SIST EN ISO 16610-62:2023
(Main)Geometrical product specifications (GPS) - Filtration - Part 62: Linear areal filters: Spline filters (ISO 16610-62:2023)
Geometrical product specifications (GPS) - Filtration - Part 62: Linear areal filters: Spline filters (ISO 16610-62:2023)
This new part of ISO 16610 specifies the characteristics of a linear areal spline filter with a global shape retainment. It is the areal extension of the linear profilometric spline filter as specified in ISO 16610-22.
Geometrische Produktspezifikation (GPS) - Filterung - Teil 62: Lineare Flächenfilter: Spline-Filter (ISO 16610-62:2023)
Dieses Dokument legt die Merkmale eines linearen Spline-Flächenfilters mit globalem Formerhalt fest.
Spécification géométrique des produits (GPS) - Filtrage - Partie 62: Filtres surfaciques linéaires : Filtres spline (ISO 16610-62:2023)
Le présent document spécifie les caractéristiques d'un filtre spline surfacique linéaire à maintien de forme global.
Specifikacija geometrijskih veličin izdelka (GPS) - Filtriranje - 62. del: Linearni ravni filtri: Utorni filtri (ISO 16610-62:2023)
Ta novi del standarda ISO 16610 določa lastnosti linearnih površinskih utornih filtrov s kroglastim zadrževanjem. Gre za površinsko razširitev linearnega profilometričnega utornega filtra, kot to določa standard ISO 16610-22.
General Information
Standards Content (Sample)
SLOVENSKI STANDARD
SIST EN ISO 16610-62:2023
01-maj-2023
Specifikacija geometrijskih veličin izdelka (GPS) - Filtriranje - 62. del: Linearni
ravni filtri: Utorni filtri (ISO 16610-62:2023)
Geometrical product specifications (GPS) - Filtration - Part 62: Linear areal filters: Spline
filters (ISO 16610-62:2023)
Geometrische Produktspezifikation (GPS) - Filterung - Teil 62: Lineare Flächenfilter:
Spline-Filter (ISO 16610-62:2023)
Spécification géométrique des produits (GPS) - Filtrage - Partie 62: Filtres surfaciques
linéaires : Filtres spline (ISO 16610-62:2023)
Ta slovenski standard je istoveten z: EN ISO 16610-62:2023
ICS:
17.040.20 Lastnosti površin Properties of surfaces
17.040.40 Specifikacija geometrijskih Geometrical Product
veličin izdelka (GPS) Specification (GPS)
SIST EN ISO 16610-62:2023 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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SIST EN ISO 16610-62:2023
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SIST EN ISO 16610-62:2023
EN ISO 16610-62
EUROPEAN STANDARD
NORME EUROPÉENNE
March 2023
EUROPÄISCHE NORM
ICS
English Version
Geometrical product specifications (GPS) - Filtration - Part
62: Linear areal filters: Spline filters (ISO 16610-62:2023)
Spécification géométrique des produits (GPS) - Filtrage Geometrische Produktspezifikation (GPS) - Filterung -
- Partie 62: Filtres surfaciques linéaires : Filtres spline Teil 62: Lineare Flächenfilter: Spline-Filter (ISO 16610-
(ISO 16610-62:2023) 62:2023)
This European Standard was approved by CEN on 3 February 2023.
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, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway,
Poland, Portugal, Republic of North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Türkiye and
United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels
© 2023 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 16610-62:2023 E
worldwide for CEN national Members.
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SIST EN ISO 16610-62:2023
EN ISO 16610-62:2023 (E)
Contents Page
European foreword . 3
2
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SIST EN ISO 16610-62:2023
EN ISO 16610-62:2023 (E)
European foreword
This document (EN ISO 16610-62:2023) 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 September 2023, and conflicting national standards
shall be withdrawn at the latest by September 2023.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN shall not be held responsible for identifying any or all such patent rights.
Any feedback and questions on this document should be directed to the users’ national standards
body/national committee. A complete listing of these bodies can be found on the CEN website.
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, France, Germany, Greece, Hungary, Iceland,
Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Republic of
North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Türkiye and the
United Kingdom.
Endorsement notice
The text of ISO 16610-62:2023 has been approved by CEN as EN ISO 16610-62:2023 without any
modification.
3
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SIST EN ISO 16610-62:2023
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SIST EN ISO 16610-62:2023
INTERNATIONAL ISO
STANDARD 16610-62
First edition
2023-02
Geometrical product specifications
(GPS) — Filtration —
Part 62:
Linear areal filters: spline filters
Spécification géométrique des produits (GPS ) — Filtrage —
Partie 62: Filtres surfaciques linéaires: filtres spline
Reference number
ISO 16610-62:2023(E)
© ISO 2023
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SIST EN ISO 16610-62:2023
ISO 16610-62:2023(E)
COPYRIGHT PROTECTED DOCUMENT
© ISO 2023
All rights reserved. Unless otherwise specified, or required in the context of its implementation, 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
CP 401 • Ch. de Blandonnet 8
CH-1214 Vernier, Geneva
Phone: +41 22 749 01 11
Email: copyright@iso.org
Website: www.iso.org
Published in Switzerland
ii
© ISO 2023 – All rights reserved
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SIST EN ISO 16610-62:2023
ISO 16610-62:2023(E)
Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Spline areal filter . 2
4.1 General . 2
4.2 Filter formula for cubic spline filter for topography maps on uniformly sampled
grids . 2
4.2.1 General . 2
4.2.2 Regularization parameter . 3
4.2.3 Tension parameter . 4
4.2.4 Matrices of differentiation P and Q . 4
4.3 Cubic spline filter for topography maps on distorted sampling grids . 5
4.3.1 General . 5
4.3.2 Filter formula modification for distorted grids . 5
4.4 Transmission characteristics . 6
5 Filter designation . . 7
Annex A (informative) Relationship to the filtration matrix model . 8
Annex B (informative) Relationship to the GPS matrix model. 9
Bibliography .10
iii
© ISO 2023 – All rights reserved
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SIST EN ISO 16610-62:2023
ISO 16610-62:2023(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 of the voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to
the World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT), see
www.iso.org/iso/foreword.html.
This document was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification, in collaboration with the European Committee for Standardization (CEN)
Technical Committee CEN/TC 290, Dimensional and geometrical product specification and verification, in
accordance with the Agreement on technical cooperation between ISO and CEN (Vienna Agreement).
A list of all parts in the ISO 16610 series can be found on the ISO website.
Any feedback or questions on this document should be directed to the user’s national standards body. A
complete listing of these bodies can be found at www.iso.org/members.html.
iv
© ISO 2023 – All rights reserved
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SIST EN ISO 16610-62:2023
ISO 16610-62:2023(E)
Introduction
This document is a geometrical product specification (GPS) standard and is to be regarded as a general
GPS standard (see ISO 14638). It influences chain link C on feature properties in the GPS matrix model.
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 specifications made in accordance with this
document, unless otherwise indicated.
For more information on the relationship of this document to the filtration matrix model, see Annex A.
For more detailed information of the relation of this document to other standards and the GPS matrix
model, see Annex B.
This document specifies the terminology and concepts for linear areal spline filters. It specifies how to
separate long- and short-wave components of a surface with a global shape retainment.
v
© ISO 2023 – All rights reserved
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SIST EN ISO 16610-62:2023
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SIST EN ISO 16610-62:2023
INTERNATIONAL STANDARD ISO 16610-62:2023(E)
Geometrical product specifications (GPS) — Filtration —
Part 62:
Linear areal filters: spline filters
1 Scope
This document specifies the characteristics of a linear areal spline filter with a global shape retainment.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements 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 16610-1, Geometrical product specifications (GPS) — Filtration — Part 1: Overview and basic concepts
ISO 16610-21, Geometrical product specifications (GPS) — Filtration — Part 21: Linear profile filters:
Gaussian filters
ISO 16610-22:2015, Geometrical product specifications (GPS) — Filtration — Part 22: Linear profile filters:
Spline filters
ISO 16610-60:2015, Geometrical product specification (GPS) — Filtration — Part 60: Linear areal filters
— Basic concepts
ISO 16610-61, Geometrical product specification (GPS) — Filtration — Part 61: Linear areal filters —
Gaussian filters
ISO/IEC Guide 99, International vocabulary of metrology — Basic and general concepts and associated
terms (VIM)
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 16610-1, ISO 16610-21,
ISO 16610-22, ISO 16610-60, ISO 16610-61 and ISO/IEC Guide 99 and the follo
...
SLOVENSKI STANDARD
oSIST prEN ISO 16610-62:2021
01-december-2021
Specifikacija geometrijskih veličin izdelka (GPS) - Filtriranje - 62. del: Linearni
ravni filtri: Utorni filtri (ISO/DIS 16610-62:2021)
Geometrical product specifications (GPS) - Filtration - Part 62: Linear areal filters: Spline
filters (ISO/DIS 16610-62:2021)
Geometrische Produktspezifikation (GPS) - Filterung- Teil 62: Lineare Flächenfilter:
Spline-Filter (ISO/DIS 16610 62:2021)
Spécification géométrique des produits (GPS) - Filtrage - Partie 62: Filtres surfaciques
linéaires : Filtres spline (ISO/DIS 16610-62:2021)
Ta slovenski standard je istoveten z: prEN ISO 16610-62
ICS:
17.040.20 Lastnosti površin Properties of surfaces
17.040.40 Specifikacija geometrijskih Geometrical Product
veličin izdelka (GPS) Specification (GPS)
oSIST prEN ISO 16610-62:2021 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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oSIST prEN ISO 16610-62:2021
---------------------- Page: 2 ----------------------
oSIST prEN ISO 16610-62:2021
DRAFT INTERNATIONAL STANDARD
ISO/DIS 16610-62
ISO/TC 213 Secretariat: BSI
Voting begins on: Voting terminates on:
2021-10-20 2022-01-12
Geometrical product specifications (GPS) — Filtration —
Part 62:
Linear areal filters: Spline filters
Spécification géométrique des produits (GPS ) — Filtrage —
Partie 62: Filtres surfaciques linéaires : Filtres spline
ICS: 17.040.20; 17.040.40
THIS DOCUMENT IS A DRAFT CIRCULATED
This document is circulated as received from the committee secretariat.
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
ISO/CEN PARALLEL PROCESSING
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
Reference number
NATIONAL REGULATIONS.
ISO/DIS 16610-62:2021(E)
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. ISO 2021
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oSIST prEN ISO 16610-62:2021
ISO/DIS 16610-62:2021(E)
COPYRIGHT PROTECTED DOCUMENT
© ISO 2021
All rights reserved. Unless otherwise specified, or required in the context of its implementation, 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
CP 401 • Ch. de Blandonnet 8
CH-1214 Vernier, Geneva
Phone: +41 22 749 01 11
Email: copyright@iso.org
Website: www.iso.org
Published in Switzerland
ii © ISO 2021 – All rights reserved
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oSIST prEN ISO 16610-62:2021
ISO/DIS 16610-62:2021(E)
Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Spline areal filter . 2
4.1 General . 2
4.2 Filter equation for cubic spline filter for topography maps on uniformly sampled grids . 2
4.2.1 General. 2
4.2.2 Regularization parameter . 3
4.2.3 Tension parameter . 3
4.2.4 Matrices of differentiation P and Q .4
4.3 Cubic spline filter for topography maps on distorted sampling grids. 4
4.3.1 General. 4
4.3.2 Filter equation modification for distorted grids . 5
4.4 Transmission characteristics . 5
Annex A (informative) Relationship to the filtration matrix model . 7
Annex B (informative) Relationship to the GPS matrix model . 8
Bibliography . 9
© ISO 2021 – All rights reserved iii
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oSIST prEN ISO 16610-62:2021
ISO/DIS 16610-62:2021(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 https:// www .iso .org/ directives -and -policies .html).
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 https:// www .iso .org/ iso -standards -and -patents
.html).
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 voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to the
World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT) see the following
URL: https:// www .iso .org/ foreword -supplementary -information .html.
This document was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification.
A list of all parts in the ISO 16610 series can be found on the ISO website.
Any feedback or questions on this document should be directed to the user’s national standards body. A
complete listing of these bodies can be found at www .iso .org/ members .html.
iv © ISO 2021 – All rights reserved
---------------------- Page: 6 ----------------------
oSIST prEN ISO 16610-62:2021
ISO/DIS 16610-62:2021(E)
Introduction
This document is a geometrical product specification (GPS) standard and is to be regarded as a general
GPS standard (see ISO 14638). It influences the feature characteristics and measurement chain links in
the GPS matrix structure.
The ISO/GPS masterplan 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.
For more detailed information of the relation of this document to other standards and the GPS matrix
model, see Annex B.
This document specifies the terminology and concepts for linear areal spline filters. It specifies how to
separate long and short wave components of a surface with a global shape retainment.
© ISO 2021 – All rights reserved v
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oSIST prEN ISO 16610-62:2021
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oSIST prEN ISO 16610-62:2021
DRAFT INTERNATIONAL STANDARD ISO/DIS 16610-62:2021(E)
Geometrical product specifications (GPS) — Filtration —
Part 62:
Linear areal filters: Spline filters
1 Scope
This document specifies the characteristics of a linear areal spline filter with a global shape retainment.
It is the areal extension of the linear profilometric spline filter as specified in ISO 16610-22.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements 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 16610-1, Geometrical product specifications (GPS) — Filtration — Part 1: Overview and basic concepts
ISO 16610-21, Geometrical product specifications (GPS) — Filtration — Part 21: Linear profile filters:
Gaussian filters
ISO 16610-22:2015, Geometrical product specifications (GPS) — Filtration — Part 22: Linear profile filters:
Spline filters
ISO 16610-60, Geometrical product specification (GPS) — Filtration — Part 60: Linear areal filters — Basic
concepts
ISO 16610-61, Geometrical product specification (GPS) — Filtration — Part 61: Linear areal filters —
Gaussian filters
ISO/IEC Guide 99, International vocabulary of metrology — Basic and general concepts and associated
terms (VIM)
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 16610-1, ISO 16610-21,
ISO 16610-22, ISO 16610-60, ISO 16610-61, ISO/IEC Guide 99 and the following apply
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— ISO Online browsing platform: available at https:// www .iso .org/ obp
— IEC Electropedia: available at https:// www .electropedia .org
3.1
spline
linear combination of piecewise polynomials, with a smooth fit between the pieces
[SOURCE: ISO 16610-22:2015, 3.1]
3.2
spline filter
linear filter based on splines
© ISO 2021 – All rights reserved 1
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oSIST prEN ISO 16610-62:2021
ISO/DIS 16610-62:2021(E)
3.3
linear areal filter
areal filter which separates surfaces into long wave and short wave components and is also a linear
function
[SOURCE: ISO 16610-60:2015, 3.1]
3.3.1
linear planar filter
linear areal filter (3.3) which separates planar surfaces into long wave and short wave components,
which applies to nominal planar surfaces
[SOURCE: ISO 16610-60:2015, 3.1.1]
3.3.2
linear cylindrical filter
linear areal filter (3.3) which separates cylindrical surfaces into long wave and short wave components,
which applies to nominal cylindrical surfaces
[SOURCE
...
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