Displacements and strains can be calculated from the microscopic image of a quasiperiodic structure by the analysis of its spectral content, consisting of a discrete set of peaks (Bragg spots in the case of the crystal structure). Typically one would choose certain peak and evaluate the displacements by investigating its neighborhood. However, there is a large amount of redundancy in such an image, as similar measurement can be performed by choosing a different Bragg spot. We demonstrate an approach which in a systematic manner employs information from multiple Bragg spots for the displacement evaluation. This has a positive influence on the quality and robustness of the measurements.