A high-resolution imaging spectrometry system is presented to enhance spectral shear control in traditional interferometric spectrometers. The scheme integrates Amici prisms into a Sagnac interferometer to achieve mixed spectral splitting. Combining lateral and dispersion shear effects controls the optical path difference for different wavelengths, enabling high-resolution spectral information with fewer sampling points. The study analyzes the physical model, conducts theoretical research, and optimizes the optical characteristics of the system. Essential components are manufactured and assembled, and an experimental setup is constructed, yielding high-resolution spectral data cubes, verifying the effectiveness of the system in spectral acquisition.