《DD-ISO-TS-16610-20-2006.pdf》由会员分享，可在线阅读，更多相关《DD-ISO-TS-16610-20-2006.pdf（24页珍藏版）》请在三一文库上搜索。
1、DD ISO/TS 16610-20:2006 ICS 17.040.20, NO COPYING WITHOUT BSI PERMISSION EXCEPT AS PERMITTED BY COPYRIGHT LAW DRAFT FOR DEVELOPMENT Geometrical product specifications (GPS) Filtration Part 20: Linear profile filters: Basic concepts Licensed Copy: London South Bank University, South Bank University,
2、31/01/2009 03:33, Uncontrolled Copy, (c) BSI This Draft for Development was published under the authority of the Standards Policy and Strategy Committee on 30 November 2008 BSI 2008 ISBN 978 0 580 59793 0 Amendments/corrigenda issued since publication DateComments DD ISO/TS 16610-20:2006 National fo
3、reword This Draft for Development is the UK implementation of ISO/TS 16610-20:2006. This publication is not to be regarded as a British Standard. It is being issued in the Draft for Development series of publications and is of a provisional nature. It should be applied on this provisional basis, so
4、that information and experience of its practical application can be obtained. Comments arising from the use of this Draft for Development are requested so that UK experience can be reported to the international organization responsible for its conversion to an international standard. A review of thi
5、s publication will be initiated not later than 3 years after its publication by the international organization so that a decision can be taken on its status. Notification of the start of the review period will be made in an announcement in the appropriate issue of Update Standards. According to the
6、replies received by the end of the review period, the responsible BSI Committee will decide whether to support the conversion into an international Standard, to extend the life of the Technical Specification or to withdraw it. Comments should be sent to the Secretary of the responsible BSI Technical
7、 Committee at British Standards House, 389 Chiswick High Road, London W4 4AL. The UK participation in its preparation was entrusted to Technical Committee TDW/4, Technical product realization (TPR). A list of organizations represented on this committee can be obtained on request to its secretary. Th
8、is publication does not purport to include all the necessary provisions of a contract. Users are responsible for its correct application. Compliance with a British Standard cannot confer immunity from legal obligations. Licensed Copy: London South Bank University, South Bank University, 31/01/2009 0
9、3:33, Uncontrolled Copy, (c) BSI DD ISO/TS 16610-20:2006 Reference number ISO/TS 16610-20:2006(E) ISO 2006 TECHNICAL SPECIFICATION ISO/TS 16610-20 First edition 2006-11-01 Geometrical product specifications (GPS) Filtration Part 20: Linear profile filters: Basic concepts Spcification gomtrique des p
10、roduits (GPS) Filtrage Partie 20: Filtres de profil linaires: Concepts de base Licensed Copy: London South Bank University, South Bank University, 31/01/2009 03:33, Uncontrolled Copy, (c) BSI DD ISO/TS 16610-20:2006 ISO/TS 16610-20:2006(E) PDF disclaimer This PDF file may contain embedded typefaces.
11、 In accordance with Adobes licensing policy, this file may be printed or viewed but shall not be edited unless the typefaces which are embedded are licensed to and installed on the computer performing the editing. In downloading this file, parties accept therein the responsibility of not infringing
12、Adobes licensing policy. The ISO Central Secretariat accepts no liability in this area. Adobe is a trademark of Adobe Systems Incorporated. Details of the software products used to create this PDF file can be found in the General Info relative to the file; the PDF-creation parameters were optimized
13、for printing. Every care has been taken to ensure that the file is suitable for use by ISO member bodies. In the unlikely event that a problem relating to it is found, please inform the Central Secretariat at the address given below. ISO 2006 All rights reserved. Unless otherwise specified, no part
14、of this publication may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or ISOs member body in the country of the requester. ISO copyright office Case postale 56
15、CH-1211 Geneva 20 Tel. + 41 22 749 01 11 Fax + 41 22 749 09 47 E-mail copyrightiso.org Web www.iso.org Published in Switzerland ii ISO 2006 All rights reserved Licensed Copy: London South Bank University, South Bank University, 31/01/2009 03:33, Uncontrolled Copy, (c) BSI DD ISO/TS 16610-20:2006 ISO
16、/TS 16610-20:2006(E) ISO 2006 All rights reserved iii Contents Page Foreword iv Introduction. vi 1 Scope . 1 2 Normative references. 1 3 Terms and definitions. 1 4 Basic concepts 2 4.1 General. 2 4.2 Discrete representation of data. 3 4.3 Discrete representation of the linear profile filter . 3 4.4
17、Discrete representation of the weighting function 3 5 Linear profile filters 5 5.1 Filter equations. 5 5.2 Discrete convolution 6 5.3 Transfer function 7 5.4 Filter banks 9 Annex A (informative) Concept diagram. 10 Annex B (informative) Relationship to the filtration matrix model. 11 Annex C (inform
18、ative) Relationship to the GPS matrix model 12 Bibliography. 13 Licensed Copy: London South Bank University, South Bank University, 31/01/2009 03:33, Uncontrolled Copy, (c) BSI DD ISO/TS 16610-20:2006 ISO/TS 16610-20:2006(E) iv ISO 2006 All rights reserved Foreword ISO (the International Organizatio
19、n 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
20、 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. Inter
21、national 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. Publicat
22、ion as an International Standard requires approval by at least 75 % of the member bodies casting a vote. In other circumstances, particularly when there is an urgent market requirement for such documents, a technical committee may decide to publish other types of normative document: an ISO Publicly
23、Available Specification (ISO/PAS) represents an agreement between technical experts in an ISO working group and is accepted for publication if it is approved by more than 50 % of the members of the parent committee casting a vote; an ISO Technical Specification (ISO/TS) represents an agreement betwe
24、en the members of a technical committee and is accepted for publication if it is approved by 2/3 of the members of the committee casting a vote. An ISO/PAS or ISO/TS is reviewed after three years in order to decide whether it will be confirmed for a further three years, revised to become an Internat
25、ional Standard, or withdrawn. If the ISO/PAS or ISO/TS is confirmed, it is reviewed again after a further three years, at which time it must either be transformed into an International Standard or be withdrawn. Attention is drawn to the possibility that some of the elements of this document may be t
26、he subject of patent rights. ISO shall not be held responsible for identifying any or all such patent rights. ISO/TS 16610-20 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product specifications and verification. ISO/TS 16610 consists of the following parts, under the g
27、eneral title Geometrical product specifications (GPS) Filtration: Part 1: Overview and basic concepts Part 20: Linear profile filters: Basic concepts Part 22: Linear profile filters: Spline filters Part 29: Linear profile filters: Spline wavelets Part 31: Robust profile filters: Gaussian regression
28、filters Part 32: Robust profile filters: Spline filters Part 40: Morphological profile filters: Basic concepts Licensed Copy: London South Bank University, South Bank University, 31/01/2009 03:33, Uncontrolled Copy, (c) BSI DD ISO/TS 16610-20:2006 ISO/TS 16610-20:2006(E) ISO 2006 All rights reserved
29、 v Part 41: Morphological profile filters: Disk and horizontal line-segment filters Part 49: Morphological profile filters: Scale space techniques The following parts are under preparation: Part 21: Linear profile filters: Gaussian filters Part 26: Linear profile filters: Filtration on nominally ort
30、hogonal grid planar data sets Part 27: Linear profile filters: Filtration on nominally orthogonal grid cylindrical data sets Part 30: Robust profile filters: Basic concepts Part 42: Morphological profile filters: Motif filters Part 60: Linear areal filters: Basic concepts Part 61: Linear areal filte
31、rs: Gaussian filters Part 62: Linear areal filters: Spline filters Part 69: Linear areal filters: Spline wavelets Part 70: Robust areal filters: Basic concepts Part 71: Robust areal filters: Gaussian regression filters Part 72: Robust areal filters: Spline filters Part 80: Morphological areal filter
32、s: 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 Licensed Copy: London South Bank University, South Bank University, 31/01/2009 03:33,
33、Uncontrolled Copy, (c) BSI DD ISO/TS 16610-20:2006 ISO/TS 16610-20:2006(E) vi ISO 2006 All rights reserved Introduction This part of ISO/TS 16610 is a geometrical product specification (GPS) Technical Specification and is to be regarded as a global GPS Technical Specification (see ISO/TR 14638). It
34、influences the chain links 3 and 5 of all chains of standards. For more detailed information about the relation of this part of ISO/TS 16610 to the GPS matrix model, see Annex C. This part of ISO/TS 16610 develops the basic concepts of linear filters, which include spline filters and spline wavelets
35、, as well as the standardized Gaussian filter (see ISO 11562:1996). Licensed Copy: London South Bank University, South Bank University, 31/01/2009 03:33, Uncontrolled Copy, (c) BSI DD ISO/TS 16610-20:2006 TECHNICAL SPECIFICATION ISO/TS 16610-20:2006(E) ISO 2006 All rights reserved 1 Geometrical prod
36、uct specifications (GPS) Filtration Part 20: Linear profile filters: Basic concepts 1 Scope This part of ISO/TS 16610 sets out the basic concepts of linear profile filters. 2 Normative references The following referenced documents are indispensable for the application of this document. For dated ref
37、erences, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies. ISO 11562:19961), Geometrical Product Specifications (GPS) Surface texture: Profile method Metrological characteristics of phase correct filters ISO/TS 1
38、6610-1:2006, Geometrical product specifications (GPS) Filtration Part 1: Overview and basic concepts International vocabulary of basic and general terms in metrology (VIM). BIPM, IEC, IFCC, ISO, IUPAC, IUPAP, OIML, 2nd ed., 1993 3 Terms and definitions For the purposes of this document, the terms an
39、d definitions given in VIM and ISO/TS 16610-1, and the following apply. 3.1 linear profile filter profile filter which separates profiles into long wave and short wave components 3.2 phase correct (linear) profile filter linear profile filter (3.1) which does not cause phase shifts leading to asymme
40、trical profile distortions NOTE Phase correct filters are a particular kind of the so-called linear phase filters, because any linear phase filter can be transformed (simply by shifting its weighting function) to a zero phase filter, which is a phase correct filter. 1) To be replaced by ISO 16610-21
41、. Licensed Copy: London South Bank University, South Bank University, 31/01/2009 03:33, Uncontrolled Copy, (c) BSI DD ISO/TS 16610-20:2006 ISO/TS 16610-20:2006(E) 2 ISO 2006 All rights reserved 3.3 weighting function function for calculating the mean line, which indicates for each point the weight a
42、ttached by the profile in the vicinity of that point NOTE The transmission characteristic of the mean line is the Fourier transformation of the weighting function. 3.4 transmission characteristic of a filter characteristic that indicates the amount by which the amplitude of a sinusoidal profile is a
43、ttenuated as a function of its wavelength NOTE The transmission characteristic is the Fourier transformation of the weighting function. 3.5 cut-off wavelength wavelength of a sinusoidal profile, of which 50 % of the amplitude is transmitted by the profile filter NOTE 1 Linear profile filters are ide
44、ntified by the filter type and the cut-off wavelength value. NOTE 2 The cut-off wavelength is the recommended nesting index for linear profile filters. 3.6 filter bank set of high-pass and low-pass filters, arranged in a specified structure 3.7 multiresolution analysis decomposition of a profile by
45、a filter bank (3.6) into portions of different scales NOTE The portions at different scales are also referred to as resolutions. 4 Basic concepts 4.1 General For a filter to conform with this part of ISO/TS 16610, it shall exhibit the characteristics described in 5.1, 5.2, 5.3 and 5.4. NOTE A concep
46、t diagram for linear profile filters is given in Annex A. The relationship to the filtration matrix model is given in Annex B. The most general linear profile filter is defined by ( )( , ) ( )dy xK xz= (1) where ( )z is the unfiltered profile; ( )y x is the filtered profile; ( , )K x is a real symme
47、tric and spatial invariant kernel. If ( , )()K xK x=, the filtering is a convolution ( )() ( )dy xK xz= (2) Licensed Copy: London South Bank University, South Bank University, 31/01/2009 03:33, Uncontrolled Copy, (c) BSI DD ISO/TS 16610-20:2006 ISO/TS 16610-20:2006(E) ISO 2006 All rights reserved 3
48、and the kernel is called the weighting function of the filter. However, extracted data are always discrete. Consequently, the filters described here are also discrete. If the weighting function is not discrete (see 4.4, Example 2), it shall be converted into a discrete representation. 4.2 Discrete r
49、epresentation of data An extracted profile can be represented by a vector. The length n of this vector is equal to the number of data points. The sampling is assumed to be uniform, i.e. the sampling interval is constant. The ith data point of the profile is therefore the ith component of the vector. () 1 21inn a aaaa (3) 4.3 Discrete representation of the linear profile filter A linear profile filter is represented by a square matrix. The dimension of