To address the need for the analysis of image processing and optical requirements in multi-mode imaging systems, such as multi-spectral and polarimetric imagers, I have developed a Fisher information matrix to quantify errors in estimating the shift between images with non-transformational feature differences. If images of the same field have differences not attributable to a geometric transformation, as is common for images acquired using different spectral or polarization filters, uncertainty in estimating the parameters of the transformation will be increased by intrinsic bias, or bias inherent in the data itself, as opposed to bias originating in the estimation algorithm. The approach to shift-estimation error analysis described in this Letter accounts for intrinsic bias, has intuitively expected properties and, given planned system sensitivity and operating conditions, can be used with simulated multi-mode imagery to estimate image registration error and develop realistic requirements.

中文翻译：

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用于多模式图像配准的Fisher信息计算中的内在偏差

为了满足分析多模成像系统（例如多光谱成像仪和偏振成像仪）中图像处理和光学要求的需求，我开发了Fisher信息矩阵来量化误差，以估计具有非变换特征的图像之间的偏移差异。如果同一场的图像具有不归因于几何变换的差异（如使用不同光谱或偏振滤镜获取的图像常见的差异），则固有参数会增加估计变换参数的不确定性偏差或数据本身固有的偏差，与估算算法中产生的偏差相反。在本函中描述的偏移估计误差分析方法可解决固有偏差，具有直观的预期特性，并且在计划好的系统灵敏度和工作条件下，可与模拟的多模式图像一起使用，以估计图像配准误差并提出切合实际的要求。