Title :
A Laplace transform method for the image in-painting
Author :
Kokulan, N. ; Lai, Cara H.
Author_Institution :
Sch. of Comput. & Math. Sci., Univ. of Greenwich, London, UK
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.
Keywords :
Laplace transforms; image restoration; inverse transforms; Stehfest method; image in-painting; image processing; image restoration; inverse Laplace transform; mathematical model; numerical computation; parallel environment; time dependent problems; Computational modeling; Equations; Laplace equations; Mathematical model; Numerical models; Time-domain analysis; Transforms; CDD in-painting; temporal parallel methods; time dependent problems;
Conference_Titel :
Distributed Computing and Applications to Business, Engineering & Science (DCABES), 2013 12th International Symposium on
Conference_Location :
Kingston upon Thames, Surrey, UK
DOI :
10.1109/DCABES.2013.51
