Multi-scale description of space curves and three-dimensional objects
Multi-scale description of space curves and three-dimensional objects
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空间曲线和三维物体的多尺度描述
DOI：
10.1109/cvpr.1988.196252
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
F. Mokhtarian
中科院分区：
文献类型：
--
作者：
F. Mokhtarian
作者解决了表示三维或空间曲线的形状的问题。这个问题很重要，因为空间曲线可以用来有效和经济地模拟许多三维物体的形状。简要回顾了几种适用于二维物体的形状表示方法，并讨论了它们的不足之处。其次，解释了空间曲线的曲率和挠率的概念。弧长参数化和高斯卷积用于计算不同细节层次的空间曲线上的曲率和挠率。将曲线在连续尺度上的曲率和挠率的信息组合在一起，以产生曲线的曲率和挠率的尺度空间图像。这些图像在曲线的旋转、均匀缩放和平移下本质上是不变的，并用作曲线的表示。文中展示了该技术在常见三维物体上的应用。然后，根据任何形状表示方法都应该理想地满足的几个标准来评估所提出的表示。
The authors address the problem of representing the shape of three-dimensional or space curves. This problem is important since space curves can be used to model the shape of many three dimensional objects effectively and economically. A number of shape representation methods that operate on two-dimensional objects and can be extended to apply to space curves are reviewed briefly and their shortcomings discussed. Next, the concepts of curvature and torsion of a space curve are explained. Arc-length parametrization followed by Gaussian convolution is used to compute curvature and torsion on a space curve at varying levels of detail. Information of both the curvature and torsion of the curve over a continuum of scales are combined to produce the curvature and torsion scale-space images of the curve. These images are essentially invariant under rotation, uniform scaling, and translation of the curve and are used as a representation for it. The application of this technique to a common three-dimensional object is demonstrated. The proposed representation is then evaluated according to several criteria that any shape representation method should ideally satisfy.<<ETX>>
影响因子：
22.7
作者：
DUDA, RO;HART, PE
通讯作者：
HART, PE