Modal decomposition of astronomical images with application to shapelets
Modal decomposition of astronomical images with application to shapelets
复制标题
天文图像的模态分解及其在 shapelet 中的应用
DOI：
10.1111/j.1365-2966.2004.08180.x
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发表时间：
2004
影响因子：
4.8
通讯作者：
M. P. H. Withington
中科院分区：
文献类型：
--
作者：
R. H. Berry;M. P. H. Withington
将图像分解为数字化基函数的线性组合是天文学中的日常任务。给出了一种将这种分解最优地分解为任意一组线性相关、非正交和不完全的数字化基函数的一般方法。结果表明，即使对正交完备的连续基函数进行数字化处理，也可能出现这种情况。特别是，数字化的形状基函数的研究，并显示出遭受这些困难。结果，执行形状分析的标准方法产生不必要的不准确分解。这里提出的最优方法在所有情况下都能产生更准确的分解。
The decomposition of an image into a linear combination of digitized basis functions is an everyday task in astronomy. A general method is presented for performing such a decomposition optimally into an arbitrary set of digitized basis functions, which may be linearly dependent, non-orthogonal and incomplete. It is shown that such circumstances may result even from the digitization of continuous basis functions that are orthogonal and complete. In particular, digitized shapelet basis functions are investigated and are shown to suffer from such difficulties. As a result the standard method of performing shapelet analysis produces unnecessarily inaccurate decompositions. The optimal method presented here is shown to yield more accurate decompositions in all cases.