Multidimensional Edge Detection by Hypersurface Fitting
Multidimensional Edge Detection by Hypersurface Fitting
复制标题
通过超曲面拟合进行多维边缘检测
DOI：
10.1109/tpami.1981.4767134
复制
发表时间：
1981
影响因子：
23.6
通讯作者：
A. Rosenfeld
中科院分区：
文献类型：
--
作者：
D. Morgenthaler;A. Rosenfeld
定义用于在数字图像中检测边缘的运算符的一种方法是拟合曲面(平面、二次曲面等)到每个图像点的邻域，并将表面梯度的大小作为该点图像中灰度级变化率的估计。该方法被扩展为通过将超曲面局部适配到数据来定义可应用于多维数据阵列的边缘检测器--例如，通过从投影重建获得的三维阵列。对于1次或2次超曲面，所得到的算符与二维情况下的算符非常相似。文中给出了一些三维算符与二维算符的比较实例。
One way to define operators for detecting edges in digital images is to fit a surface (plane, quadric,...) to a neighborhood of each image point and take the magnitude of the gradient of the surface as an estimate of the rate of change of gray level in the image at that point. This approach is extended to define edge detectors applicable to multidimensional arrays of data-e.g., three-dimensional arrays obtained by reconstruction from projections-by locally fitting hypersurfaces to the data. The resulting operators, for hypersurfaces of degree 1 or 2, are closely analogous to those in the two-dimensional case. Examples comparing some of these three-dimensional operators with their twodimensional counterparts are given.