Speckle patterns, when properly sampled, encode both the intentisy
and phase information and can be directly inverted to high-resolution
and high-quality images. Miao pioneered this lensless imaging field
and the applications are very broad ranging from physics, chemistry,
materials science and nanoscience to biology. See their recent work
for details - J. Miao, Y. Nishino, Y. Kohmura, B. Johnson, C. Song,
S.H. Risbud, T. Ishikawa, “Quantitative
Image Reconstruction of GaN Quantum Dots from Oversampled Diffraction
Intensities Alone”, Phys.
Rev. Lett. 95, 085503 (2005).