Application of homotopy perturbation method to regularization of scalar images

Qin Ma, Ru-Yi Xing, Shu-Li Mei


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.


Hamilton-Jacobi formulation; homotopy perturbation method; precise integration method; image regularization; variational iteration method

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