Geometrical product specifications (GPS) - Filtration - Part 71: Robust areal filters: Gaussian regression filters (ISO 16610-71:2014)

This part of ISO 16610 specifies the metrological characteristics of robust areal Gaussian regression filters, for the rotationally symmetric filtration of nominal planar surfaces and the filtration of nominal cylindrical surfaces.

Geometrische Produktspezifikation (GPS) - Filterung - Teil 71: Robuste Flächenfilter: Gaußsche Regressionsfilter (ISO 16610-71:2014)

Dieser Teil von ISO 16610 legt die Merkmale des robusten, flächenhaften Gaußschen Regressionsfilters für die Auswertung von Oberflächen fest, die impulsartige Störungen sowie tiefe Einschnitte und hohe Spitzen enthalten dürfen. Er legt insbesondere fest, wie großskalige laterale Komponenten und kleinskalige laterale Komponenten einer Oberfläche getrennt werden.

Spécification géométrique des produits (GPS) - Filtrage - Partie 71: Filtres surfaciques robustes: Filtres de régressions gaussiens (ISO 16610-71:2014)

L'ISO 16610-71:2014 spécifie les caractéristiques du filtre de régression gaussien surfacique robuste pour l'évaluation des surfaces pouvant contenir des discontinuités de type pointe mais aussi des vallées profondes et des pics élevés. Elle spécifie en particulier la méthode de séparation des composantes latérales à grande échelle et à petite échelle d'une surface.

Specifikacija geometrijskih veličin izdelka (GPS) – Filtriranje - 71. del: Grobopovršinski filtri: Gaussovi regresijski filtri (ISO 16610-71:2014)

Ta del standarda ISO 16610 določa meroslovne značilnosti grobopovršinskih Gaussovih regresijskih filtrov za rotacijsko simetrično filtriranje nominalnih planarnih površin in filtriranje nominalnih cilindričnih površin.

General Information

Status
Published
Public Enquiry End Date
24-Jun-2012
Publication Date
09-Nov-2014
Technical Committee
Current Stage
6060 - National Implementation/Publication (Adopted Project)
Start Date
13-Oct-2014
Due Date
18-Dec-2014
Completion Date
10-Nov-2014

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Standards Content (Sample)

SLOVENSKI STANDARD
SIST EN ISO 16610-71:2014
01-december-2014
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND *36 ±)LOWULUDQMHGHO
*URERSRYUãLQVNLILOWUL*DXVVRYLUHJUHVLMVNLILOWUL ,62
Geometrical product specifications (GPS) - Filtration - Part 71: Robust areal filters:
Gaussian regression filters (ISO 16610-71:2014)
Geometrische Produktspezifikation (GPS) - Filterung - Teil 71: Robuste Flächenfilter:
Gaußsche Regressionsfilter (ISO 16610-71:2014)
Spécification géométrique des produits (GPS) - Filtrage - Partie 71: Filtres surfaciques
robustes: Filtres de régressions gaussiens (ISO 16610-71:2014)
Ta slovenski standard je istoveten z: EN ISO 16610-71:2014
ICS:
17.040.20 Lastnosti površin Properties of surfaces
SIST EN ISO 16610-71:2014 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

---------------------- Page: 1 ----------------------

SIST EN ISO 16610-71:2014

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SIST EN ISO 16610-71:2014

EUROPEAN STANDARD
EN ISO 16610-71

NORME EUROPÉENNE

EUROPÄISCHE NORM
September 2014
ICS 17.040.20
English Version
Geometrical product specifications (GPS) - Filtration - Part 71:
Robust areal filters: Gaussian regression filters (ISO 16610-
71:2014)
Spécification géométrique des produits (GPS) - Filtrage - Geometrische Produktspezifikation (GPS) - Filterung - Teil
Partie 71: Filtres surfaciques robustes: Filtres de régression 71: Robuste Flächenfilter: Gaußsche Regressionsfilter (ISO
gaussiens (ISO 16610-71:2014) 16610-71:2014)
This European Standard was approved by CEN on 16 August 2014.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European
Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such national
standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN member.

This European Standard exists in three official versions (English, French, German). A version in any other language made by translation
under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management Centre has the same
status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,
Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,
Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and United
Kingdom.





EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels
© 2014 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 16610-71:2014 E
worldwide for CEN national Members.

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SIST EN ISO 16610-71:2014
EN ISO 16610-71:2014 (E)
Contents Page
Foreword .3

2

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SIST EN ISO 16610-71:2014
EN ISO 16610-71:2014 (E)
Foreword
This document (EN ISO 16610-71:2014) has been prepared by Technical Committee ISO/TC 213
“Dimensional and geometrical product specifications and verification” in collaboration with Technical
Committee CEN/TC 290 “Dimensional and geometrical product specification and verification” the secretariat of
which is held by AFNOR.
This European Standard shall be given the status of a national standard, either by publication of an identical
text or by endorsement, at the latest by March 2015, and conflicting national standards shall be withdrawn at
the latest by March 2015.
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 implement this European Standard: Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech
Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece,
Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal,
Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the United Kingdom.
Endorsement notice
The text of ISO 16610-71:2014 has been approved by CEN as EN ISO 16610-71:2014 without any
modification.

3

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SIST EN ISO 16610-71:2014

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SIST EN ISO 16610-71:2014
INTERNATIONAL ISO
STANDARD 16610-71
First edition
2014-09-15
Geometrical product specifications
(GPS) — Filtration —
Part 71:
Robust areal filters: Gaussian
regression filters
Spécification géométrique des produits (GPS) — Filtrage —
Partie 71: Filtres surfaciques robustes: Filtres de régression gaussiens
Reference number
ISO 16610-71:2014(E)
©
ISO 2014

---------------------- Page: 7 ----------------------

SIST EN ISO 16610-71:2014
ISO 16610-71:2014(E)

COPYRIGHT PROTECTED DOCUMENT
© ISO 2014
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form
or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior
written permission. Permission can be requested from either ISO at the address below or ISO’s member body in the country of
the requester.
ISO copyright office
Case postale 56 • CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail copyright@iso.org
Web www.iso.org
Published in Switzerland
ii © ISO 2014 – All rights reserved

---------------------- Page: 8 ----------------------

SIST EN ISO 16610-71:2014
ISO 16610-71:2014(E)

Contents Page
Foreword .iv
Introduction .vi
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Robust planar Gaussian regression filter . 2
4.1 General . 2
4.2 Weighting function . 2
4.3 Filter equation . 3
4.4 Transmission characteristics . 5
5 Robust cylindrical Gaussian regression filter . 5
5.1 General . 5
5.2 Weighting function . 5
5.3 Filter equation . 6
5.4 Transmission characteristics . 7
6 Nesting Index for planar and cylinder surfaces . 8
7 Filter designation. 8
Annex A (informative) Regression filter . 9
Annex B (informative) Examples .11
Annex C (informative) Relationship to the filtration matrix model .16
Annex D (informative) Relation to the GPS matrix model .18
Bibliography .20
© ISO 2014 – All rights reserved iii

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SIST EN ISO 16610-71:2014
ISO 16610-71:2014(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.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2 (see www.iso.org/directives).
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. Details of
any patent rights identified during the development of the document will be in the Introduction and/or
on the ISO list of patent declarations received (see www.iso.org/patents).
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
For an explanation on the meaning of ISO specific terms and expressions related to conformity
assessment, as well as information about ISO’s adherence to the WTO principles in the Technical Barriers
to Trade (TBT) see the following URL: Foreword - Supplementary information
The committee responsible for this document is ISO/TC 213, Dimensional and geometrical product
specifications and verification.
ISO 16610 consists of the following parts, under the general title Geometrical product specifications
(GPS) — Filtration:
— Part 1: Overview and basic concepts [Technical Specification]
— Part 20: Linear profile filters: Basic concepts [Technical Specification]
— Part 21: Linear profile filters: Gaussian filters
— Part 22: Linear profile filters: Spline filters [Technical Specification]
— Part 28: Profile filters: End effects [Technical Specification]
— Part 29: Linear profile filters: Spline wavelets [Technical Specification]
— Part 30: Robust profile filters: Basic concepts [Technical Specification]
— Part 31: Robust profile filters: Gaussian regression filters [Technical Specification]
— Part 32: Robust profile filters: Spline filters [Technical Specification]
— Part 40: Morphological profile filters: Basic concepts [Technical Specification]
— Part 41: Morphological profile filters: Disk and horizontal line-segment filters [Technical Specification]
— Part 49: Morphological profile filters: Scale space techniques [Technical Specification]
— Part 60: Linear areal filters — Basic concepts
— Part 61: Linear areal filters — Gaussian filters
— Part 71: Robust areal filters: Gaussian regression filters
iv © ISO 2014 – All rights reserved

---------------------- Page: 10 ----------------------

SIST EN ISO 16610-71:2014
ISO 16610-71:2014(E)

— Part 85: Areal Morphological: Segmentation
The following parts are planned:
— Part 26: Linear profile filters: Filtration on nominally orthogonal grid planar data sets
— Part 27: Linear profile filters: Filtration on nominally orthogonal grid cylindrical data sets
— Part 42: Morphological profile filters: Motif filters
— Part 62: Linear areal filters: Spline filters
— Part 69: Linear areal filters: Spline wavelets
— Part 70: Robust areal filters: Basic concepts
— Part 72: Robust areal filters: Spline filters
— Part 80: Morphological areal filters: Basic concepts
— Part 81: Morphological areal filters: Sphere and horizontal planar segment filters
— Part 82: Morphological areal filters: Motif filters
— Part 89: Morphological areal filters: Scale space techniques
© ISO 2014 – All rights reserved v

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SIST EN ISO 16610-71:2014
ISO 16610-71:2014(E)

Introduction
This part of ISO 16610 is a Geometrical Product Specification (GPS) standard and is to be regarded as a
Global 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/TR 14638 gives an overview of the ISO/GPS system of which
this standard is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this standard and
the default decision rules given in ISO 14253-1 apply to specifications made in accordance with this
standard, unless otherwise indicated.
For more detailed information of the relation of this document to the GPS matrix model, see Annex C.
This part of ISO 16610 specifies the metrological characteristics of robust areal Gaussian regression
filters, for the rotationally symmetric filtration of nominal planar surfaces and the filtration of nominal
cylindrical surfaces.
The filter is insensitive against specific phenomena in the input data (e.g. spike discontinuities as well as
deep valleys and high peaks, etc.). The boundaries of the measured surface are still usable.
vi © ISO 2014 – All rights reserved

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SIST EN ISO 16610-71:2014
INTERNATIONAL STANDARD ISO 16610-71:2014(E)
Geometrical product specifications (GPS) — Filtration —
Part 71:
Robust areal filters: Gaussian regression filters
1 Scope
This part of ISO 16610 specifies the characteristics of the robust areal Gaussian regression filter for the
evaluation of surfaces that may contain spike discontinuities as well as deep valleys and high peaks. It
specifies in particular how to separate large scale lateral components and short scale lateral components
of a surface.
2 Normative references
The following documents, in whole or in part, are normatively referenced in this document and are
indispensable for its application. For dated references, only the edition cited applies. For undated
references, the latest edition of the referenced document (including any amendments) applies.
ISO 16610-1, Geometrical product specifications (GPS) — Filtration — Part 1: Overview and basic concepts
1)
ISO 16610-30:— , Geometrical product specifications (GPS) — Filtration — Part 30: Robust profile filters:
Basic concepts
ISO/IEC Guide 99, International vocabulary of metrology — Basic and general concepts and associated
terms (VIM)
ISO/IEC Guide 98-3, Uncertainty of measurement — Part 3: Guide to the expression of uncertainty in
measurement (GUM:1995)
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 16610-1, ISO 16610-30,
ISO/IEC Guide 99 and ISO/IEC Guide 98-3 and the following apply.
3.1
robust planar filter
non linear areal filter to separate a planar surface with specific phenomena (e.g. spike discontinuities
as well as deep valleys and high peaks etc.) into large scale lateral components and short scale lateral
components
3.2
robust cylindrical filter
non linear areal filter to separate a cylindrical surface with specific phenomena (e.g. spike discontinuities
as well as deep valleys and high peaks etc.) into large scale lateral components and short scale lateral
components
1) To be published. (Revision of ISO/TS 16610-30:2009)
© ISO 2014 – All rights reserved 1

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SIST EN ISO 16610-71:2014
ISO 16610-71:2014(E)

3.3
biweight function
asymmetric influence function defined by
2

2
 
u
 

 
u 1− for uc≤
 
ψ uc, = (1)
()
  
B c
 
 

0 for uc>


where c is the real scale parameter and u is a real number
Note 1 to entry: See ISO 16610-30:—, Figure 4.
3.4
robust areal regression filter
weighted M–estimator based on the areal local complete polynomial modelling of the surface
Note 1 to entry: See ISO 16610-30 for the definition of the weighted M-estimator.
Note 2 to entry: See Annex A for the mathematical definition of the robust areal regression filter.
3.5
robus
...

SLOVENSKI STANDARD
oSIST prEN ISO 16610-71:2012
01-junij-2012
*HRPHWULþQDVSHFLILNDFLMDL]GHOND)LOWULUDQMHGHO*URERSRYUãLQVNLILOWUL
*DXVVRYLUHJUHVLMVNLILOWUL ,62',6
Geometrical product specifications (GPS) - Filtration - Part 71: Robust areal filters:
Gaussian regression filters (ISO/DIS 16610-71:2012)
Spécification géométrique des produits (GPS) - Filtrage - Partie 71: Filtres surfaciques
robustes: Filtres de régressions gaussiens (ISO/DIS 16610-71:2012)
Ta slovenski standard je istoveten z: prEN ISO 16610-71
ICS:
17.040.20 Lastnosti površin Properties of surfaces
oSIST prEN ISO 16610-71:2012 en,fr
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

---------------------- Page: 1 ----------------------
oSIST prEN ISO 16610-71:2012

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oSIST prEN ISO 16610-71:2012


EUROPEAN STANDARD
DRAFT
prEN ISO 16610-71
NORME EUROPÉENNE

EUROPÄISCHE NORM

March 2012
ICS 17.040.20
English Version
Geometrical product specifications (GPS) - Filtration - Part 71:
Robust areal filters: Gaussian regression filters (ISO/DIS 16610-
71:2012)
Spécification géométrique des produits (GPS) - Filtrage -
Partie 71: Filtres surfaciques robustes: Filtres de
régressions gaussiens (ISO/DIS 16610-71:2012)
This draft European Standard is submitted to CEN members for parallel enquiry. It has been drawn up by the Technical Committee
CEN/TC 290.

If this draft becomes a European Standard, CEN members are bound to comply with the CEN/CENELEC Internal Regulations which
stipulate the conditions for giving this European Standard the status of a national standard without any alteration.

This draft European Standard was established by CEN in three official versions (English, French, German). A version in any other language
made by translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management
Centre has the same status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, 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, Turkey and United Kingdom.

Recipients of this draft are invited to submit, with their comments, notification of any relevant patent rights of which they are aware and to
provide supporting documentation.

Warning : This document is not a European Standard. It is distributed for review and comments. It is subject to change without notice and
shall not be referred to as a European Standard.


EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

Management Centre: Avenue Marnix 17, B-1000 Brussels
© 2012 CEN All rights of exploitation in any form and by any means reserved Ref. No. prEN ISO 16610-71:2012: E
worldwide for CEN national Members.

---------------------- Page: 3 ----------------------
oSIST prEN ISO 16610-71:2012
prEN ISO 16610-71:2012 (E)
Contents Page
Foreword .3

2

---------------------- Page: 4 ----------------------
oSIST prEN ISO 16610-71:2012
prEN ISO 16610-71:2012 (E)
Foreword
This document (prEN ISO 16610-71:2012) has been prepared by Technical Committee ISO/TC 213
“Dimensional and geometrical product specifications and verification” in collaboration with Technical
Committee CEN/TC 290 “Dimensional and geometrical product specification and verification” the secretariat of
which is held by AFNOR.
This document is currently submitted to the parallel Enquiry.
Endorsement notice
The text of ISO/DIS 16610-71:2012 has been approved by CEN as a prEN ISO 16610-71:2012 without any
modification.

3

---------------------- Page: 5 ----------------------
oSIST prEN ISO 16610-71:2012

---------------------- Page: 6 ----------------------
oSIST prEN ISO 16610-71:2012

DRAFT INTERNATIONAL STANDARD ISO/DIS 16610-71
ISO/TC 213 Secretariat: DS
Voting begins on Voting terminates on

2012-03-29 2012-08-29
INTERNATIONAL ORGANIZATION FOR STANDARDIZATION  •  МЕЖДУНАРОДНАЯ ОРГАНИЗАЦИЯ ПО СТАНДАРТИЗАЦИИ  •  ORGANISATION INTERNATIONALE DE NORMALISATION


Geometrical product specifications (GPS) — Filtration —
Part 71:
Robust areal filters: Gaussian regression filters
Spécification géométrique des produits (GPS) — Filtrage —
Partie 71: Filtres surfaciques robustes: Filtres de régressions gaussiens
ICS 17.040.20








ISO/CEN PARALLEL PROCESSING
This draft has been developed within the International Organization for Standardization (ISO), and
processed under the ISO-lead mode of collaboration as defined in the Vienna Agreement.
This draft is hereby submitted to the ISO member bodies and to the CEN member bodies for a parallel
five-month enquiry.
Should this draft be accepted, a final draft, established on the basis of comments received, will be
submitted to a parallel two-month approval vote in ISO and formal vote in CEN.

To expedite distribution, this document is circulated as received from the committee
secretariat. ISO Central Secretariat work of editing and text composition will be undertaken at
publication stage.
Pour accélérer la distribution, le présent document est distribué tel qu'il est parvenu du
secrétariat du comité. Le travail de rédaction et de composition de texte sera effectué au
Secrétariat central de l'ISO au stade de publication.



THIS DOCUMENT IS A DRAFT CIRCULATED FOR COMMENT AND APPROVAL. IT IS THEREFORE SUBJECT TO CHANGE AND MAY NOT BE
REFERRED TO AS AN INTERNATIONAL STANDARD UNTIL PUBLISHED AS SUCH.
IN ADDITION TO THEIR EVALUATION AS BEING ACCEPTABLE FOR INDUSTRIAL, TECHNOLOGICAL, COMMERCIAL AND USER PURPOSES, DRAFT
INTERNATIONAL STANDARDS MAY ON OCCASION HAVE TO BE CONSIDERED IN THE LIGHT OF THEIR POTENTIAL TO BECOME STANDARDS TO
WHICH REFERENCE MAY BE MADE IN NATIONAL REGULATIONS.
RECIPIENTS OF THIS DRAFT ARE INVITED TO SUBMIT, WITH THEIR COMMENTS, NOTIFICATION OF ANY RELEVANT PATENT RIGHTS OF WHICH
THEY ARE AWARE AND TO PROVIDE SUPPORTING DOCUMENTATION.
©  International Organization for Standardization, 2012

---------------------- Page: 7 ----------------------
oSIST prEN ISO 16610-71:2012
ISO/DIS 16610-71

Copyright notice
This ISO document is a Draft International Standard and is copyright-protected by ISO. Except as permitted
under the applicable laws of the user’s country, neither this ISO draft nor any extract from it may be
reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic,
photocopying, recording or otherwise, without prior written permission being secured.
Requests for permission to reproduce should be addressed to either ISO at the address below or ISO’s
member body in the country of the requester.
ISO copyright office
Case postale 56 • CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail copyright@iso.org
Web www.iso.org
Reproduction may be subject to royalty payments or a licensing agreement.
Violators may be prosecuted.

ii © ISO 2012 – All rights reserved

---------------------- Page: 8 ----------------------
oSIST prEN ISO 16610-71:2012
ISO/DIS 16610-71
Contents Page
Foreword .iv
Introduction.vi
1 Scope.1
2 Normative references.1
3 Terms and definitions .1
4 Robust planar Gaussian regression filter.2
4.1 General .2
4.2 Weighting function.2
4.3 Filter equation.2
4.4 Transmission characteristics.4
5 Robust cylindrical Gaussian regression filter.5
5.1 General .5
5.2 Weighting function.5
5.3 Filter equation.5
5.4 Transmission characteristics.7
6 Recommendations .7
6.1 Nesting Index for planar and cylinder surfaces .7
7 Filter designation.7
Annex A (informative) Regression filter .8
Annex B (informative) Examples .10
Annex C (informative) Relation to the filtration matrix model.14
Annex D (informative) Relation to the GPS matrix model.16
Bibliography.17

© ISO 2012 – All rights reserved iii

---------------------- Page: 9 ----------------------
oSIST prEN ISO 16610-71:2012
ISO/DIS 16610-71
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.
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 16610-71 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification.
ISO 16610 consists of the following parts, under the general title Geometrical Product Specification (GPS) —
Filtration:
⎯ Part 1: Overview and basic concepts [Technical Specification]
⎯ Part 20: Linear profile filters: Basic concepts [Technical Specification]
⎯ Part 21: Linear profile filters: Gaussian filters
⎯ Part 22: Linear profile filters: Spline filters [Technical Specification]
⎯ Part 28: Profile filters: End effects [Technical Specification]
⎯ Part 29: Linear profile filters: Spline wavelets [Technical Specification]
⎯ Part 30: Robust profile filters: Basic concepts [Technical Specification]
⎯ Part 31: Robust profile filters: Gaussian regression filters [Technical Specification]
⎯ Part 32: Robust profile filters: Spline filters [Technical Specification]
⎯ Part 40: Morphological profile filters: Basic concepts [Technical Specification]
⎯ Part 41: Morphological profile filters: Disk and horizontal line-segment filters [Technical Specification]
⎯ Part 49: Morphological profile filters: Scale space techniques [Technical Specification]
⎯ Part 71: Robust areal filters: Gaussian regression filters
⎯ Part 85: Areal Morphological: Segmentation
The following parts are planned:
iv © ISO 2012 – All rights reserved

---------------------- Page: 10 ----------------------
oSIST prEN ISO 16610-71:2012
ISO/DIS 16610-71
⎯ Part 26: Linear profile filters: Filtration on nominally orthogonal grid planar data sets
⎯ Part 27: Linear profile filters: Filtration on nominally orthogonal grid cylindrical data sets
⎯ Part 42: Morphological profile filters: Motif filters
⎯ Part 60: Linear areal filters: Basic concepts
⎯ Part 61: Linear areal filters: Gaussian filters
⎯ Part 62: Linear areal filters: Spline filters
⎯ Part 69: Linear areal filters: Spline wavelets
⎯ Part 70: Robust areal filters: Basic concepts
⎯ Part 72: Robust areal filters: Spline filters
⎯ Part 80: Morphological areal filters: Basic concepts
⎯ Part 81: Morphological areal filters: Sphere and horizontal planar segment filters
⎯ Part 82: Morphological areal filters: Motif filters
⎯ Part 89: Morphological areal filters: Scale space techniques
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oSIST prEN ISO 16610-71:2012
ISO/DIS 16610-71
Introduction
This part of ISO 16610 is a Geometrical Product Specification (GPS) standard and is to be regarded as a
Global 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/TR 14638 gives an overview of the ISO/GPS system of which this
standard is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this standard and the default
decision rules given in ISO 14253-1 apply to specifications made in accordance with this standard, unless
otherwise indicated.
For more detailed information of the relation of this document to the GPS matrix model see Annex C.
This part of ISO 16610 specifies the metrological characteristics of robust areal Gaussian regression filters, for
the rotationally symmetric filtration of nominal planar surfaces and the filtration of nominal cylindrical surfaces.
The filter is insensitive against specific phenomena in the input data (e.g. spike discontinuities as well as deep
valleys and high peaks etc.). The boundaries of the measured surface are still usable.


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oSIST prEN ISO 16610-71:2012
DRAFT INTERNATIONAL STANDARD ISO/DIS 16610-71

Geometrical product specifications (GPS) — Filtration —
Part 71:
Robust areal filters: Gaussian regression filters
1 Scope
This part of ISO/TS 16610 specifies the characteristics of the robust areal Gaussian regression filter for the
evaluation of surfaces that may contain spike discontinuities as well as deep valleys and high peaks. It
specifies in particular how to separate large scale lateral components and short scale lateral components of a
surface.
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 16610-1:2006, Geometrical Product Specification (GPS) – Filtration – Part 1: Overview and basic
terminology
ISO/TS 16610-30:2009, Geometrical Product Specification (GPS) – Filtration – Part 30: Robust profile filters:
basic concepts
ISO/TS 16610-31:2010, Geometrical Product Specification (GPS) – Filtration – Part 31: Robust profile filters:
Gaussian Regression Filters
ISO/IEC Guide 99:2007 International vocabulary of metrology – Basic and general concepts and associated
terms (VIM)
ISO/IEC Guide 98-3:2008 Uncertainty of measurement – Part 3: Guide to the expression of uncertainty in
measurement (GUM:1995)
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO/TS 16610-1, ISO/TS 16610-30, VIM
and GUM and the following apply.
3.1
robust planar filters
non linear areal filter to separate a planar surface with specific phenomena (e.g. spike discontinuities as well
as deep valleys and high peaks etc.) into large scale lateral components and short scale lateral components
3.2
robust cylindrical filters
non linear areal filter to separate a cylindrical surface with specific phenomena (e.g. spike discontinuities as
well as deep valleys and high peaks etc.) into large scale lateral components and short scale lateral
components
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oSIST prEN ISO 16610-71:2012
ISO/DIS 16610-71
3.3
biweight function
asymmetric influence function defined by
2

2
⎛⎞
u
⎛⎞

⎜⎟
uu×−1for ≤c

⎜⎟
ψ uc, =
() ⎜⎟c (1)

B ⎝⎠
⎝⎠

⎪ 0for uc
...

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