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A Graph Based Algorithm for Intersection of Subdivision Surfaces

机译:基于曲线图的细分曲面交集算法

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Computing surface intersections is a fundamental problem in geometric modeling. Any boolean operation can be seen as an intersection calculation followed by a selection of the parts necessary for building the surface of the resulting objects. A robust and efficient algorithm to compute intersection on subdivision surfaces (surfaces generated by the Loop scheme) is proposed here. This algorithm relies on the concept of a bipartite graph which allows the reduction of the number of faces intersection tests. Intersection computations are accelerated by the use of the bipartite graph and the neighborhood of intersecting faces at a given level of subdivision to deduce intersecting faces at the following levels of subdivision.
机译:计算表面交叉点是几何建模中的一个基本问题。任何布尔操作都可以被视为交叉点计算,然后选择选择构建所得物体表面所需的部件。这里提出了一种稳健和高效的算法来计算细分表面(循环方案生成的曲面)上的交叉点。该算法依赖于二分拉图的概念,其允许减少面部交叉测试的数量。通过使用二分层和在给定水平的细分级别的交叉面的相邻邻域加速了交叉计算,以在以下级别的细分级别推导相交面。

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