保特征散乱数据的曲面重构——变分水平集方法

Feature-preserving Surface Reconstruction from Scattered Points——Variational Level-set Method

研究了保特征散乱数据的曲面重构问题。根据主曲率的差可以刻画图像的棱角特征这一特性,提出了一种新的能量模型。通过变分法,能量得到了新的微分方程,并利用有限元方法求解。试验结果表明,该方法有良好的重构效果,并很好地保持了棱角特征。

The aim of this paper is to reconstruct surface from scattered points while preserving or enhancing sharp features.This goal is achieved by establishing a new energy model according to the difference of the principal curvatures.We derived a nonlinear partial differential equation and solved it using the finite-element method for the unknown level set function.Numerical experiments show that the proposed method is effective.