Projection-based interpolation algorithm over two-dimensional grids with triangular elements
Jakub Ryzner1, Anna Paszyńska2
1Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Krakow, Poland.
2Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. St. Łojasiewicza 11, 30-348 Krakow, Poland.
DOI:
https://doi.org/10.7494/cmms.2019.1.0629
Abstract:
In this paper, we employ the projection-based interpolation algorithm for approximation of two-dimensional bitmaps resulting from photographs of multi-phase material samples. The algorithm uses h-adaptive two-dimensional finite element grid with triangular elements. It results in a continuous approximation of material data with Lagrange polynomial, which makes them more suitable for finite element method computations.
Cite as:
Ryzner, J., & Paszyńska, A. (2019). Projection-based interpolation algorithm over two-dimensional grids with triangular elements. Computer Methods in Materials Science, 19(1), 29-39. https://doi.org/10.7494/cmms.2019.1.0629
Article (PDF):
Keywords:
Projection-based interpolation, Material science simulations, Continuous material data representation
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