{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:56:01Z","timestamp":1760241361495,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2018,2,15]],"date-time":"2018-02-15T00:00:00Z","timestamp":1518652800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000930","name":"NSF","doi-asserted-by":"publisher","award":["DMS 1217239"],"award-info":[{"award-number":["DMS 1217239"]}],"id":[{"id":"10.13039\/501100000930","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000888","name":"W. M. Keck Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000888","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>This paper introduces a variational method for destriping data acquired by pushbroom-type satellite imaging systems. The model leverages sparsity in signals and is based on current research in sparse optimization and compressed sensing. It is based on the basic principles of regularization and data fidelity with certain constraints using modern methods in variational optimization, namely, total variation (TV), \r\n          \r\n            \r\n              \r\n                L\r\n                1\r\n              \r\n            \r\n          \r\n         fidelity, and the alternating direction method of multipliers (ADMM). The proposed algorithm, TV\u2013\r\n          \r\n            \r\n              \r\n                L\r\n                1\r\n              \r\n            \r\n          \r\n        , uses sparsity-promoting energy functionals to achieve two important imaging effects. The TV term maintains boundary sharpness of the content in the underlying clean image, while the \r\n          \r\n            \r\n              \r\n                L\r\n                1\r\n              \r\n            \r\n          \r\n         fidelity allows for the equitable removal of stripes without over- or under-penalization, providing a more accurate model of presumably independent sensors with an unspecified and unrestricted bias distribution. A comparison is made between the TV\u2013\r\n          \r\n            \r\n              \r\n                L\r\n                2\r\n              \r\n            \r\n          \r\n         model and the proposed TV\u2013\r\n          \r\n            \r\n              \r\n                L\r\n                1\r\n              \r\n            \r\n          \r\n         model to exemplify the qualitative efficacy of an \r\n          \r\n            \r\n              \r\n                L\r\n                1\r\n              \r\n            \r\n          \r\n         striping penalty. The model makes use of novel minimization splittings and proximal mapping operators, successfully yielding more realistic destriped images in very few iterations.<\/jats:p>","DOI":"10.3390\/rs10020300","type":"journal-article","created":{"date-parts":[[2018,2,20]],"date-time":"2018-02-20T03:54:22Z","timestamp":1519098862000},"page":"300","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Variational Destriping in Remote Sensing Imagery: Total Variation with L1 Fidelity"],"prefix":"10.3390","volume":"10","author":[{"given":"Igor","family":"Yanovsky","sequence":"first","affiliation":[{"name":"Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, USA"},{"name":"Joint Institute for Regional Earth System Science and Engineering, University of California, Los Angeles, CA 90095, USA"}]},{"given":"Konstantin","family":"Dragomiretskiy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of California, Los Angeles, CA 90095, USA"}]}],"member":"1968","published-online":{"date-parts":[[2018,2,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1860","DOI":"10.1109\/TGRS.2009.2033587","article-title":"Statistical Linear Destriping of Satellite-Based Pushbroom-Type Images","volume":"48","author":"Carfantan","year":"2010","journal-title":"IEEE Trans. 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