The present invention relates to a
spectral imaging method based on high-order mathematical modeling and fitting calibration, belonging to the technical field of
spectral imaging. An equivalent
correction code is set in the established high-order
mathematical model, and while implementing the encoding operation, it characterizes the response non-uniformity. Before and after the equivalent
correction code of the established high-order
mathematical model, a group or multiple groups of two-dimensional
convolution kernels are set to comprehensively characterize non-ideal factors such as aberration, pixel mismatch, high-order dispersion, and
assembly error, improving the
coincidence degree between the
mathematical model and the actual projection measurement process. The calibration process of the high-order mathematical
model parameters is constructed as an inverse
optimization problem, training sample data is collected, and an optimization
algorithm is used to solve the constructed
optimization problem to complete the calibration of the high-order mathematical
model parameters, improving the practicability of the calibration method. After the
spectral data cube is modulated by the
coded aperture and the dispersion
prism, it is imaged onto the
detector. Finally, based on the established high-order mathematical model, a
reconstruction algorithm is used to reconstruct the
spectral image.