On surface completion and image inpainting by biharmonic functions: Numerical aspects

On surface completion and image inpainting by biharmonic functions: Numerical aspects

Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the functions on the boundary. Finite difference sc...

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Veröffentlicht in:arXiv.org 2018-01
Hauptverfasser: Damelin, S B, Hoang, N S
Format: Artikel
Sprache:eng
Schlagworte:
Finite difference method
Harmonic functions
Mathematical analysis
Mathematics - Analysis of PDEs
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Beschreibung
Zusammenfassung:Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the functions on the boundary. Finite difference schemes for solving these harmonic functions are discussed in detail.
ISSN:2331-8422
DOI:10.48550/arxiv.1707.06567