Estimation of Lag in Misregistered, Averaged Images
针对多波段图像因大气或设备导致的像素错位问题，提出了两种基于惩罚最小二乘和最大互协方差的滞后估计方法，并通过数学模型和仿真验证了其有效性。
Abstract In problems where the recorded signal comprises two or more bands (i.e., wavelengths), it is often the case that the bands are not perfectly aligned in the focal plane. Such misregistration may be caused by atmospheric or oceanographic effects, which refract different bands to differing degrees, or it may result from features of the design of the recording equipment. This article develops two methods for estimating the lag, or the amount by which the bands are out of alignment on a pixel grid, in cases where the recorded data are obtained by pixel averaging. Our two techniques are applicable directly to the signal domain and are based on penalized least squares (or errors in variables) and maximum cross-covariance. They use mathematical interpolation to accommodate the effect of pixel averaging. We introduce a concise and tractable asymptotic model for comparing the performance of the two techniques. The model predicts that the techniques should perform similarly. This is borne out by simulation studies and by applications to real data.