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

Joint Authors

Damelin, S. B.
Hoang, N. S.

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-02-27

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Damelin, S. B.& Hoang, N. S.. 2018. On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1173463

Modern Language Association (MLA)

Damelin, S. B.& Hoang, N. S.. On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1173463

American Medical Association (AMA)

Damelin, S. B.& Hoang, N. S.. On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1173463

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1173463