该算法能处理多个区域的情况和区域为单连通或复连通区域的情况；
The improved algorithm can deal with multiple regions, single connected domain and multiple connected domain.
对复连通区域填充算法进行了细致的研究，提出一种新的扫描线填充算法。
Filling algorithm of the complex connecting area is studied and a new scan line algorithm for filling area is presented.
本文把在单连通区域上成立的曲线积分与路线无关性定理推广到复连通区域。
In this paper the theorem in which a curve integral is independent of the integral path on a single connected region is generalized.
给出了场内充以线性介质时，多边界面复连通区域内的静磁场唯一性定理，并讨论了在一些特殊情况下定理的表述。
A general uniqueness theorem for a static magnetic field is presented. The statements of the theorem in some special cases are discussed.
证明了规范场不仅沿入射电子在复连通区域运动路径的积分，而且还可沿入射标量或其他旋量粒子之一在复连通区域的运动路径积分，各自都将贡献一几何相因子。
It is justified that the integral of the gauge potential along path of not only electron but also scalar particle or spinor particle will contribute a geometric phase factor.
证明了规范场不仅沿入射电子在复连通区域运动路径的积分，而且还可沿入射标量或其他旋量粒子之一在复连通区域的运动路径积分，各自都将贡献一几何相因子。
It is justified that the integral of the gauge potential along path of not only electron but also scalar particle or spinor particle will contribute a geometric phase factor.
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