Abstract: Apparatus and method for obtaining a plurality of spectral images of a source object in a snapshot using comprising two-dimensional compressed sensing data cube reconstruction (2D CS-SCR) applied to a dispersed-diffused snapshot image. In some embodiments, the snapshot image is obtained through a RIP diffuser. In some embodiments, a randomizer is used to further randomized the dispersed-diffused snapshot image. The 2D CS-SCR includes applying a 2D framelet transform separately to arrays representing different wavebands of spectral cube data derived from the snapshot image. The application of the 2D framelet transform separately to the arrays representing the different wavebands includes application of direct and inverse 2D framelet transforms to the arrays. In some embodiments, the direct and inverse framelet transforms are included in a split Bregman iteration.

Abstract: Apparatus and method for obtaining a plurality of spectral images of a source object in a snapshot using comprising two-dimensional compressed sensing data cube reconstruction (2D CS-SCR) applied to a dispersed-diffused snapshot image. In some embodiments, the snapshot image is obtained through a RIP diffuser. In some embodiments, a randomizer is used to further randomized the dispersed-diffused snapshot image. The 2D CS-SCR includes applying a 2D framelet transform separately to arrays representing different wavebands of spectral cube data derived from the snapshot image. The application of the 2D framelet transform separately to the arrays representing the different wavebands includes application of direct and inverse 2D framelet transforms to the arrays. In some embodiments, the direct and inverse framelet transforms are included in a split Bregman iteration.

Abstract: Monochromatic cameras and methods for using such cameras to obtain a still or video color image of an object or scene. The image sensor of such cameras is clear, without a color filter array. A diffused-dispersed and optionally randomized image of the object or scene obtained at the image sensor is processed directly into a number R<K of spectral images in R wavebands. K?R spectral images are interpolated from the R spectral images. A color image is then reconstructed using the directly processed R spectral images and the K?R interpolated spectral images. The interpolated images may exemplarily be obtained using a spline subdivision algorithm.

Abstract: Apparatus and method for obtaining a plurality of spectral images of a source object in a snapshot using comprising two-dimensional compressed sensing data cube reconstruction (2D CS-SCR) applied to a dispersed-diffused snapshot image. In some embodiments, the snapshot image is obtained through a RIP diffuser. In some embodiments, a randomizer is used to further randomized the dispersed-diffused snapshot image. The 2D CS-SCR includes applying a 2D framelet transform separately to arrays representing different wavebands of spectral cube data derived from the snapshot image. The application of the 2D framelet transform separately to the arrays representing the different wavebands includes application of direct and inverse 2D framelet transforms to the arrays. In some embodiments, the direct and inverse framelet transforms are included in a split Bregman iteration.

Abstract: Apparatus and method for obtaining a plurality of spectral images of a source object in a snapshot using comprising two-dimensional compressed sensing data cube reconstruction (2D CS-SCR) applied to a dispersed-diffused snapshot image. In some embodiments, the snapshot image is obtained through a RIP diffuser. In some embodiments, a randomizer is used to further randomized the dispersed-diffused snapshot image. The 2D CS-SCR includes applying a 2D framelet transform separately to arrays representing different wavebands of spectral cube data derived from the snapshot image. The application of the 2D framelet transform separately to the arrays representing the different wavebands includes application of direct and inverse 2D framelet transforms to the arrays. In some embodiments, the direct and inverse framelet transforms are included in a split Bregman iteration.

Abstract: Snapshot spectral imagers comprise an imaging lens, a dispersed image sensor and a restricted isometry property (RIP) diffuser inserted in the optical path between the source image and the image sensor. The imagers are used to obtain a plurality of spectral images of the source object in different spectral bands in a single shot. In some embodiments, the RIP diffuser is one dimensional. An optional disperser may be added in the optical path, to provide further dispersion at the image sensor. In some embodiments, all imager components except the RIP diffuser may be part of a digital camera, with the RIP diffuser added externally. In some embodiments, the RIP diffuser may be included internally in a digital camera.

Abstract: Monochromatic cameras and methods for using such cameras to obtain a still or video color image of an object or scene. The image sensor of such cameras is clear, without a color filter array. A diffused-dispersed and optionally randomized image of the object or scene obtained at the image sensor is processed directly into a number R<K of spectral images in R wavebands. K?R spectral images are interpolated from the R spectral images. A color image is then reconstructed using the directly processed R spectral images and the K?R interpolated spectral images. The interpolated images may exemplarily be obtained using a spline subdivision algorithm.

Abstract: Snapshot spectral imagers comprise an imaging lens, a dispersed image sensor and a restricted isometry property (RIP) diffuser inserted in the optical path between the source image and the image sensor. The imagers are used to obtain a plurality of spectral images of the source object in different spectral bands in a single shot. In some embodiments, the RIP diffuser is one dimensional. An optional disperser may be added in the optical path, to provide further dispersion at the image sensor. In some embodiments, all imager components except the RIP diffuser may be part of a digital camera, with the RIP diffuser added externally. In some embodiments, the RIP diffuser may be included internally in a digital camera.

Abstract: Snapshot spectral imagers comprise an imaging lens, a dispersed image sensor and a restricted isometry property (RIP) diffuser inserted in the optical path between the source image and the image sensor. The imagers are used to obtain a plurality of spectral images of the source object in different spectral bands in a single shot. In some embodiments, the RIP diffuser is one dimensional. An optional disperser may be added in the optical path, to provide further dispersion at the image sensor. In some embodiments, all imager components except the RIP diffuser may be part of a digital camera, with the RIP diffuser added externally. In some embodiments, the RIP diffuser may be included internally in a digital camera.

Abstract: Snapshot spectral imagers comprise an imaging lens, a dispersed image sensor and a restricted isometry property (RIP) diffuser inserted in the optical path between the source image and the image sensor. The imagers are used to obtain a plurality of spectral images of the source object in different spectral bands in a single shot. In some embodiments, the RIP diffuser is one dimensional. An optional disperser may be added in the optical path, to provide further dispersion at the image sensor. In some embodiments, all imager components except the RIP diffuser may be part of a digital camera, with the RIP diffuser added externally. In some embodiments, the RIP diffuser may be included internally in a digital camera.

Abstract: Methods for compression of two-dimensional data arrays which are piece-wise smooth in one direction and have oscillating events in the other direction. In one embodiment, a wavelet transform is applied in the piece-wise smooth direction and a local cosine transform (LCT) is applied in the direction with oscillatory events, both producing respective transform coefficients. The LCT coefficients are reordered to mimic a wavelet transform coefficient order, and both wavelet transform and reordered LCT coefficients are quantized and entropy coded to obtain a compressed 2D image. In some embodiments with oscillatory events in both directions, a LCT is applied in both directions and all the LCT coefficients in each direction are reordered before the quantization and entropy coding.

Abstract: Methods for compression of two-dimensional data arrays which are piece-wise smooth in one direction and have oscillating events in the other direction. In one embodiment, a wavelet transform is applied in the piece-wise smooth direction and a local cosine transform (LCT) is applied in the direction with oscillatory events, both producing respective transform coefficients. The LCT coefficients are reordered to mimic a wavelet transform coefficient order, and both wavelet transform and reordered LCT coefficients are quantized and entropy coded to obtain a compressed 2D image. In some embodiments with oscillatory events in both directions, a LCT is applied in both directions and all the LCT coefficients in each direction are reordered before the quantization and entropy coding.

Abstract: A method, system, and computer program for automatic restoration of digital film and video frames, by operation of a sequence of five main interactive computer program blocks, mainly separating moving objects from still objects, separating smooth texture from regions containing edges using the coherency map, and detecting and removing defects to provide restored frames using a pair of frames as reference frames for each processed frame.

Abstract: A method, system, and computer program for automatic restoration of digital film and video frames, by operation of a sequence of five main interactive computer program blocks, mainly separating moving objects from still objects, separating smooth texture from regions containing edges using the coherency map, and detecting and removing defects to provide restored frames using a pair of frames as reference frames for each processed frame.