Application of homotopy perturbation method to regularization of scalar images
Keywords
Hamilton-Jacobi formulation, homotopy perturbation method, precise integration method, image regularization, variational iteration methodAbstract
The homotopy perturbation method is implemented to solve nonlinear equations. Based on this method, a multi-step scheme is constructed for a kind of Hamilton-Jacobi formulations by assuming the homotopy parameter is a linear function of time. Using this multi-step scheme, a minimal surface regularization equation is solved, which designates a regularization process that doesn't smooth the image with the same weight in all the spatial directions. Some image denoisying examples illustrate its effectiveness and convenience.Downloads
Published
2008-06-01
How to Cite
1.
MA, Qin, XING, Ru-Yi and MEI, Shu-Li. Application of homotopy perturbation method to regularization of scalar images. Topological Methods in Nonlinear Analysis. Online. 1 June 2008. Vol. 31, no. 2, pp. 305 - 313. [Accessed 29 March 2024].
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