Inducing Temporal Parallel Properties into Time Dependent Problems

Kokulan, N.; Chen, Lai

doi:10.1109/dcabes.2012.50

Cited by 2 publications

(1 citation statement)

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“…The most recent approach is to use the concept of the transformation methods theory to recast time domain problems into a transformed space that does not involve the time. There are several transform methods that have been investigated such as the Laplace transform, similarity transform, Henkel transform and the Boltzmann transform [1][2][3][4][5]. The Laplace transform solution methods for time dependent problems, which transform parabolic problems into elliptic problems in the Laplace transformed space, have been considered by many authors [7][8].…”

Section: Introductionmentioning

confidence: 99%

A Laplace Transform Method for the Image In-Painting

Kokulan

Chen

2015

Journal of Algorithms & Computational Technology

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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.

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