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On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects

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  • S. B. Damelin
  • N. S. Hoang

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.

Suggested Citation

  • S. B. Damelin & N. S. Hoang, 2018. "On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-8, February.
    • Handle: RePEc:hin:jijmms:3950312
    DOI: 10.1155/2018/3950312
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    Cited by:

    1. Saugat Kandel & Tao Zhou & Anakha V. Babu & Zichao Di & Xinxin Li & Xuedan Ma & Martin Holt & Antonino Miceli & Charudatta Phatak & Mathew J. Cherukara, 2023. "Demonstration of an AI-driven workflow for autonomous high-resolution scanning microscopy," Nature Communications, Nature, vol. 14(1), pages 1-9, December.

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