{"id":229,"date":"2023-02-16T10:11:23","date_gmt":"2023-02-16T10:11:23","guid":{"rendered":"https:\/\/hygeos.com\/?page_id=229"},"modified":"2025-09-02T10:01:34","modified_gmt":"2025-09-02T10:01:34","slug":"smac-cl","status":"publish","type":"page","link":"https:\/\/hygeos.com\/en\/smac-cl\/","title":{"rendered":"SMAC-CL"},"content":{"rendered":"<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1224px;margin-left: calc(-2% \/ 2 );margin-right: calc(-2% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_6 1_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:5.88%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:5.88%;--awb-width-medium:16.666666666667%;--awb-order-medium:0;--awb-spacing-right-medium:5.88%;--awb-spacing-left-medium:5.88%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:0.98%;--awb-spacing-left-small:0.98%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-builder-row fusion-builder-row-inner fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"width:102% !important;max-width:102% !important;margin-left: calc(-2% \/ 2 );margin-right: calc(-2% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-0 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:0.98%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0.98%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:0.98%;--awb-spacing-left-medium:0.98%;--awb-width-small:50%;--awb-order-small:0;--awb-spacing-right-small:1.96%;--awb-spacing-left-small:1.96%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-aspect-ratio:1 \/ 1;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-none has-aspect-ratio\"><img decoding=\"async\" width=\"200\" height=\"200\" alt=\"Logo SMAC-CL\" title=\"SMAC-CL\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27200%27%20height%3D%27200%27%20viewBox%3D%270%200%20200%20200%27%3E%3Crect%20width%3D%27200%27%20height%3D%27200%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"http:\/\/hygeos.com\/wp-content\/uploads\/2023\/02\/SMAC-CL-e1678721807424.png\" class=\"lazyload img-responsive wp-image-70 img-with-aspect-ratio\" data-parent-fit=\"cover\" data-parent-container=\".fusion-image-element\" \/><\/span><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_5_6 5_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:83.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.176%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.176%;--awb-width-medium:83.333333333333%;--awb-order-medium:0;--awb-spacing-right-medium:1.176%;--awb-spacing-left-medium:1.176%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:0.98%;--awb-spacing-left-small:0.98%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-1 fusion-sep-none fusion-title-text fusion-title-size-one\"><h1 class=\"fusion-title-heading title-heading-left\" style=\"margin:0;\"><h1>SMAC-CL \/ SMAC-COEFF<\/h1><\/h1><\/div><div class=\"fusion-builder-row fusion-builder-row-inner fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"width:102% !important;max-width:102% !important;margin-left: calc(-2% \/ 2 );margin-right: calc(-2% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-1 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-overflow:hidden;--awb-bg-color:var(--awb-custom_color_1);--awb-bg-color-hover:var(--awb-custom_color_1);--awb-bg-size:cover;--awb-border-radius:15px 15px 15px 15px;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:0.98%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0.98%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:0.98%;--awb-spacing-left-medium:0.98%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:0.98%;--awb-spacing-left-small:0.98%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-1\" style=\"--awb-content-alignment:justify;\"><p>The Simplified Model of Atmospheric Correction (SMAC) allows the analytical calculation of the Top-Of-Atmosphere (TOA) reflectance depending on the gazes and atmospheric aerosols, on the surface pressure and on the surface reflectivity. Sensor specific coefficients of each equation are determined using a best fit technique against the computations of an exact radiative transfer code. Thus, SMAC can be easily inverted to retrieve the surface reflectance when the TOA reflectance is known. As it is computationally fast, it is particularly <strong>useful for performing atmospheric correction in near real time on huge amount of satellite sensor data<\/strong>.<\/p>\n<\/div><div class=\"fusion-title title fusion-title-2 fusion-sep-none fusion-title-text fusion-title-size-two\"><h2 class=\"fusion-title-heading title-heading-left\" style=\"margin:0;\">Steadily improving tools<\/h2><\/div><div class=\"fusion-text fusion-text-2 fusion-text-no-margin\" style=\"--awb-content-alignment:justify;--awb-margin-bottom:50px;\"><p>HYGEOS has <strong>entirely refactored and significantly upgraded<\/strong> the original SMAC<sup>1<\/sup> code, developed by LERTS, now <a href=\"https:\/\/www.cesbio.cnrs.fr\/\" target=\"_blank\" rel=\"noopener\">CESBIO<\/a>, in 1990\u2019s. Only the concept of semi-empirical formulations describing the different interactions (absorption, scattering, transmission, etc.) of solar radiation with atmospheric components along its path through the atmosphere has been kept. Now, the SMAC-CL code implements in OPEN-CL the original SMAC algorithm but with additionnal aerosol models, BRDF effects, etc.<\/p>\n<p>In particular, HYGEOS also developed the SMAC-COEFF module. This module allows to calculate the SMAC coefficients for any sensor, knowing its spectral response function and other basic data. Aerosols optical and spectral properties and gaseous transmission are calculated separately to achieve completely absorption\/scattering coupling as described in the figure below. Look-Up-Tables (LUTs) are thus calculated using the <a href=\"https:\/\/www.icare.univ-lille.fr\/artdeco\/\" target=\"_blank\" rel=\"noopener\">ARTDECO<\/a> radiative transfer model, jointly developed by the <a href=\"https:\/\/www-loa.univ-lille1.fr\/\" target=\"_blank\" rel=\"noopener\">Laboratoire d\u2019Optique Atmosph\u00e9rique<\/a> and HYGEOS, or using <a href=\"https:\/\/hygeos.com\/en\/smart-g\/\">SMART-G<\/a>. Finally, these LUTs are fitted to generate SMAC coefficients. HYGEOS has computed SMAC coefficients for a number of sensors including PROBA-V, Sentinel-3\/OLCI &amp; SLSTR, MODIS, VIIRS, the successive AVHRR\/NOAA sensors. Indeed, SMAC-CL is implemented in the operational processing chains of the <a href=\"https:\/\/hygeos.com\/en\/project\/continental_ecosystems_monitoring\/\">Copernicus Climate Change Service and the Copernicus Land Monitoring Service<\/a> and for <a href=\"https:\/\/hygeos.com\/en\/land-monitoring\/\">land monitoring<\/a> research projects.<\/p>\n<\/div><\/div><\/div><\/div><div class=\"fusion-builder-row fusion-builder-row-inner fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"width:102% !important;max-width:102% !important;margin-left: calc(-2% \/ 2 );margin-right: calc(-2% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-2 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:0.98%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0.98%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:0.98%;--awb-spacing-left-medium:0.98%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:0.98%;--awb-spacing-left-small:0.98%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-2 hover-type-none\"><img decoding=\"async\" width=\"1697\" height=\"894\" alt=\"Architecture of SMAC-COEFF tool. The modules in blue boxes were developed totally or partly by HYGEOS.\" title=\"SMAC-COEFF architecture\" src=\"https:\/\/hygeos.com\/wp-content\/uploads\/SMAC_concept-3.webp\" data-orig-src=\"http:\/\/hygeos.com\/wp-content\/uploads\/SMAC_concept-3.webp\" class=\"lazyload img-responsive wp-image-4042\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%271697%27%20height%3D%27894%27%20viewBox%3D%270%200%201697%20894%27%3E%3Crect%20width%3D%271697%27%20height%3D%27894%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/hygeos.com\/wp-content\/uploads\/SMAC_concept-3-200x105.webp 200w, https:\/\/hygeos.com\/wp-content\/uploads\/SMAC_concept-3-400x211.webp 400w, https:\/\/hygeos.com\/wp-content\/uploads\/SMAC_concept-3-600x316.webp 600w, https:\/\/hygeos.com\/wp-content\/uploads\/SMAC_concept-3-800x421.webp 800w, https:\/\/hygeos.com\/wp-content\/uploads\/SMAC_concept-3-1200x632.webp 1200w, https:\/\/hygeos.com\/wp-content\/uploads\/SMAC_concept-3.webp 1697w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 1697px\" \/><\/span><\/div><div class=\"fusion-text fusion-text-3 fusion-text-no-margin\" style=\"--awb-content-alignment:center;--awb-font-size:14px;\"><p><em>Architecture of SMAC-COEFF tool. The modules in blue boxes were developed totally or partly by HYGEOS.<\/em><\/p>\n<p><em>\u00a0<\/em><\/p>\n<\/div><div class=\"fusion-image-element \" style=\"--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-3 hover-type-none\"><img decoding=\"async\" width=\"1494\" height=\"956\" alt=\"TOC reflectances (middle) and their corresponding uncertainties (bottom) as retrieved by SMAC-CL from the TOA reflectance (top) for each SPOT\/VEGETATION spectral band; 49\u00d749 pixels around AERONET station of Ispra on 1st of June 1999.\" title=\"TOA_TOC_VGT_by_SMAC-CL\" src=\"https:\/\/hygeos.com\/wp-content\/uploads\/TOA_TOC_VGT_by_SMAC-CL-1.webp\" data-orig-src=\"http:\/\/hygeos.com\/wp-content\/uploads\/TOA_TOC_VGT_by_SMAC-CL-1.webp\" class=\"lazyload img-responsive wp-image-4050\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%271494%27%20height%3D%27956%27%20viewBox%3D%270%200%201494%20956%27%3E%3Crect%20width%3D%271494%27%20height%3D%27956%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/hygeos.com\/wp-content\/uploads\/TOA_TOC_VGT_by_SMAC-CL-1-200x128.webp 200w, https:\/\/hygeos.com\/wp-content\/uploads\/TOA_TOC_VGT_by_SMAC-CL-1-400x256.webp 400w, https:\/\/hygeos.com\/wp-content\/uploads\/TOA_TOC_VGT_by_SMAC-CL-1-600x384.webp 600w, https:\/\/hygeos.com\/wp-content\/uploads\/TOA_TOC_VGT_by_SMAC-CL-1-800x512.webp 800w, https:\/\/hygeos.com\/wp-content\/uploads\/TOA_TOC_VGT_by_SMAC-CL-1-1200x768.webp 1200w, https:\/\/hygeos.com\/wp-content\/uploads\/TOA_TOC_VGT_by_SMAC-CL-1.webp 1494w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 1494px\" \/><\/span><\/div><div class=\"fusion-text fusion-text-4\" style=\"--awb-content-alignment:center;--awb-font-size:14px;\"><p><em>Example of SMAC-CL application: TOC reflectances (middle) and their corresponding uncertainties (bottom) as retrieved by SMAC-CL from the TOA reflectance (top) for each SPOT\/VEGETATION spectral band; 49\u00d749 pixels around AERONET station of Ispra on 1<sup>st<\/sup> of June 1999.<\/em><\/p>\n<\/div><\/div><\/div><\/div><div class=\"fusion-builder-row fusion-builder-row-inner fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"width:102% !important;max-width:102% !important;margin-left: calc(-2% \/ 2 );margin-right: calc(-2% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-3 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-overflow:hidden;--awb-bg-color:var(--awb-custom_color_1);--awb-bg-color-hover:var(--awb-custom_color_1);--awb-bg-size:cover;--awb-border-radius:15px 15px 15px 15px;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:0.98%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0.98%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:0.98%;--awb-spacing-left-medium:0.98%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:0.98%;--awb-spacing-left-small:0.98%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-5\" style=\"--awb-content-alignment:justify;--awb-margin-top:30px;\"><p>HYGEOS continues to upgrade SMAC-CL implementing new functionalities. Thus, the Jacobians has been added in order to calculate and propagate the uncertainties due to the key model parameters like the aerosol optical depth or the column of water vapor. The uncertainty due to the aerosol model is also taken into account. Further in-depth improvements are ongoing.<\/p>\n<p><strong>Contact at HYGEOS: <a href=\"https:\/\/hygeos.com\/en\/team\/didier-ramon\/\" target=\"_blank\" rel=\"noopener\">Didier Ramon<\/a><\/strong><\/p>\n<\/div><div class=\"fusion-text fusion-text-6\" style=\"--awb-content-alignment:justify;--awb-font-size:14px;--awb-margin-top:25px;\"><p><sup>(1)<\/sup> <em>Rahman H. and G. Dedieu, \u201cSMAC: a simplified method for the atmospheric correction of satellite measurements in the solar spectrum\u201d. <\/em><em>Intern. J. Remote Sens.<\/em><em>, 15, 123-143, 1994. <\/em><a href=\"https:\/\/doi.org\/10.1080\/01431169408954055\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1080\/01431169408954055<\/a><\/p>\n<p><sup>(2)<\/sup> <em>Schreier, F. and S. Gimeno Garcia, &#8220;Py4CAtS \u2013 Python Tools for Line-by-Line Modelling of Atmospheric Radiative Transfer&#8221;. In Robert F. Cahalan and J\u00fcrgen Fischer (editors), Radiation Processes in the Atmosphere and Ocean (IRS 2012): Proceedings of the International Radiation Symposium (IRC\/IAMAS) Volume 1531 of AIP Conference Proceedings, pages 123 &#8211; 126. American Institute of Physics, 2013. <a href=\"https:\/\/doi.org\/10.1063\/1.4804723\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1063\/1.4804723<\/a>. <\/em><a href=\"https:\/\/atmos.eoc.dlr.de\/tools\/Py4CAtS\" target=\"_blank\" rel=\"noopener\">https:\/\/atmos.eoc.dlr.de\/tools\/Py4CAtS<\/a><\/p>\n<p><sup>(3)<\/sup> <em>Hogan, R. J. and M. Matricardi, &#8220;Evaluating and improving the treatment of gases in radiation schemes: the Correlated K-Distribution Model Intercomparison Project (CKDMIP)&#8221;, Geosci. Model Dev., 13, 6501\u20136521, <\/em>2020. <a href=\"https:\/\/doi.org\/10.5194\/gmd-13-6501-2020\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.5194\/gmd-13-6501-2020<\/a><\/p>\n<p><sup>(4)<\/sup> <em>Gasteiger, J. and M. Wiegner, &#8220;MOPSMAP v1.0: a versatile tool for the modeling of aerosol optical properties<\/em>&#8220;.\u00a0<em>Geosci. Model Dev., 11, 2739\u20132762, 2018. <\/em><a href=\"https:\/\/doi.org\/10.5194\/gmd-11-2739-2018\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.5194\/gmd-11-2739-2018<\/a><\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"100-width.php","meta":{"footnotes":""},"class_list":["post-229","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>SMAC-CL - Hygeos<\/title>\n<meta name=\"description\" content=\"HYGEOS has refactored the original SMAC algorithm adding new functionalities and developed module to calculate SMAC coefficients for any sensors.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hygeos.com\/en\/smac-cl\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"SMAC-CL - 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