Image reconstruction from a complete set of geometric and complex moments
Image reconstruction from a complete set of geometric and complex moments
复制标题
DOI：
10.1016/j.sigpro.2013.11.037
复制
发表时间：
2014-05-01
影响因子：
4.4
通讯作者：
Lim, Chern-Loon
中科院分区：
文献类型：
--
作者：
Honarvar, Barmak x;Paramesran, Raveendran;Lim, Chern-Loon
图像可以由其正交矩的有限集合重构。由于几何矩核和复矩核不满足正交准则，使用它们直接重建图像是困难的。在本文中，我们提出了一种从几何矩（gm）或复矩（CMs）重建图像的技术。我们利用了gm和第二类Stirling数之间的关系。然后，利用斯特林变换的可逆性，可以从原始图像的完整几何矩集或复矩集重构原始图像。此外，在前人关于模糊对矩域影响的研究基础上，利用所提出的重建方法，给出了一种从退化的图像矩和模糊参数中获得估计原始图像的公式。最后给出了该方法在模糊图像上的重建性能，验证了理论框架。(C) 2013 Elsevier B.V.版权所有
An image can be reconstructed from the finite set of its orthogonal moments. Since geometric and complex moment kernels do not satisfy orthogonality criterion, direct image reconstruction using them is deemed to be difficult. In this paper, we propose a technique to reconstruct an image from either geometric moments (GMs) or complex moments (CMs). We utilize a relationship between GMs and Stirling numbers of the second kind. Then, by using the invertibility property of the Stirling transform, the original image can be reconstructed from its complete set of either geometric or complex moments. Further, based on previous works on blur effects on a moment domain and using the proposed reconstruction methods, a formulation is shown to obtain an estimated original image from the degraded image moments and the blur parameter. The reconstruction performance of the proposed methods on blur images is presented to validate the theoretical framework. (C) 2013 Elsevier B.V. All rights reserved.