{"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. The goal of this algorithm is to recover the three-dimensional spatial&#8230;<\/p>\n","protected":false},"author":103,"featured_media":510,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[7],"tags":[],"class_list":["post-509","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-conference-proceedings"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/posts\/509","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/users\/103"}],"replies":[{"embeddable":true,"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/comments?post=509"}],"version-history":[{"count":2,"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/posts\/509\/revisions"}],"predecessor-version":[{"id":512,"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/posts\/509\/revisions\/512"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/media\/510"}],"wp:attachment":[{"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/media?parent=509"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/categories?post=509"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/research.ece.ncsu.edu\/osl\/wp-json\/wp\/v2\/tags?post=509"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}