman iterations in image processing in 2005. This technique is known to yield excellent results …
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Bregman Iteration for Optical Flow