In order to obtain higher signal-to-noise ratio

hyperspectral spectrometer typically adopts motion compensation techniques to increase the integration time of detector imaging. To the mirror motion compensation mode

the imaging characteristics are analyzed and a geometric relation between mirror angle and the observation vector is established. Based on the collinearity equations

a rigorous geometric model of this kind of spectrometer can be established. The model describes the physical properties of the imaging spectrometer through the relationship between the image and the ground coordinate system. The test results indicate that the validity of the model and high-precision imaging products can be obtained.