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Identifying faces in a 2D line drawing representing a manifold object

机译:识别2D线图中代表面对象的面

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A straightforward way to illustrate a 3D model is to use a line drawing. Faces in a 2D line drawing provide important information for reconstructing its 3D geometry. Manifold objects belong to a class of common solids and most solid systems are based on manifold geometry. In this paper, a new method is proposed for finding faces from single 2D line drawings representing manifolds. The face identification is formulated based on a property of manifolds: each edge of a manifold is shared exactly by two faces. The two main steps in our method are (1) searching for cycles from a line drawing and (2) searching for faces from the cycles. In order to speed up the face identification procedure, a number of properties, most of which relate to planar manifold geometry in line drawings, are presented to identify most of the cycles that are or are not real faces in a drawing, thus reducing the number of unknown cycles in the second searching. Schemes to deal with manifolds with curved faces and manifolds each represented by two or more disjoint graphs are also proposed. The experimental results show that our method can handle manifolds previous methods can handle, as well as those they cannot.
机译:说明3D模型的一种直接方法是使用线条图。 2D线图中的面为重建其3D几何形状提供了重要信息。流形对象属于一类普通实体,大多数实体系统都基于流形几何。在本文中,提出了一种新方法,用于从表示歧管的单个2D线图中查找面。人脸识别是基于流形的属性制定的:流形的每个边缘都由两个人脸精确共享。我们方法的两个主要步骤是(1)从线条图中搜索循环和(2)从循环中搜索面。为了加快人脸识别过程,提出了许多属性,其中大部分与线图中的平面歧管几何有关,可以识别大多数周期,这些周期是工程图中的真实面还是非真实面,从而减少了数量第二次搜索中的未知循环数。还提出了处理具有弯曲面的歧管和分别由两个或更多个不相交的图表示的歧管的方案。实验结果表明,我们的方法可以处理以前的方法可以处理的歧管,以及不能处理的方法。

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