Compressive image acquisition and classification via secant projections

Given its importance in a wide variety of machine vision applications, extending high-speed object detection and recognition beyond the visible spectrum in a cost-effective manner presents a significant technological challenge. As a step in this direction, we developed a novel approach for target image classification using a compressive sensing architecture. Here we report the first implementation of this approach utilizing the compressive single-pixel camera system. The core of our approach rests on the design of new measurement patterns, or projections, that are tuned to objects of interest. Our measurement patterns are based on the notion of secant projections of image classes that are constructed using two different approaches. Both approaches show at least a twofold improvement in terms of the number of measurements over the conventional, data-oblivious compressive matched filter. As more noise is added to the image, the second method proves to be the most robust.