EN ISO 16610-29:2020

SLOVENSKI STANDARD
01-julij-2020
Nadomešča:
SIST EN ISO 16610-29:2015
Specifikacija geometrijskih veličin izdelka (GPS) - Filtriranje - 29. del: Linearni
profilni filtri: valjčki (ISO 16610-29:2020)
Geometrical product specifications (GPS) - Filtration - Part 29: Linear profile filters:
Wavelets (ISO 16610-29:2020)
Geometrische Produktspezifikation (GPS) - Filterung - Teil 29: Lineare Profilfilter:
Wavelets (ISO 16610-29:2020)
Spécification géométrique des produits (GPS) - Filtrage - Partie 29: Filtres de profil
linéaires: Ondelettes (ISO 16610-29:2020)
Ta slovenski standard je istoveten z: EN ISO 16610-29:2020
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 16610-29
EUROPEAN STANDARD
NORME EUROPÉENNE
April 2020
EUROPÄISCHE NORM
ICS 17.040.20 Supersedes EN ISO 16610-29:2015
English Version
Geometrical product specifications (GPS) - Filtration - Part
29: Linear profile filters: Wavelets (ISO 16610-29:2020)
Spécification géométrique des produits (GPS) - Filtrage Geometrische Produktspezifikation (GPS) - Filterung -
- Partie 29: Filtres de profil linéaires: Ondelettes(ISO Teil 29: Lineare Profilfilter: Wavelets (ISO 16610-
16610-29:2020) 29:2020)
This European Standard was approved by CEN on 23 March 2020.

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, Turkey 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
© 2020 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 16610-29:2020 E
worldwide for CEN national Members.

Contents Page
European foreword . 3

European foreword
This document (EN ISO 16610-29:2020) 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 October 2020, and conflicting national standards shall
be withdrawn at the latest by October 2020.
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.
This document supersedes EN ISO 16610-29:2015.
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, Turkey and the
United Kingdom.
Endorsement notice
The text of ISO 16610-29:2020 has been approved by CEN as EN ISO 16610-29:2020 without any
modification.
INTERNATIONAL ISO
STANDARD 16610-29
Second edition
2020-04
Geometrical product specifications
(GPS) — Filtration —
Part 29:
Linear profile filters: wavelets
Spécification géométrique des produits (GPS) — Filtrage —
Partie 29: Filtres de profil linéaires: ondelettes
Reference number
ISO 16610-29:2020(E)
©
ISO 2020
ISO 16610-29:2020(E)
© ISO 2020
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
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Published in Switzerland
ii © ISO 2020 – All rights reserved

ISO 16610-29:2020(E)
Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 General wavelet description . 4
4.1 General . 4
4.2 Basic usage of wavelets . 4
4.3 Wavelet transform. 4
4.4 Biorthogonal wavelets . 5
4.4.1 General. 5
4.4.2 Cubic prediction wavelets . 6
4.4.3 Cubic b-spline wavelets . . 6
5 Filter designation. 6
Annex A (normative) Cubic prediction wavelets . 7
Annex B (normative) Cubic b-spline wavelets .15
Annex C (informative) Relationship to the filtration matrix model .18
Annex D (informative) Relation to the GPS matrix model .19
Bibliography .20
ISO 16610-29:2020(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).
This second edition cancels and replaces the first edition (ISO 16610-29:2015), which has been
technically revised.
The main changes compared to the previous edition are as follows:
— The terminology and requirements around wavelets have been clarified and expanded to cover
biorthogonal wavelets more fully.
— The requirements for cubic prediction wavelets are set out in Annex A.
— The requirements for cubic b-spline wavelets are given in Annex B.
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 2020 – All rights reserved

ISO 16610-29:2020(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 links C and F of the chains of standards on profile and
areal surface texture.
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 the specifications made in accordance with this
document, unless otherwise indicated.
For more detailed information on the relation of this document to other standards and the GPS matrix
model, see Annex D.
This document develops the terminology and concepts for wavelets.
INTERNATIONAL STANDARD ISO 16610-29:2020(E)
Geometrical product specifications (GPS) — Filtration —
Part 29:
Linear profile filters: wavelets
1 Scope
This document specifies biorthogonal wavelets for profiles and contains the relevant concepts. It gives
the basic terminology for biorthogonal wavelets of compact support, together with their usage.
2 Normative references
The following documents are referred to in the text in such a way that
...