Multiresolution-based reconstruction for compressive spectral video sensing using a spectral multiplexing sensor

Spectral multiplexing sensors based on compressive sensing attempt to break the Nyquist barrier to acquire high spectral resolution scenes. Particularly, the colored coded aperture-based compressive spectral imager extended to video, or video C-CASSI, is a spectral multiplexing sensor that allows capturing spectral dynamic scenes by projecting each spectral frame onto a bidimensional detector using a 3D coded aperture. Afterwards, the compressed signal reconstruction is performed iteratively by finding a sparse solution to an undetermined linear system of equations. Even though the acquired signal can be recovered from much fewer observations by an − -norm recovery algorithm than using conventional sensors, the reconstruction exhibits diverse challenges originated by the temporal variable or motion. The motion during the reconstruction produces artifacts that damages the entire data. In this work, a multiresolution-based reconstruction method for compressive spectral video sensing is proposed. In this way, it obtains the temporal information from the measurements at a low computational cost. Thereby, the optimization problem to recover the signal is extended by adding temporal information in order to correct the errors originated by the scene motion. Computational experiments performed over four different spectral videos show an improvement up to 4dB in terms of peak-signal to noise ratio (PSNR) in the reconstruction quality using the multiresolution approach applied to the spectral video reconstruction with respect to the traditional inverse problem. Los sensores de multiplexación espectral basados en muestreo compresivo intentan romper la barrera de Nyquist para adquirir escenas de alta resolución espectral. Particularmente, el sistema de imágenes espectrales de única captura basado en aperturas codificadas de color extendido a vídeo, o video – CCASSI, es un sensor de multiplexación espectral que permite la adquisición de imágenes espectrales dinámicas proyectando cada fotograma espectral sobre un detector bidimensional usando un apertura de codificación 3D. Posteriormente, la reconstrucción de la señal comprimida se realiza iterativamente encontrando una solución escasa a un sistema lineal de ecuaciones indeterminado. Si bien la señal adquirida puede ser recuperada desde un algoritmo basado en la norma l_2 − l_1, con muchas menos observaciones en comparación a los sistemas convencionales, dicha reconstrucción presenta diversos desafíos originados p