A Fast Spectral Method for Solving 3D Active Contour and Surface Reconstruction Problems for Multiple Connected Domains

Elliptic partial differential equations have various applications in science and engineering. In particular they can be applied to solve surface reconstruction and 3D active contour problems. In this paper a fast spectral method combined with minimization of a functional is presented to solve surface reconstruction for non-star shaped and multiple connected domains, that can be utilized in medical imaging or other 3D imaging process. The results demonstrate a good performance and efficiency of the method for star-shaped domains and also multiple connected domains.