A Laplace Transform Method for the Image In-Painting. Issue 1 (March 2015)

• Record Type: Journal Article
• Authors: Kokulan, N.; Lai, C.-H.
• Is Part Of: Journal of algorithms & computational technology. Volume 9:Issue 1(2015)
• Page Start: 95
• Page End: 104
• Publication Date: 2015-03
• Subjects: CDD in-painting -- temporal parallel methods -- time dependent problems; Computer algorithms -- Periodicals; Numerical calculations -- Periodicals; Computer algorithms; Numerical calculations; Periodicals; 518.1
• DOI: 10.1260/1748-3018.9.1.95
• Languages: English
• ISSNs: 1748-3018

Abstract

There are many image processing techniques based on partial differential equations that perform well, but they consume much computational time. It's vital that rapid and efficient ways of solving these equations are developed. Use of the Laplace transforms permits solution to the time dependent problems in a parallel environment. The solution procedure requires numerical computation of an inverse Laplace transform of which the Stehfest method was examined in the tests. We investigated the performance and efficiency of using the Laplace transform technique for the solution of a mathematical model related to image in-painting and compared the results with temporal integration.