Ridge-Valley Lines Smoothing and Optimizing

Ridge-Valley Lines Smoothing and Optimizing
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岭谷线平滑和优化

DOI:
10.1007/11941354_51
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发表时间:
2006-11
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在检测三维网格模型上的脊谷线时,由于曲率和曲率导数的估计对不需要的表面噪声敏感,因此通常会产生弯曲和噪声的结果。我们提出了两种算法,以获得光滑和无噪声的脊谷线。首先,我们应用一个迭代过程的脊和谷顶点和他们的前一个和下一个邻居连接的特征线,这导致光滑的线。其次,我们提出了一种基于图论模型的噪声与有意义特征线的区分算法。每一条独立的特征线被看作是一个无向加权图,称为特征图.通过优化每个特征图的最小生成树,可以合理地去除大部分噪声,保留有意义的特征线。
When detecting ridge-valley lines on 3D mesh model, estimation of the curvature and curvature derivatives may often yields to squiggly and noisy result, because the estimation is sensitive against unwanted surface noises. We present two algorithms to obtain smooth and noiseless ridge-valley lines. First, we apply an iterative procedure on ridge and valley vertices and their previous and next neighbors on connected feature lines, which leads to smooth lines. Secondly, we propose an algorithm to distinguish noises from meaningful feature lines based on graph theory model. Each separate feature line is considered as an undirected weighted graph which is called asFeature Graph. We can reasonably get rid of most noises and preserve meaningful feature lines through optimizing the minimal spanning tree of each feature graph.
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