Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
A multigrid tutorial (2nd ed.)
A multigrid tutorial (2nd ed.)
Physically Consistent Variational Denoising of Image Fluid Flow Estimates
Proceedings of the 30th DAGM symposium on Pattern Recognition
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Three-dimensional high-speed image measurements of fluid flows become state-of-the-art velocimetry techniques in experimental fluid mechanics and related areas of industry. In this paper, we consider data produced by an established technique, sparse Particle Tracking Velocimetry (PTV), in terms of small set of velocity estimates irregularly distributed over a 3D volume, and study a variational approach to super-resolution in a physically consistent way. The output consists of a high-resolution vector field on the voxel grid where additionally the typical quantization noise of the input data can be removed. Numerical experiments validate our approach with 3D data from turbulent flows.