平面曲线的基于区域的中轴线
Area-Based Medial Axis of Planar Curves.
作者信息
Niethammer Marc, Betelu Santiago, Sapiro Guillermo, Tannenbaum Allen, Giblin Peter J
机构信息
Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0250, USA.
出版信息
Int J Comput Vis. 2004 Dec;60(3):203-224. doi: 10.1023/B:VISI.0000036835.28674.d0.
A new definition of affine invariant medial axis of planar closed curves is introduced. A point belongs to the affine medial axis if and only if it is equidistant from at least two points of the curve, with the distance being a minimum and given by the between the curve and its corresponding chords. The medial axis is robust, eliminating the need for curve denoising. In a dynamical interpretation of this affine medial axis, the medial axis points are the affine shock positions of the affine erosion of the curve. We propose a simple method to compute the medial axis and give examples. We also demonstrate how to use this method to detect affine skew symmetry in real images.
引入了平面封闭曲线仿射不变中轴的新定义。一个点属于仿射中轴，当且仅当它到曲线上至少两个点的距离相等，该距离为最小值，且由曲线与其相应弦之间的[此处原文缺失相关内容]给出。中轴具有鲁棒性，无需进行曲线去噪。在对该仿射中轴的动态解释中，中轴点是曲线仿射腐蚀的仿射冲击位置。我们提出了一种计算中轴的简单方法并给出了示例。我们还展示了如何使用该方法在真实图像中检测仿射斜对称性。
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