首先，我们对几何活动轮廊模型中吸引力场进行正则化，扩大目标轮廊边缘对的轮廊曲线的吸引力范围，增加轮廊曲线搜寻凹轮廊的能力。
First, we regularize the attraction force field in the geometric active contour model to extend the capture range of the object boundaries, and improve the ability of convergence to the concavities.
关于两段正则曲线在公共节点处的几何连续性的问题可以从微分几何和代数的角度考虑。
The geometric continuity of two regular curves at the connection point can be discussed from differential geometry and Algebra.
应用正则分解和弱正则分解理论，我们同样获得了该算法在加权范数意义下的几何收敛性。
By applying the theories of regular splitting and weak regular splitting of matrices to the two considered algorithms, we obtain the weighted max-norm bounds for iterations too.
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