A Point Sets Smoothing Algorithm Using Curvature Flow

We present a method for anisotropic fairing of point sets, which based on the covariance analysis and the efficiently constructed curvature. We use principal curvatures to detect features such as edges. Anisotropic curvature flow allows prominent surface features and other details of the objects to be treated in different ways. It is able to retain and even enhance important features such as edges and corners on the surface. We define such a diffusion flow which allows the point moving along the normal with a speed equal to the curvature. Since the point is moved along the normal direction, the proposed curvature flow will not introduce undesirable points drifting over the surface.