IEEE Trans Image Process. 2014 Apr;23(4):1896-908. doi: 10.1109/TIP.2014.2310125.
Compressive spectral imaging (CSI) senses the spatio-spectral information of a scene by measuring 2D coded projections on a focal plane array. A ℓ1-norm-based optimization algorithm is then used to recover the underlying discretized spectral image. The coded aperture snapshot spectral imager (CASSI) is an architecture realizing CSI where the reconstruction image quality relies on the design of a 2D set of binary coded apertures which block-unblock the light from the scene. This paper extends the compressive capabilities of CASSI by replacing the traditional blocking-unblocking coded apertures by a set of colored coded apertures. The colored coded apertures are optimized such that the number of projections is minimized while the quality of reconstruction is maximized. The optimal design of the colored coded apertures aims to better satisfy the restricted isometry property in CASSI. The optimal designs are compared with random colored coded aperture patterns and with the traditional blocking-unblocking coded apertures. Extensive simulations show the improvement in reconstruction PSNR attained by the optimal colored coded apertures designs.
压缩光谱成像（CSI）通过在焦平面阵列上测量二维编码投影来感知场景的空间-光谱信息。然后使用基于ℓ1 范数的优化算法来恢复底层离散光谱图像。编码孔径快照光谱成像仪（CASSI）是一种实现 CSI 的架构，其中重建图像质量取决于二维一组二进制编码孔径的设计，这些孔径阻挡或不阻挡来自场景的光。本文通过用一组彩色编码孔径替换传统的阻挡-不阻挡编码孔径，扩展了 CASSI 的压缩能力。彩色编码孔径经过优化，使得在最大化重建质量的同时最小化投影数量。彩色编码孔径的最佳设计旨在更好地满足 CASSI 中的受限等距性质。将最佳设计与随机彩色编码孔径模式和传统的阻挡-不阻挡编码孔径进行了比较。大量仿真表明，通过优化彩色编码孔径设计可以提高重建 PSNR。
