On surface completion and image inpainting by biharmonic functions: Numerical aspects
Analysis of PDEs
2018-09-25 v3
Abstract
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.
Cite
@article{arxiv.1707.06567,
title = {On surface completion and image inpainting by biharmonic functions: Numerical aspects},
author = {S. B. Damelin and N. S. Hoang},
journal= {arXiv preprint arXiv:1707.06567},
year = {2018}
}
Comments
Revised 21 July, 2017. Revised 12 January, 2018. To appear in International Journal of Mathematics and Mathematical Sciences