A Fast Fourier Method for Solving Helmholtz Equation for Surface Reconstruction and 3D Active Contour

In this paper a Fast Fourier transform is applied to solve Helmholtz equation which arises in 3D surface reconstruction and 3D active contour.The Helmholtz equation is obtained using minimization process for certain energy functional by applying Euler-Lagrange equation.This equation is solved on unit sphere using a particular double Fourier expansion.This Method is used to solve surface reconstruction and 3D active contour on star-shaped domains that can be genarelized to multiple connected domains. Some test examples are examined with this method.This results show the performance and effeciency of the method.