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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 the chain links 3 and 5 of all chains of standards. The ISO/GPS Masterplan given in ISO 14638 gives an overview of the ISO/GPS system of which this part of ISO 16610 is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this part of ISO 16610 and the default decision rules given in ISO 14253-1 apply to specifications made in accordance with this part of ISO 16610, unless otherwise indicated. For more detailed information about the relation of this part of ISO 16610 to the GPS matrix model, see Annex C. This part of ISO 16610 develops the terminology and concepts for morphological operations and filters, including envelope filters. This document (EN ISO 16610-40:2015) 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).