Reconstruction of Corrupted Vector Fields using Radial Basis Functions
Michal Smolik, Václav Skala
Abstract
Michal Smolik, Václav Skala
Abstract
The vector fields may be results from the measurements of real flow experiments. However, during the measurements, some parts of the vector field can be measured incorrectly or even some parts of the vector field are not possible to capture due to some shading and invisibility. In this paper, we focus on the reconstruction of such corrupted vector fields. We detect the locations, where the vector field was measured incorrectly and reconstruct those locations of the vector field. For the reconstruction, we use Radial Basis Functions (RBF) approximation to fill the missing locations of the vector field as well as to correct and smooth the locations of the vector field, where it was probably measured with some error. The results of the proposed method are presented in this paper.
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The vector fields may be results from the measurements of real flow experiments. However, during the measurements, some parts of the vector field can be measured incorrectly or even some parts of the vector field are not possible to capture due to some shading and invisibility. In this paper, we focus on the reconstruction of such corrupted vector fields. We detect the locations, where the vector field was measured incorrectly and reconstruct those locations of the vector field. For the reconstruction, we use Radial Basis Functions (RBF) approximation to fill the missing locations of the vector field as well as to correct and smooth the locations of the vector field, where it was probably measured with some error. The results of the proposed method are presented in this paper.
Key concepts: Vector field, Basis (linear algebra), Radial basis function, Direction vector, Field (mathematics), Velocity vector, Euclidean vector, Basis function