{"id":509,"date":"2017-05-22T19:07:32","date_gmt":"2017-05-22T19:07:32","guid":{"rendered":"https:\/\/beta.research.ece.ncsu.edu\/osl\/?p=509"},"modified":"2017-05-22T19:07:48","modified_gmt":"2017-05-22T19:07:48","slug":"a-reconstruction-algorithm-for-three-dimensional-object-space-data-using-spatial-spectral-multiplexing","status":"publish","type":"post","link":"https:\/\/research.ece.ncsu.edu\/osl\/2017\/05\/22\/a-reconstruction-algorithm-for-three-dimensional-object-space-data-using-spatial-spectral-multiplexing\/","title":{"rendered":"A reconstruction algorithm for 3D object-space data using spatial-spectral multiplexing"},"content":{"rendered":"<p><strong>Abstract<\/strong>: This paper presents a reconstruction algorithm for the Spatial-Spectral Multiplexing (SSM) optical system. The goal of this algorithm is to recover the three-dimensional spatial and spectral information of a scene, given that a one-dimensional spectrometer array is used to sample the pupil of the spatial-spectral modulator. The challenge of the reconstruction is that the non-parametric representation of the three-dimensional spatial and spectral object requires a large number of variables, thus leading to an underdetermined linear system that is hard to uniquely recover. We propose to reparameterize the spectrum using B-spline functions to reduce the number of unknown variables. Our reconstruction algorithm then solves the improved linear system via a least-square optimization of such B-spline coe\u000ecients with additional spatial smoothness regularization. The ground truth object and the optical model for the measurement matrix are simulated with both spatial and spectral assumptions according to a realistic \feld of view. In order to test the robustness of the algorithm, we add Poisson noise to the measurement and test on both two-dimensional and three-dimensional spatial and spectral scenes. Our analysis shows that the root mean square error of the recovered results can be achieved within 5.15%.<\/p>\n<p>Z. Wu and M. W. Kudenov, &#8220;A reconstruction algorithm for three-dimensional object-space data using spatial-spectral multiplexing,&#8221; in (2017), Vol. 10198, pp. 1019812-1019812\u201310.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Abstract: This paper presents a reconstruction algorithm for the Spatial-Spectral Multiplexing (SSM) optical system. 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