用于三角网格上的拓扑保持主动轮廓模型

Topology keeping active contour model for triangular meshes

提出了一种能够保持拓扑结构的主动轮廓模型,并将其用于优化三角网格上的分段线性曲线。该模型直接在三角网格上移动,不需要参数化,调整过程易于保持三角网格的数据结构并减小计算量,建立的主动轮廓模型数据结构能严格保持曲线间的拓扑关系,建立的曲线能量满足曲线光顺性及模型特征对曲线调整的要求,并根据曲线的能量反复对其进行调整,使位于模型凹凸特征区域的曲线能够更加符合模型的凹凸特征,而位于非凹凸特征区域的曲线能更加光顺。

A topology-keeping active contour model was proposed and applied to optimize the piecewise linear curve in triangular meshes. The model is directly moved on the triangular meshes and no parameterization is needed, therefore, the data structure of the meshes can be easily retained and the computation cost can be reduced in the adjusting process. The topological relationship between curves can be remained unchanged by the data structure. Based on curve energy, the proposed active contour model can be applied for curves optimization in terms of curve smoothing and curve adjustment. Experiment results show that the proposed model can capture the convex/concave feature of the curves and improve the smoothness of the curves.