Three dimensional single pixel imaging with far fewer measurements than effective image pixels.
Typical single pixel imaging techniques inherently consume a large number of measurements to reconstruct a high quality and high resolution image. Three dimensional (3 D) single pixel imaging with both high sampling efficiency and high depth accuracy remains a challenge. We implement fringe projection virtually by exploiting Helmholtz reciprocity. Depth information is modulated into a deformed fringe pattern whose Fourier spectrum is sampled by using sinusoidal intensity pattern illumination and single pixel detection. The fringe pattern has a highly focused first order component in its Fourier spectrum, which allows us to efficiently acquire the depth information from measurements far fewer than illumination pattern pixels. The 3 D information is retrieved through Fourier analysis. We experimentally obtained a 3 D reconstruction of a complex object with 599x599 effective pixels, achieving a measurement to pixel ratio of 5.78% The depth accuracy is evaluated at sub millimetric level by using a test object.
Optics letters