EN ISO 16610-62:2023

SLOVENSKI STANDARD
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)
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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.

Contents Page
European foreword . 3

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.
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 16610-62:2023(E)
© 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 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 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 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
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
...