An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging

Gaussian curvature is an important geometric property of surfaces, which has been used broadly in mathematical modeling. Due to the full nonlinearity curvature, efficient numerical methods for models based on it are uncommon literature. In this article, we propose operator-splitting method a general model. our method, decouple from differential operators by introducing two matrix- and vector-valued functions. The optimization problem then converted into search steady state solution time dependent PDE system. above system well-suited discretization operator splitting, subproblems encountered at each fractional step having closed form or being solvable algorithms. proposed not sensitive choice parameters, its efficiency performances demonstrated via systematic experiments surface smoothing image denoising.