A system and method are disclosed for generating an optimized projection pattern and for using the optimized projection pattern for depth reconstruction. The system includes a De Bruijn graph generation module, a non-recurring De Bruijn sequence generation module and projection pattern generation module. The De Bruijn graph generation module is configured to generate a classical De Bruijn graph. The non-recurring De Bruijn sequence generation module is configured to generate a non-recurring De Bruijn sequence by eliminating nodes with recurring alphabets from the classical De Bruijn sequence and calculating a Hamiltonian cycle of the modified De Bruijn graph. The projection pattern generation module is configured to generate the optimized projection pattern form the non-recurring De Bruijn sequence. The system further comprises a projector to project the non-recurring De Bruijn sequence to a plurality of images and a depth reconstruction module to reconstruct depth images from the plurality of the images.