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This part of ISO 16610 develops the concept of the discrete robust Gaussian regression filter. The robust process reduces the influence of deep valleys and high peaks. The subject of this part of ISO 16610 is the robust Gaussian regression filter of degree p = 2 with very good robust behavior and shape approximation for plateau-like functionally relevant engineering surfaces. This part of ISO 16610 is a geometrical product specification (GPS) standard and is to be regarded as a general GPS standard (see ISO/TR 14638). It influences chain link C of all chains of standards. The ISO GPS matrix model given in ISO 14638 gives an overview of the ISO GPS system of which this document is a part. The fundamental rules of ISO GPS given in ISO 8015 apply to this document and the default decision rules given in ISO 14253-1 apply to the specifications made in accordance with this document, unless otherwise indicated. This document has been prepared by Technical Committee ISO/TC 213 "Dimensional and geometrical product specifications and verification" (secretariat: DS, Denmark) in collaboration with Technical Committee CEN/TC 290 "Dimensional and geometrical product specification and verification", the secretariat of which is held by AFNOR (France). The responsible national committee is Working Committee NA 152-03-03 AA "Oberflächen" ("Surfaces") at DIN Standards Committee Technical Fundamentals (NATG).