The Cauchy Problem for the Laplace Equation and Application to Image Inpainting
Joint Authors
Jaafar Belaid, Lamia
al-Malki, Nawal
Ben Abda, Amel
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The moment approach to solve the Cauchy problems is investigated.
First, we consider the Cauchy problem for the Laplace equation, and we present a moment method for solving it in the case of a flat boundary.
Second, we consider the reciprocity gap concept used to solve the problem of crack detection, as a stopping criterion and we study the case of noise data.
Finally, we propose an application to the Cauchy problem for the Laplace equation, for the inpainting problem.
Some numerical results showing the efficiency of the method proposed are also given.
American Psychological Association (APA)
Jaafar Belaid, Lamia& Ben Abda, Amel& al-Malki, Nawal. 2011. The Cauchy Problem for the Laplace Equation and Application to Image Inpainting. ISRN Mathematical Analysis،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-449845
Modern Language Association (MLA)
Jaafar Belaid, Lamia…[et al.]. The Cauchy Problem for the Laplace Equation and Application to Image Inpainting. ISRN Mathematical Analysis No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-449845
American Medical Association (AMA)
Jaafar Belaid, Lamia& Ben Abda, Amel& al-Malki, Nawal. The Cauchy Problem for the Laplace Equation and Application to Image Inpainting. ISRN Mathematical Analysis. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-449845
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449845
