SIST EN ISO 16610-22:2015
(Main)Geometrical product specifications (GPS) - Filtration - Part 22: Linear profile filters: Spline filters (ISO 16610-22:2015)
Geometrical product specifications (GPS) - Filtration - Part 22: Linear profile filters: Spline filters (ISO 16610-22:2015)
This part of ISO 16610 specifies spline filters for the filtration of profiles. It specifies in particular how to
separate the long and short wave component of a profile
Geometrische Produktspezifikation (GPS) - Filterung - Teil 22: Lineare Profilfilter: Spline-Filter (ISO 16610-22:2015)
Spécification géométrique des produits (GPS) - Filtrage - Partie 22: Filtres de profil linéaires: Filtres splines (ISO 16610-22:2015)
L'ISO 16610-22:2015 définit les filtres splines pour le filtrage des profils. Elle précise en particulier la méthode qui permet de séparer les composantes d'un profil à longueurs d'onde courte et longue.
Specifikacija geometrijskih veličin izdelka (GPS) - Filtriranje - 22. del: Filtri linearnih profilov: utorni filtri (ISO 16610-22:2015)
Ta del standarda ISO 16610 določa utorne filtre za filtriranje profilov. Zlasti določa, kako ločiti dolgovalovne in kratkovalovne dele profila.
General Information
Standards Content (Sample)
SLOVENSKI STANDARD
SIST EN ISO 16610-22:2015
01-oktober-2015
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND *36 )LOWULUDQMHGHO )LOWUL
OLQHDUQLKSURILORY XWRUQLILOWUL ,62
Geometrical product specifications (GPS) - Filtration - Part 22: Linear profile filters:
Spline filters (ISO 16610-22:2015)
Spécification géométrique des produits (GPS) - Filtrage - Partie 22: Filtres de profil
linéaires: Filtres splines (ISO 16610-22:2015)
Ta slovenski standard je istoveten z: EN ISO 16610-22:2015
ICS:
17.040.20 Lastnosti površin Properties of surfaces
SIST EN ISO 16610-22:2015 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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SIST EN ISO 16610-22:2015
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SIST EN ISO 16610-22:2015
EUROPEAN STANDARD
EN ISO 16610-22
NORME EUROPÉENNE
EUROPÄISCHE NORM
July 2015
ICS 17.040.20
English Version
Geometrical product specifications (GPS) - Filtration - Part 22:
Linear profile filters: Spline filters (ISO 16610-22:2015)
Spécification géométrique des produits (GPS) - Filtrage -
Partie 22: Filtres de profil linéaires: Filtres splines (ISO
16610-22:2015)
This European Standard was approved by CEN on 7 May 2015.
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
© 2015 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 16610-22:2015 E
worldwide for CEN national Members.
---------------------- Page: 3 ----------------------
SIST EN ISO 16610-22:2015
EN ISO 16610-22:2015 (E)
Contents Page
European foreword .3
2
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SIST EN ISO 16610-22:2015
EN ISO 16610-22:2015 (E)
European foreword
This document (EN ISO 16610-22:2015) 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 January 2016, and conflicting national standards shall be withdrawn at
the latest by January 2016.
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 16610-22:2015 has been approved by CEN as EN ISO 16610-22:2015 without any
modification.
3
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SIST EN ISO 16610-22:2015
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SIST EN ISO 16610-22:2015
INTERNATIONAL ISO
STANDARD 16610-22
First edition
2015-07-01
Geometrical product specifications
(GPS) — Filtration —
Part 22:
Linear profile filters: Spline filters
Spécification géométrique des produits (GPS) — Filtrage —
Partie 22: Filtres de profil linéaires: Filtres splines
Reference number
ISO 16610-22:2015(E)
©
ISO 2015
---------------------- Page: 7 ----------------------
SIST EN ISO 16610-22:2015
ISO 16610-22:2015(E)
COPYRIGHT PROTECTED DOCUMENT
© ISO 2015, Published in Switzerland
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
Ch. de Blandonnet 8 • CP 401
CH-1214 Vernier, Geneva, Switzerland
Tel. +41 22 749 01 11
Fax +41 22 749 09 47
copyright@iso.org
www.iso.org
ii © ISO 2015 – All rights reserved
---------------------- Page: 8 ----------------------
SIST EN ISO 16610-22:2015
ISO 16610-22:2015(E)
Contents Page
Foreword .iv
Introduction .vi
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Spline profile filters . 2
4.1 General . 2
4.2 Weighting function . 2
4.3 Filter equations . 2
4.3.1 General. 2
4.3.2 Filter equation for the non-periodic spline profile filter . 3
4.3.3 Filter equation for the periodic spline profile filter . 4
4.4 Transmission characteristics . 4
4.4.1 General. 4
4.4.2 Transmission characteristic of the long-wave profile component . 5
4.4.3 Transmission characteristic of the short-wave profile component . 5
5 Recommendations . 6
5.1 Nesting index (cut-off values) . 6
5.2 Tension parameter (β) . 6
5.3 Implementation . 6
6 Filter designation. 7
Annex A (informative) Influence of the sampling interval . 8
Annex B (informative) Comparison of spline profile filter and Gaussian filter .9
Annex C (informative) Illustrative examples.10
Annex D (informative) Concept diagram .14
Annex E (informative) Relationship to the filtration matrix model .15
Annex F (informative) Relationship to the GPS matrix model .16
Bibliography .18
© ISO 2015 – All rights reserved iii
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SIST EN ISO 16610-22:2015
ISO 16610-22:2015(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.
This first edition of ISO 16610-22 cancels and replaces ISO/TS 16610-22:2006, which has been
technically revised.
ISO 16610 consists of the following parts, under the general title Geometrical product specifications
(GPS) — Filtration:
— Part 1: Overview and basic concepts
— Part 20: Linear profile filters: Basic concepts
— Part 21: Linear profile filters: Gaussian filters
— Part 22: Linear profile filters: Spline filters
— Part 28: Profile filters: End effects
— Part 29: Linear profile filters: Spline wavelets
— Part 30: Robust profile filters: Basic concepts
— Part 31: Robust profile filters: Gaussian regression filters
— Part 32: Robust profile filters: Spline filters
— Part 40: Morphological profile filters: Basic concepts
— Part 41: Morphological profile filters: Disk and horizontal line-segment filters
— Part 49: Morphological profile filters: Scale space techniques
— Part 60: Linear areal filters: Basic concepts
iv © ISO 2015 – All rights reserved
---------------------- Page: 10 ----------------------
SIST EN ISO 16610-22:2015
ISO 16610-22:2015(E)
— Part 61: Linear areal filters: Gaussian filters
— Part 71: Robust areal filters: Gaussian regression filters
— Part 85: Morphological areal filters: 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 45: Morphological profile filters: Segmentation
— 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 89: Morphological areal filters: Scale space techniques
© ISO 2015 – All rights reserved v
---------------------- Page: 11 ----------------------
SIST EN ISO 16610-22:2015
ISO 16610-22:2015(E)
Introduction
This part of ISO 16610 is a geometrical product specification (GPS) standard and is to be regarded as
a general GPS standard (see ISO/TR 14638). It influences the feature characteristics and measurement
chain links 3 and 5 in the GPS matrix structure.
The ISO/GPS Masterplan given in ISO/TR 14638 gives an overview of the ISO/GPS system of which this
part of ISO 16610 is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this part of
ISO 16610 and the default decision rules given in ISO 14253-1 apply to specifications made in accordance
with this part of ISO 16610, unless otherwise indicated.
For more detailed information about the relation of this part of ISO 16610 to the GPS matrix model, see
Annex F.
This part of ISO 16610 develops the terminology and concepts of spline filters.
The spline filter has an advantage over a conventional phase correct filter in that for open profiles, the
ends of the measured profile are still usable.
vi © ISO 2015 – All rights reserved
---------------------- Page: 12 ----------------------
SIST EN ISO 16610-22:2015
INTERNATIONAL STANDARD ISO 16610-22:2015(E)
Geometrical product specifications (GPS) — Filtration —
Part 22:
Linear profile filters: Spline filters
1 Scope
This part of ISO 16610 specifies spline filters for the filtration of profiles. It specifies in particular how
to separa
...
SLOVENSKI STANDARD
kSIST FprEN ISO 16610-22:2015
01-maj-2015
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND *36 )LOWULUDQMHGHO )LOWUL
OLQHDUQLKSURILORY XWRUQLILOWUL ,62)',6
Geometrical product specifications (GPS) - Filtration - Part 22: Linear profile filters:
Spline filters (ISO/FDIS 16610-22:2015)
Spécification géométrique des produits (GPS) - Filtrage - Partie 22: Filtres de profil
linéaires: Filtres splines (ISO/FDIS 16610-22:2015)
Ta slovenski standard je istoveten z: FprEN ISO 16610-22
ICS:
17.040.20 Lastnosti površin Properties of surfaces
kSIST FprEN ISO 16610-22:2015 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
---------------------- Page: 1 ----------------------
kSIST FprEN ISO 16610-22:2015
---------------------- Page: 2 ----------------------
kSIST FprEN ISO 16610-22:2015
FINAL
INTERNATIONAL ISO/FDIS
DRAFT
STANDARD 16610-22
ISO/TC 213
Geometrical product specifications
Secretariat: DS
(GPS) — Filtration —
Voting begins
on: 201 5-02-05
Part 22:
Voting terminates
Linear profile filters: Spline filters
on: 201 5-04-05
Spécification géométrique des produits (GPS) — Filtrage —
Partie 22: Filtres de profil linéaires: Filtres splines
Please see the administrative notes on page iii
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 SUPPOR TING
DOCUMENTATION.
IN ADDITION TO THEIR EVALUATION AS
Reference number
BEING ACCEPTABLE FOR INDUSTRIAL, TECHNO-
ISO/FDIS 16610-22:2014(E)
LOGICAL, COMMERCIAL AND USER PURPOSES,
DRAFT INTERNATIONAL STANDARDS MAY ON
OCCASION HAVE TO BE CONSIDERED IN THE
LIGHT OF THEIR POTENTIAL TO BECOME STAN-
DARDS TO WHICH REFERENCE MAY BE MADE IN
©
NATIONAL REGULATIONS. ISO 2014
---------------------- Page: 3 ----------------------
kSIST FprEN ISO 16610-22:2015
ISO/FDIS 16610-22:2014(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: 4 ----------------------
kSIST FprEN ISO 16610-22:2015
ISO/FDIS 16610-22:2014(E)
ISO/CEN PARALLEL PROCESSING
This final draft has been developed within the International Organization for Standardization (ISO), and pro-
cessed under the ISO-lead mode of collaboration as defined in the Vienna Agreement. The final draft was
established on the basis of comments received during a parallel enquiry on the draft.
This final draft is hereby submitted to the ISO member bodies and to the CEN member bodies for a parallel
two-month approval vote in ISO and formal vote in CEN.
Positive votes shall not be accompanied by comments.
Negative votes shall be accompanied by the relevant technical reasons.
© ISO 2014 – All rights reserved iii
---------------------- Page: 5 ----------------------
kSIST FprEN ISO 16610-22:2015
ISO/FDIS 16610-22:2014(E)
Contents Page
Foreword .v
Introduction .vii
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Spline profile filters . 2
4.1 General . 2
4.2 Weighting function . 2
4.3 Filter equations . 3
4.3.1 General. 3
4.3.2 Filter equation for the non-periodic spline profile filter . 4
4.3.3 Filter equation for the periodic spline profile filter . 5
4.4 Transmission characteristics . 5
4.4.1 General. 5
4.4.2 Transmission characteristic of the long-wave profile component . 6
4.4.3 Transmission characteristic of the short-wave profile component . 6
5 Recommendations . 7
5.1 Nesting Index (cut-off values) . 7
5.2 Tension parameter (β) . 7
5.3 Implementation . 8
6 Filter designation. 8
Annex A (informative) Influence of the sampling interval . 9
Annex B (informative) Comparison of spline profile filter and Gaussian filter .10
Annex C (informative) Illustrative examples.11
Annex D (informative) Concept diagram .15
Annex E (informative) Relationship to the filtration matrix model .16
Annex F (informative) Relationship to the GPS matrix model
.17
Bibliography .19
iv © ISO 2014 – All rights reserved
---------------------- Page: 6 ----------------------
kSIST FprEN ISO 16610-22:2015
ISO/FDIS 16610-22:2014(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.
This edition cancels and replaces ISO/TS 16610-22:2006, which has been technically revised.
ISO 16610 consists of the following parts, under the general title Geometrical product specifications
(GPS) — Filtration:
— Part 1: Overview and basic concepts
— Part 20: Linear profile filters: Basic concepts
— Part 21: Linear profile filters: Gaussian filters
— Part 22: Linear profile filters: Spline filters
— Part 28: Profile filters: End effects
— Part 29: Linear profile filters: Spline wavelets
— Part 30: Robust profile filters: Basic concepts
— Part 31: Robust profile filters: Gaussian regression filters
— Part 32: Robust profile filters: Spline filters
— Part 40: Morphological profile filters: Basic concepts
— Part 41: Morphological profile filters: Disk and horizontal line-segment filters
— Part 49: Morphological profile filters: Scale space techniques
— Part 60: Linear areal filters: Basic concepts
— Part 61: Linear areal filters: Gaussian filters
© ISO 2014 – All rights reserved v
---------------------- Page: 7 ----------------------
kSIST FprEN ISO 16610-22:2015
ISO/FDIS 16610-22:2014(E)
— Part 71: Robust areal filters: Gaussian regression filters
— Part 85: Morphological areal filters: 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 45: Morphological profile filters: Segmentation
— 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 89: Morphological areal filters: Scale space techniques
vi © ISO 2014 – All rights reserved
---------------------- Page: 8 ----------------------
kSIST FprEN ISO 16610-22:2015
ISO/FDIS 16610-22:2014(E)
Introduction
This part of ISO 16610 is a geometrical product specification (GPS) standard and is to be regarded as
a general GPS standard (see ISO/TR 14638). It influences the feature characteristics and measurement
chain links 3 and 5 in the GPS matrix structure.
The ISO/GPS Masterplan given in ISO/TR 14638 gives an overview of the ISO/GPS system of which this
part of ISO 16610 is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this part of
ISO 16610 and the default decision rules given in ISO 14253-1 apply to specifications made in accordance
with this part of ISO 1660, unless otherwise indicated.
For more detailed information about the relation of this part of ISO 16610 to the GPS matrix model, see
Annex F.
This part of ISO 16610 develops the terminology and concepts of spline filters.
The spline filter has an advantage over a conventional phase correct filter in that for open profiles, the
ends of the measured profile are still usable.
© ISO 2014 – All rights reserved vii
---------------------- Page: 9 ----------------------
kSIST FprEN ISO 16610-22:2015
---------------------- Page: 10 ----------------------
kSIST FprEN ISO 16610-22:2015
FINAL DRAFT INTERNATIONAL STANDARD ISO/FDIS 16610-22:2014(E)
Geometrical product specifications (GPS) — Filtration —
Part 22:
Linear profile filters: Spline filters
1 Scope
This part of ISO 16610 specifies spline filters for the filtration of profiles. It specifies in particular how
to separate the long- and short-wave component of a profile.
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.
1)
ISO 16610-1 , Geometrical product specifications (GPS) — Filtration — Part 1: Overview and basic terminology
2)
ISO 16610-20 , Geometrical product specifications (GPS) — Filtration — Part 20: Linear profile filters:
Basic concepts
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/IEC Guide 99:2007 (VIM),
ISO 16610-1, and ISO 16610-20 and the following apply.
3.1
spline
linear combination of piecewise polynomials, with a smooth fit between the pieces
Note 1 to entry: The degree of the spline is equal to the degree of the polynomial of the highest degree used, e.g. a
cubic spline is made of cubic polynomials.
3.2
cardinal spline
basic function of the space of splines (3.1) with infinite supp
...
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