{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,3]],"date-time":"2025-10-03T13:03:44Z","timestamp":1759496624823},"reference-count":7,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2005,10,20]],"date-time":"2005-10-20T00:00:00Z","timestamp":1129766400000},"content-version":"vor","delay-in-days":5072,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Imaging Syst Tech"],"published-print":{"date-parts":[[1991,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The possibility of reconstructing two\u2010dimensional electron\u2010density profiles in the ionosphere with ionospheric tomography is significant. However, due to the nature of the imaging system, there are several resolution degradation parameters. In order to compensate for these degradation parameters, <jats:italic>a priori<\/jats:italic> information must be used. This article introduces the orthogonal decomposition algorithm for image reconstruction, which uses the <jats:italic>a priori<\/jats:italic> information to generate a set of orthogonal basis functions for the source domain. This algorithm consists of two simple steps: orthogonal decomposition and recombination. In the development of the algorithm, it is shown that the degradation parameters of the imaging system result in correlations among projections of orthogonal functions. Gram\u2013Schmidt orthogonalization is used to compensate for these correlations, producing a matrix that measures the degradation of the system. Any set of basis functions can be used, and depending upon this choice, the nature of the algorithm varies greatly. Choosing the basis functions of the source domain to be the Fourier kernels produces an algorithm capable of isolating individual frequency components of individual projections. This particular choice of basis functions also results in an algorithm that strongly resembles the direct Fourier method, but without requiring the use of inverse Fourier transforms.<\/jats:p>","DOI":"10.1002\/ima.1850030407","type":"journal-article","created":{"date-parts":[[2007,3,5]],"date-time":"2007-03-05T22:49:29Z","timestamp":1173134969000},"page":"354-365","source":"Crossref","is-referenced-by-count":31,"title":["Orthogonal decomposition technique for ionospheric tomography"],"prefix":"10.1002","volume":"3","author":[{"given":"Helen","family":"Na","sequence":"first","affiliation":[]},{"given":"Hua","family":"Lee","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2005,10,20]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/ima.1850020307"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1029\/RS023i003p00299"},{"key":"e_1_2_1_4_2","unstructured":"H.NaandH.Lee \u201cTomographic reconstruction techniques and resolution limit of tomographic imaging of electron density profiles in the ionosphere \u201d in North American Radio Science Meeting Program and Abstracts 1991 p.546."},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1029\/JZ065i004p01139"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1029\/JZ066i004p01061"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1029\/JZ067i006p02315"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1121\/1.391934"}],"container-title":["International Journal of Imaging Systems and Technology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fima.1850030407","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/ima.1850030407","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T00:41:27Z","timestamp":1698021687000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/ima.1850030407"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,12]]},"references-count":7,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1991,12]]}},"alternative-id":["10.1002\/ima.1850030407"],"URL":"https:\/\/doi.org\/10.1002\/ima.1850030407","archive":["Portico"],"relation":{},"ISSN":["0899-9457","1098-1098"],"issn-type":[{"value":"0899-9457","type":"print"},{"value":"1098-1098","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,12]]}}}