This Demonstration shows a picture sampled with points obtained from a quasicrystal after steps of deflation of the quasicrystal.  discusses an analysis of the fidelity of the image reconstruction compared with other techniques in computer graphics.
 M. Grundland, J. Patera, Z. Masá́ková́, and N. A. Dodgson, "Image Sampling with Quasicrystals," Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 5(075), 2009 pp. 1–23. arXiv:0907.3604. doi:10.3842/SIGMA.2009.075.