{"refrec":{"BRefID":247073,"RR":"<b>Beckers, J.-M.; Barth, A.; Tomazic, I.; Alvera-Azcárate, A.</b> (2014). A method to generate fully multi-scale optimal interpolation by combining efficient single process analyses, illustrated by a DINEOF analysis spiced with a local optimal interpolation. <i>Ocean Sci. 10(5)</i>: 845-862. <a href=\"http://dx.doi.org/10.5194/os-10-845-2014\" target=\"_blank\">dx.doi.org/10.5194/os-10-845-2014</a>","BEntID":238773,"PublicFlag":1,"CheckedFlag":1,"wosflag":1,"vabbflag":null,"RefStringPartII":". <i>Ocean Sci. 10(5)</i>: 845-862. <a href=\"https://dx.doi.org/10.5194/os-10-845-2014\" target=\"_blank\">https://dx.doi.org/10.5194/os-10-845-2014</a>","DocTypID":8,"DocType":"Journal article","MarineFlag":1,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Beckers, J.-M.; Barth, A.; Tomazic, I.; Alvera-Azcárate, A.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Beckers, J.-M. <i>et al.</i>","Englishabstract":"We present a method in which the optimal interpolation of multi-scale processes can be expanded into a succession of simpler interpolations. First, we prove how the optimal analysis of a superposition of two processes can be obtained by different mathematical formulations involving iterations and analysis focusing on a single process. From the different mathematical equivalent formulations, we then select the most efficient ones by analyzing the behavior of the different possibilities in a simple and well-controlled test case. The clear guidelines deduced from this experiment are then applied to a real situation in which we combine large-scale analysis of hourly Spinning Enhanced Visible and Infrared Imager (SEVIRI) satellite images using data interpolating empirical orthogonal functions (DINEOF) with a local optimal interpolation using a Gaussian covariance. 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