Implementation of New Strategies in Multidimensional Compressive Imaging
Kelly, Kevin F.
Doctor of Philosophy
Since 2004, compressive sensing (CS) has attracted considerable attentions due to its virtue of being able to reconstruct a signal when being sampled at sub-Nyquist rate. Building on the mathematical breakthroughs of CS, we previously developed a unique imaging hardware platform, named single pixel camera (SPC), which incorporates a spatial light modulator and a single detector. We have exploited this to construct the infrared, hyperspectral, and low-light imaging systems that have greatly reduced cost in power, space, and/or expense compared to their traditional counterparts. However, previous imaging applications based on these systems are constrained to static images and fail for time-varying scenes (videos). There are also several drawbacks to the SPC system. One of which is the use of the digital micromirror device (DMD) as the light modulator. While this modulator has a broad spectral response from the ultraviolet through the visible and across the mid-infrared, it does not operate in the terahertz or other portions of the spectrum. Additionally, the binary nature and limited twelve degree of tilt of the micromirrors reduces the eld of view and presents optical design challenges in certain con gurations. To surmount the static scene limitation, we implement, compare and analyze two new algorithms for compressive video acquisitions and reconstructions. We also present the rst experimental results for video recovery by combining the algorithms with the SPC system. To overcome the drawbacks of the use of the DMD as the light modulator in the SPC, we propose an implementation of a new system based on a single mask design whose lateral translation achieves the same purpose as the DMD during data acquisition but with a simpler, more robust form factor.