The Stability of the Apparent Contour of an Orientable 2-Manifold
The Stability of the Apparent Contour of an Orientable 2-Manifold
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可定向2流形表观轮廓的稳定性
DOI：
10.1007/978-3-642-15014-2_3
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发表时间：
2011
影响因子：
4.1
通讯作者：
A. Patel
中科院分区：
文献类型：
--
作者：
H. Edelsbrunner;D. Morozov;A. Patel
从2-流形到平面的光滑映射f：？→ℝ2的(视)轮廓是临界值的集合，即两个分量函数的梯度线性相关的点的像。假设？紧凑且可定向，并测量与冲刷距离的差异，证明了轮廓是稳定的。
The (apparent) contour of a smooth mapping from a 2-manifold to the plane, f :?→ℝ2, is the set of critical values, that is, the image of the points at which the gradients of the two component functions are linearly dependent. Assuming ? is compact and orientable and measuring difference with the erosion distance, we prove that the contour is stable.