Image reconstruction from frequency-offset Fourier data
Image reconstruction from frequency-offset Fourier data
复制标题
从频偏傅里叶数据重建图像
作者：
D. Munson;J. Sanz
由于合成孔径雷达和相关成像系统能够产生令人惊讶的高质量图像，我们考虑了从距离原点偏移的小区域f的傅里叶变换样本中重建复杂信号f的幅值的问题。结果表明，只要f的相位是高度随机的，高质量的散斑重建是可能的。在这种情况下，重建的质量对已知傅里叶数据的位置不敏感，并且所有方向的边缘都可以很好地再现。给出了大量的计算机实例来证明这些属性。并简要讨论了提高图像质量的方法。
Motivated by the ability of synthetic-aperture radar and related imaging systems to produce images of surprisingly high quality, we consider the problem of reconstructing the magnitude of a complex signal f from samples of the Fourier transform of f located in a small region offset from the origin. It is shown that high-quality speckle reconstructions are possible so long as the phase of f is highly random. In this case, the quality of the reconstruction is insensitive to the location of the known Fourier data, and edges at all orientations are reproduced equally well. A large number of computer examples are presented demonstrating these attributes. Methods for improving image quality are also briefly discussed.