Ridge-valley lines on meshes via implicit surface fitting
Ridge-valley lines on meshes via implicit surface fitting
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DOI：
10.1145/1015706.1015768
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发表时间：
2004-08
期刊：
影响因子：
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通讯作者：
Y. Ohtake;A. Belyaev;H. Seidel
中科院分区：
文献类型：
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作者：
Y. Ohtake;A. Belyaev;H. Seidel
我们提出了一种简单而有效的方法来检测由密集三角形网格近似的形状上由一阶和二阶曲率导数定义的与视点和尺度无关的脊谷线。将多层隐式曲面拟合和有限差分近似相结合，实现了高阶曲面导数的高质量估计。我们证明了脊线和谷线是几何上和感知上显著的表面特征，因此可以潜在地用于形状识别、编码和质量评估目的。
We propose a simple and effective method for detecting view-and scale-independent ridge-valley lines defined via first- and second-order curvature derivatives on shapes approximated by dense triangle meshes. A high-quality estimation of high-order surface derivatives is achieved by combining multi-level implicit surface fitting and finite difference approximations. We demonstrate that the ridges and valleys are geometrically and perceptually salient surface features, and, therefore, can be potentially used for shape recognition, coding, and quality evaluation purposes.