Regularized segmentation based on nonlinear PDE models: some numerical aspects
Serena Morigi, Fiorella Sgallari · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2005
Given a 2D/3D image containing one or more objects of interest, we address the general problem of segmenting these objects providing a control over the smoothness of their boundaries. The boundary smooth is performed by a nonlinear diffusion process which simultaneously detect and segment the objects, controlling their boundary fairness while preserving the edges of the objects. We denote this process as regularized segmentation. We address the efficient computation of regularized segmentation using semi-implicit and implicit complementary volume schemes. Finally, we show segmentation results on artificial and real-word 2D images and preliminary results in 3D.