In many surveillance scenarios, one concern that arises is how to construct an imager that is capable of capturing the scene with high fidelity. This could be problematic for two reasons: first, the optics and electronics in the camera may have difficulty in dealing with so much information; secondly, bandwidth constraints, may pose difficulty in transmitting information from the imager to the user efficiently for reconstruction or realization. In this thesis, we will discuss a mathematical framework that is capable of skirting the two aforementioned issues. This framework is rooted in a technique commonly referred to as compressive sensing. We will explore two of the seminal works in compressive sensing and will present the key theorems and definitions from these two papers. We will then survey three different surveillance scenarios and their respective compressive sensing solutions. The original contribution of this thesis is the development of a distributed compressive sensing model.

No presente trabalho, investigamos algumas propriedades e aplicações para imagens de diferença de polarização (PDI\'s) propondo dois sistemas de aquisição destas imagens como alternativas à arquitetura proposta por Tyo (1996). O primeiro sistema aqui abordado faz uso de duas câmeras e dois polarizadores para a obtenção de PDI\'s. A redundância, em termos de elementos de aquisição de imagens, visa suprir uma deficiência do sistema supracitado, qual seja a sua impossibilidade de operar em tempo real. O segundo projeto propõe a utilização de filtros polarizadores baseados em implementações de estruturas Fabry-Perot utilizando-se filmes finos birrefringentes de TiOx, como elemento principal de um dispositivo que possa ser produzido na forma de um microssistema integrado de aquisição de imagens completamente compatível com as tecnologias de produção CMOS disponíveis hoje em dia. Dadas as possibilidades envolvendo esse último projeto, definimos como objetivo principal deste trabalho a obtenção de filtros polarizadores baseados em tecnologia de filmes finos birrefringentes, que foram obtidos por deposição física num equipamento de Sputtering DC. Na etapa de análise dos dados, foram feitas caracterizações ópticas (espectrofotometria) e RBS tanto dos filtros finais quanto dos filmes de TiOx, que foram ensaiados previamente para a extração de parâmetros necessários para o projeto dos filtros de interferência. Conclui-se o trabalho comprovando a possibilidade de se obter filtros polarizadores que possam ser utilizados em sistemas integrados de aquisição de imagens, mas ressalva-se que o equipamento de Sputtering DC empregado não é o ideal para essa aplicação, sugerindo-se o uso de equipamentos capazes de monitorar espessura e índices de refração durante o processo de deposição dos filmes (um exemplo seria um sistema de deposição por e-beam acoplado a um elipsômetro de transmitância) / In the present work, it was investigated some properties and applications for polarization-difference images (PDI\'s), what led us to the proposition of two acquisition systems for such images as alternatives to the architecture proposed by Tyo (1996). The first system here discussed uses two cameras and two polarizers in the attainment of PDI\'s. The image elements redundancy is supposed to overcome a deficiency of the above-mentioned system that is its inability to operate in real time. The second project proposes the use of polarizing filters based on Fabry-Perot structures obtained with birefringent thin films of TiOx. Such filters are the key elements in a device that can be implemented as an integrated microsystem, fully compatible with the CMOS production technologies, available nowadays. Given the possibilities associated with this last project, it was defined as the main goal of this work, the attainment of polarizing filters based on birefringent thin films technology, physically deposited by a DC Sputtering equipment. During the phase of data analysis, it was carried out optical characterizations (spectrofotometry) as well as RBS analysis, both for the filters itself and for the TiOx films, that were previously investigated in order to determine the required parameters for the design of the interference filters. This work is concluded by proving the possibility of using polarizing filters in integrated image acquisition systems, but a remark ismade stating that the employed equipment is not the ideal one for such applications and it is suggested the use of deposition set up capable to monitor thickness and refractive indexes during the run (an example would be an e-beam equipment connected to a transmittance ellipsometer).

No presente trabalho, investigamos algumas propriedades e aplicações para imagens de diferença de polarização (PDI\'s) propondo dois sistemas de aquisição destas imagens como alternativas à arquitetura proposta por Tyo (1996). O primeiro sistema aqui abordado faz uso de duas câmeras e dois polarizadores para a obtenção de PDI\'s. A redundância, em termos de elementos de aquisição de imagens, visa suprir uma deficiência do sistema supracitado, qual seja a sua impossibilidade de operar em tempo real. O segundo projeto propõe a utilização de filtros polarizadores baseados em implementações de estruturas Fabry-Perot utilizando-se filmes finos birrefringentes de TiOx, como elemento principal de um dispositivo que possa ser produzido na forma de um microssistema integrado de aquisição de imagens completamente compatível com as tecnologias de produção CMOS disponíveis hoje em dia. Dadas as possibilidades envolvendo esse último projeto, definimos como objetivo principal deste trabalho a obtenção de filtros polarizadores baseados em tecnologia de filmes finos birrefringentes, que foram obtidos por deposição física num equipamento de Sputtering DC. Na etapa de análise dos dados, foram feitas caracterizações ópticas (espectrofotometria) e RBS tanto dos filtros finais quanto dos filmes de TiOx, que foram ensaiados previamente para a extração de parâmetros necessários para o projeto dos filtros de interferência. Conclui-se o trabalho comprovando a possibilidade de se obter filtros polarizadores que possam ser utilizados em sistemas integrados de aquisição de imagens, mas ressalva-se que o equipamento de Sputtering DC empregado não é o ideal para essa aplicação, sugerindo-se o uso de equipamentos capazes de monitorar espessura e índices de refração durante o processo de deposição dos filmes (um exemplo seria um sistema de deposição por e-beam acoplado a um elipsômetro de transmitância) / In the present work, it was investigated some properties and applications for polarization-difference images (PDI\'s), what led us to the proposition of two acquisition systems for such images as alternatives to the architecture proposed by Tyo (1996). The first system here discussed uses two cameras and two polarizers in the attainment of PDI\'s. The image elements redundancy is supposed to overcome a deficiency of the above-mentioned system that is its inability to operate in real time. The second project proposes the use of polarizing filters based on Fabry-Perot structures obtained with birefringent thin films of TiOx. Such filters are the key elements in a device that can be implemented as an integrated microsystem, fully compatible with the CMOS production technologies, available nowadays. Given the possibilities associated with this last project, it was defined as the main goal of this work, the attainment of polarizing filters based on birefringent thin films technology, physically deposited by a DC Sputtering equipment. During the phase of data analysis, it was carried out optical characterizations (spectrofotometry) as well as RBS analysis, both for the filters itself and for the TiOx films, that were previously investigated in order to determine the required parameters for the design of the interference filters. This work is concluded by proving the possibility of using polarizing filters in integrated image acquisition systems, but a remark ismade stating that the employed equipment is not the ideal one for such applications and it is suggested the use of deposition set up capable to monitor thickness and refractive indexes during the run (an example would be an e-beam equipment connected to a transmittance ellipsometer).

Use of imaging systems for performing various situational awareness tasks in militaryand commercial settings has a long history. There is increasing recognition,however, that a much better job can be done by developing non-traditional opticalsystems that exploit the task-specific system aspects within the imager itself. Insome cases, a direct consequence of this approach can be real-time data compressionalong with increased measurement fidelity of the task-specific features. In others,compression can potentially allow us to perform high-level tasks such as direct trackingusing the compressed measurements without reconstructing the scene of interest.In this dissertation we present novel advancements in feature-specific (FS) imagersfor large field-of-view surveillence, and estimation of temporal object-scene changesutilizing the compressive imaging paradigm. We develop these two ideas in parallel.In the first case we show a feature-specific (FS) imager that optically multiplexesmultiple, encoded sub-fields of view onto a common focal plane. Sub-field encodingenables target tracking by creating a unique connection between target characteristicsin superposition space and the target's true position in real space. This isaccomplished without reconstructing a conventional image of the large field of view.System performance is evaluated in terms of two criteria: average decoding time andprobability of decoding error. We study these performance criteria as a functionof resolution in the encoding scheme and signal-to-noise ratio. We also includesimulation and experimental results demonstrating our novel tracking method. Inthe second case we present a FS imager for estimating temporal changes in the objectscene over time by quantifying these changes through a sequence of differenceimages. The difference images are estimated by taking compressive measurementsof the scene. Our goals are twofold. First, to design the optimal sensing matrixfor taking compressive measurements. In scenarios where such sensing matrices arenot tractable, we consider plausible candidate sensing matrices that either use theavailable <italic>a priori</italic> information or are non-adaptive. Second, we develop closed-form and iterative techniques for estimating the difference images. We present results to show the efficacy of these techniques and discuss the advantages of each.