SIST-TS CEN ISO/TS 12781-2:2008

SLOVENSKI STANDARD
SIST-TS CEN ISO/TS 12781-2:2008
01-april-2008
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Geometrical product specifications (GPS) - Flatness - Part 2: Specification operators
(ISO/TS 12781-2:2003)
Geometrische Produktspezifikation (GPS) - Ebenheit - Teil 2: Spezifikationsoperatoren
(ISO/TS 12781-2:2003)
Spécification géométrique des produits (GPS) - Planéité - Partie 2: Opérateurs de
spécification (ISO/TS 12781-2:2003)
Ta slovenski standard je istoveten z: CEN ISO/TS 12781-2:2007
ICS:
01.040.17
17.040.01
SIST-TS CEN ISO/TS 12781-2:2008 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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TECHNICAL SPECIFICATION
CEN ISO/TS 12781-2
SPÉCIFICATION TECHNIQUE
TECHNISCHE SPEZIFIKATION
December 2007
ICS 17.040.01; 01.040.17

English Version
Geometrical product specifications (GPS) - Flatness - Part 2:
Specification operators (ISO/TS 12781-2:2003)
Spécification géométrique des produits (GPS) - Planéité - Geometrische Produktspezifikation (GPS) - Ebenheit - Teil
Partie 2: Opérateurs de spécification (ISO/TS 12781- 2: Spezifikationsoperatoren (ISO/TS 12781-2:2003)
2:2003)
This Technical Specification (CEN/TS) was approved by CEN on 8 October 2007 for provisional application.
The period of validity of this CEN/TS is limited initially to three years. After two years the members of CEN will be requested to submit their
comments, particularly on the question whether the CEN/TS can be converted into a European Standard.
CEN members are required to announce the existence of this CEN/TS in the same way as for an EN and to make the CEN/TS available
promptly at national level in an appropriate form. It is permissible to keep conflicting national standards in force (in parallel to the CEN/TS)
until the final decision about the possible conversion of the CEN/TS into an EN is reached.
CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland,
France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal,
Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
Management Centre: rue de Stassart, 36  B-1050 Brussels
© 2007 CEN All rights of exploitation in any form and by any means reserved Ref. No. CEN ISO/TS 12781-2:2007: E
worldwide for CEN national Members.

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CEN ISO/TS 12781-2:2007 (E)
Contents Page
Foreword.3

2

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CEN ISO/TS 12781-2:2007 (E)
Foreword
The text of ISO/TS 12781-2:2003 has been prepared by Technical Committee ISO/TC 213 “Dimensional and
geometrical product specifications and verification” of the International Organization for Standardization (ISO)
and has been taken over as CEN ISO/TS 12781-2:2007 by Technical Committee CEN/TC 290 “Dimensional
and geometrical product specification and verification” the secretariat of which is held by AFNOR.
Attention is drawn to the possibility that some of the elements of this document may be the subject of patent
rights. CEN [and/or CENELEC] shall not be held responsible for identifying any or all such patent rights.
According to the CEN/CENELEC Internal Regulations, the national standards organizations of the following
countries are bound to announce this Technical Specification: Austria, Belgium, Bulgaria, Cyprus, Czech
Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia,
Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain,
Sweden, Switzerland and the United Kingdom.
Endorsement notice
The text of ISO/TS 12781-2:2003 has been approved by CEN as a CEN ISO/TS 12781-2:2007 without any
modification.

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TECHNICAL ISO/TS
SPECIFICATION 12781-2
First edition
2003-12-01

Geometrical Product Specifications
(GPS) — Flatness —
Part 2:
Specification operators
Spécification géométrique des produits (GPS) — Planéité —
Partie 2: Opérateurs de spécification




Reference number
ISO/TS 12781-2:2003(E)
©
ISO 2003

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ISO/TS 12781-2:2003(E)
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ii © ISO 2003 — All rights reserved

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ISO/TS 12781-2:2003(E)
Contents Page
Foreword. iv
Introduction . v
1 Scope. 1
2 Normative references. 1
3 Terms and definitions. 1
4 Complete specification operator . 1
5 Compliance with specification . 2
Annex A (informative) Harmonic content of a nominally flat workpiece and extraction strategy . 3
Annex B (informative) Extraction strategies. 7
Annex C (informative) Relation to the GPS matrix model . 11
Bibliography . 13

© ISO 2003 — All rights reserved iii

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ISO/TS 12781-2:2003(E)
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies
(ISO member bodies). The work of preparing International Standards is normally carried out through ISO
technical committees. Each member body interested in a subject for which a technical committee has been
established has the right to be represented on that committee. International organizations, governmental and
non-governmental, in liaison with ISO, also take Part in the work. ISO collaborates closely with the
International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards
adopted by the technical committees are circulated to the member bodies for voting. Publication as an
International Standard requires approval by at least 75 % of the member bodies casting a vote.
In other circumstances, particularly when there is an urgent market requirement for such documents, a
technical committee may decide to publish other types of normative document:
 an ISO Publicly Available Specification (ISO/PAS) represents an agreement between technical experts in
an ISO working group and is accepted for publication if it is approved by more than 50 % of the members
of the parent committee casting a vote;
 an ISO Technical Specification (ISO/TS) represents an agreement between the members of a technical
committee and is accepted for publication if it is approved by 2/3 of the members of the committee casting
a vote.
An ISO/PAS or ISO/TS is reviewed after three years in order to decide whether it will be confirmed for a
further three years, revised to become an International Standard, or withdrawn. If the ISO/PAS or ISO/TS is
confirmed, it is reviewed again after a further three years, at which time it must either be transformed into an
International Standard or be withdrawn.
Attention is drawn to the possibility that some of the elements of this document may be the subject of patent
rights. ISO shall not be held responsible for identifying any or all such patent rights.
ISO/TS 12781-2 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification.
ISO/TS 12781 consists of the following parts, under the general title Geometrical Product Specifications
(GPS) — Flatness:
 Part 1: Vocabulary and parameters of flatness
 Part 2: Specification operators
iv © ISO 2003 — All rights reserved

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ISO/TS 12781-2:2003(E)
Introduction
This part of ISO/TS 12781 is a geometrical product specification (GPS) Technical Specification and is to be
regarded as a general GPS document (see ISO/TR 14638). It influences chain link 3 of the chain of standards
on form of a surface (independent of a datum).
For more detailed information on the relation of this part of ISO/TS 12781 to other standards and the GPS
matrix model, see Annex C.
This part of ISO/TS 12781 specifies the specification operators according to ISO/TS 17450-2 for flatness of
integral features.
At the current state of development, ISO TC 213 has not been able to reach a consensus on defaults for filter
UPR, probe tip radius and method of association (reference plane). This means that a flatness specification
must explicitly state which values are to be used for these specification operations in order for it to be unique.
Consequently, if a specification does not explicitly state which values are to be used for one or more of these
operators, the specification is uncertain (see ISO/TS 17450-2) and a supplier can use any value for the
operator(s) not specified when proving conformance.
Extracting data will always involve applying a certain filtering process. An additional filtering of the extracted
data may or may not be applied. This additional filter can be a mean line filter (Gaussian, spline, wavelet, etc.)
or a non-linear filter (e.g. morphological filter). The type of filtering will influence the definition of flatness and
the specification operators and, therefore, needs to be stated unambiguously.
NOTE 1 Stylus filtering is not sufficient on its own to smooth a profile. In certain circumstances it can create spurious
high-frequency content, thus giving incorrect values. To correct this, a longwave-pass filter is employed. A Gaussian filter
is used, since this is the current state-of-the-art in ISO standards. This filter has some shortcomings, e.g. it can distort,
rather than eliminate some roughness features and it can distort, rather than transmit correctly some waviness features. It
is envisioned that new filters under development within ISO will provide better solutions for several of these issues.
NOTE 2 If a smaller tip radius than the one specified is used for a given cut-off length, the resulting measured value will
generally be higher. This effect is usually insignificant. If a larger tip radius is used, the resulting measured value will
generally be lower. The amount of change is heavily dependent on the surface measured.
NOTE 3 The measuring force of 0 N is chosen to eliminate effects of elastic deformation of the workpiece from the
specification operator. On metal surfaces with adequate thickness, the effect of normally occurring measuring forces will
be negligible.
NOTE 4 Aliasing and other problems during extraction (see Annex A) due to the higher harmonic content of the skin
model, in the straightness directions, can cause specification uncertainty.
This part of ISO/TS 12781 is not intended to disallow any means of measuring flatness.

© ISO 2003 — All rights reserved v

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TECHNICAL SPECIFICATION ISO/TS 12781-2:2003(E)

Geometrical Product Specifications (GPS) — Flatness —
Part 2:
Specification operators
1 Scope
This part of ISO/TS 12781 specifies the complete specification operator for flatness of complete integral
features only, i.e. geometrical characteristics of individual features of type plane.
2 Normative references
The following referenced documents are indispensable for the application of this document. For dated
references, only the edition cited applies. For undated references, the latest edition of the referenced
document (including any amendments) applies.
ISO/TS 12781-1:2003, Geometrical Product Specifications (GPS) — Flatness — Part 1: Vocabulary and
parameters of flatness
ISO 14253-1:1998, Geometrical Product Specifications (GPS) — Inspection by measurement of workpieces
and measuring equipment — Part 1: Decision rules for proving conformance or non-conformance with
specifications
ISO/TS 17450-2:2002, Geometrical Product Specifications (GPS) — General concepts — Part 2: Basic
temets, specifications, operators and uncertainties
3 Terms and definitions
For the purposes of this part of ISO/TS 12781, the terms and definitions given in ISO/TS 12781-1 and
ISO/TS 17450-2 apply.
4 Complete specification operator
4.1 General
The complete specification operator (see ISO/TS 17450-2) is a full ordered set of unambiguous specification
operations in a well-defined order. The complete specification operator defines the transmission band for the
flatness surface, together with an appropriate stylus tip geometry.
NOTE In practice it is unrealistic to achieve comprehensive coverage of the flatness feature given by the theoretical
minimum density of points (see Annex B) within an acceptable time span using current technology. Therefore more limited
extraction strategies are employed that give specif
...