Iterative Design of Concentration Factors for Jump Detection
Iterative Design of Concentration Factors for Jump Detection
复制标题
用于跳跃检测的集中因子的迭代设计
DOI：
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发表时间：
2011
影响因子：
2.5
通讯作者：
D. Cochran
中科院分区：
文献类型：
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作者：
A. Viswanathan;Anne Gelb;D. Cochran
提出了一种边缘检测的集中方法，即由分段解析函数的前几个傅里叶级数系数计算跳跃间断的位置和值。由此产生的跳跃近似的准确性和特征取决于傅立叶空间的“过滤器”的因素被称为浓度因子。在本文中，我们提供了一个灵活的，迭代的框架，这些因素的设计。以前设计的浓度因子被证明是在这个新的框架内的具体问题配方的解决方案。我们还提供了适用于缺失光谱带数据的浓度因子设计的程序的样本配方。几个说明性的例子被用来证明该方法的能力。
The concentration method of edge detection was developed to compute the locations and values of jump discontinuities in a piecewise-analytic function from its first few Fourier series coefficients. The accuracy and characteristic features of the resulting jump approximation depend on Fourier space “filter” factors known as concentration factors. In this paper, we provide a flexible, iterative framework for the design of these factors. Previously devised concentration factors are shown to be the solutions of specific problem formulations within this new framework. We also provide sample formulations of the procedure applicable to the design of concentration factors for data with missing spectral bands. Several illustrative examples are used to demonstrate the capabilities of the method.