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GB/T 26958.29-2024 English PDF

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GB/T 26958.29-2024: Geometrical product specifications(GPS) - Filtration - Part 29: Linear profile filters - Wavelets
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GB/T 26958.29-2024514 Add to Cart 5 days Geometrical product specifications(GPS) - Filtration - Part 29: Linear profile filters - Wavelets Valid

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Basic data

Standard ID: GB/T 26958.29-2024 (GB/T26958.29-2024)
Description (Translated English): Geometrical product specifications(GPS) - Filtration - Part 29: Linear profile filters - Wavelets
Sector / Industry: National Standard (Recommended)
Classification of Chinese Standard: J04
Classification of International Standard: 17.040.20
Word Count Estimation: 26,266
Date of Issue: 2024-09-29
Date of Implementation: 2024-09-29
Older Standard (superseded by this standard): GB/Z 26958.29-2011
Issuing agency(ies): State Administration for Market Regulation, China National Standardization Administration

GB/T 26958.29-2024: Geometrical product specifications(GPS) - Filtration - Part 29: Linear profile filters - Wavelets


---This is a DRAFT version for illustration, not a final translation. Full copy of true-PDF in English version (including equations, symbols, images, flow-chart, tables, and figures etc.) will be manually/carefully translated upon your order.
ICS 17.040.20 CCSJ04 National Standard of the People's Republic of China Replaces GB /Z 26958.29-2011 Geometric Product Specification (GPS) Filtering Part 29.Linear Profile Filter Wavelets (ISO 16610-29.2020,IDT) Released on 2024-09-29 2024-09-29 implementation State Administration for Market Regulation The National Standardization Administration issued

Table of Contents

Preface III Introduction V 1 Scope 1 2 Normative references 1 3 Terms and Definitions 1 4 General description of wavelets 4 5 Filter identification 5 Appendix A (Normative) Cubic Prediction Wavelet 7 Appendix B (Normative) Cubic B-spline wavelet 14 Appendix C (Informative) Relationship with filter matrix model 17 Appendix D (Informative) Relationship with GPS Matrix Model 18 References 19

Foreword

This document is in accordance with the provisions of GB/T 1.1-2020 "Guidelines for standardization work Part 1.Structure and drafting rules for standardization documents" Drafting. This document is part 29 of GB/T 26958 "Product Geometry Technical Specification (GPS) Filtering". GB/T 26958 has been published The following parts. --- Part 1.Overview and basic concepts; --- Part 20.Basic concepts of linear profile filters; --- Part 21.Linear profile filters Gaussian filters; --- Part 22.Linear profile filters and spline filters; --- Part 28.Profile filter end effects; --- Part 29.Linear profile filter wavelets; --- Part 30.Basic concepts of robust contour filters; --- Part 31.Robust contour filters and Gaussian regression filters; --- Part 32.Robust contour filters and spline filters; --- Part 40.Basic concepts of morphological contour filters; --- Part 41.Morphological contour filters, disk and horizontal line segment filters; --- Part 49.Morphological contour filter scale space technique; --- Part 60.Basic concepts of linear area filters; --- Part 61.Linear area filters Gaussian filters; --- Part 71.Robust regional filter Gaussian regression filter; --- Part 85.Morphological region filter segmentation. This document replaces GB /Z 26958.29-2011 "Product Geometry Technical Specification (GPS) Filtering Part 29.Linear Profile Filtering" Compared with GB /Z 26958.29-2011, in addition to structural adjustments and editorial changes, the main technical changes are as follows. a) Change “spline wavelet” to “biorthogonal wavelet” (see Chapter 1, Chapter 1 of the.2011 edition); b) Added the term and definition of “biorthogonal wavelet” (see 3.1.1); c) Added the term and definition of “wavelet function” (see 3.5.5); d) The term and definition of "spline wavelet" have been deleted (see 3.5 of the.2011 edition); e) Added the term and definition of “improvement plan” (see 3.6); f) Added the term and definition of “division into stages” (see 3.6.1); g) Added the term and definition of “prediction stage” (see 3.6.2); h) Added the term and definition of “update phase” (see 3.6.3); i) The description of the mathematical principle of the wavelet transform process has been changed (see 4.3, 4.3 of the.2011 edition); j) Deleted the description of spline wavelet and the corresponding nested mathematical model (see 4.4 and 4.5 of the.2011 edition); k) Added the description of cubic prediction wavelet and cubic B-spline wavelet in biorthogonal wavelet (see 4.4); l) The application description of spline wavelets was deleted (see Chapter 5 of the.2011 edition); m) The content of the three-time prediction wavelet has been changed (see Appendix A, Appendix A and Appendix B of the.2011 edition); n) Added the content of cubic B-spline wavelet (see Appendix B). This document is equivalent to ISO 16610-29.2020 "Geometric Product Specification (GPS) Filtering Part 29.Linear Profile Filtering Wavelet Filter. Please note that some of the contents of this document may involve patents. The issuing organization of this document does not assume the responsibility for identifying patents. This document is proposed and coordinated by the National Technical Committee for Standardization of Product Geometry Technical Specifications (SAC/TC240). This document was drafted by. Hexagon Manufacturing Intelligence Technology (Qingdao) Co., Ltd., Chengdu University of Information Technology, Tianjin University, China Machinery Industry Corporation Power Promotion Center Co., Ltd., Tsinghua University, Beijing Times Peak Technology Co., Ltd., Xi'an Will Measuring Instrument Co., Ltd., Shandong Provincial Metrology Institute of Science, Zhengzhou University, Wenzhou Institute of Metrology, China Science (Anhui) Smart Health Innovation Research Institute Co., Ltd., Ningbo University of Finance and Economics Institute, Yantai Nanshan University, Qingdao City University, China Machinery Research Institute of Standards and Technology (Beijing) Co., Ltd. The main drafters of this document are. Hao Jian, Xu Yuanping, Guo Tong, Zhu Yue, Wei Haoyun, Zhang Yanchun, Wang Haitao, Wang Huizhen, Hao Jianguo, Jin Jin, Zhang Jian, Zhao Fengxia, Sun Xiaoting, Yang Xianjun, Chen Yanyan, Ma Xie, Li Dongxing, Lang Yanmei. This document was first published in.2011 and this is the first revision.

Introduction

In the process of analyzing the surface roughness characteristic information of the product, the filter model, filter parameters, filter transmission characteristics, There is no consistent standard specification for the separation, extraction and reconstruction of the long-wave and short-wave components of the surface profile, and the treatment of the end effect. The concept of GPS consistency specification is in line with the requirements. The focus is on the processing technology and filtering of surface roughness characteristic information with Gaussian statistical distribution. Method, a surface morphology roughness filtering specification system for the new generation of GPS is constructed. GB/T 26958 "Product Geometry Technical Specification (GPS) Filter" is based on the new generation of GPS product geometry specification system, providing industrial production with Provides a complete set of filtering operation tools, which can be used together with other operation tools to ensure the smooth and reasonable progress of product specification and certification. Waves are widely used in surface topography measurement and analysis and have become an important analytical tool for existing surface topography measurement instruments. Formulate and implement, provide unified specifications for the measurement and analysis of surface morphology information in the manufacturing field, and for the development and application standardization of related instruments The formulation of this standard is conducive to improving the diversified surface morphology analysis tools and improving the quality, performance and international competitiveness of enterprise products. GB/T 26958 consists of 16 parts. --- Part 1.Overview and basic concepts. The purpose is to define the basic terminology of GPS filtering and the basic flow used by GPS filtering. Program framework. --- Part 20.Basic concepts of linear profile filters. The purpose is to specify the basic concepts of linear profile filters. --- Part 21.Linear profile filters Gaussian filters. The purpose is to specify the metrological characteristics of Gaussian filters for profile filtering. The method of separating the long-wave and short-wave components of surface profile is given. --- Part 22.Linear profile filters and spline filters. The purpose is to specify spline filters for profile filtering, in particular Describe how to separate the long-wave and short-wave components of a profile. --- Part 28.Profile filter end effects. The purpose is to give a method for dealing with the end effects of linear profile filters. method. --- Part 29.Linear contour filter wavelets. The purpose is to specify biorthogonal wavelets and related concepts for contour filtering. The concept is introduced and the basic terminology and related usage of biorthogonal wavelets with compact support properties are given. --- Part 30.Basic concepts of robust contour filters. The purpose is to specify the basic concepts of robust contour filters. --- Part 31.Robust profile filter Gaussian regression filter. The purpose is to specify the characteristics of discrete robust Gaussian regression filters. --- Part 32.Robust contour filter spline filter. The purpose is to specify a robust spline filter suitable for surface contours characteristics, and a detailed method for separating the long-wave and short-wave components of the surface profile. --- Part 40.Basic concepts of morphological contour filters. The purpose is to specify morphological operations and filters, including envelope filters. Basic terms and concepts of oscillators. --- Part 41.Morphological contour filters, disk and horizontal line segment filters. The purpose is to specify the use of disk and horizontal line segment filters A technique for computing morphological filters including envelope filters using a combination of primitives. --- Part 49.Morphological contour filter scale space technique. The purpose is to specify the morphological scale space technique and give the scale space technique. Basic terminology of dimensional space technology and its usage. --- Part 60.Basic concepts of linear area filters. The purpose is to specify the basic concepts of linear area filters. --- Part 61.Linear region filter Gaussian filter. The purpose is to specify the linear region Gaussian filter, in particular How to separate the long-wave and short-wave components of a surface. --- Part 71.Robust regional filter Gaussian regression filter. The purpose is to specify the characteristics of the robust regional Gaussian regression filter In particular, methods for separating the large-scale and small-scale lateral components of a surface are used. --- Part 85.Morphological region filter segmentation. The purpose is to establish the terminology and concepts related to region morphological segmentation. The surface is defined as a continuous surface, and the watershed segmentation algorithm and the Wolfe pruning algorithm are described in particular. Geometric Product Specification (GPS) Filtering Part 29.Linear Profile Filter Wavelets

1 Scope

This document specifies biorthogonal wavelets and related concepts for contour filtering, and gives the biorthogonal wavelet with compact support. Basic terms and their relevant usage.

2 Normative references

The following documents mentioned in this document, part or all of which constitute the requirements of this document. For any referenced document with a date, only the date is indicated. For any undated referenced documents, the latest version (including all amendments) shall apply to this document. ISO 16610-1 Geometrical product specifications (GPS) filtering Part 1.Overview and basic concepts Note. GB /Z 26958.1-2011 Product geometry technical specification (GPS) Filtering Part 1.Overview and basic concepts (ISO /T S16610-1. 2006, IDT) ISO 16610-20 Geometric product specifications (GPS) Filtering Part 20.Linear profile filters Basic concepts [Geo- Note. GB /Z 26958.20-2011 Product Geometry Technical Specification (GPS) Filtering Part 20.Basic Concepts of Linear Profile Filters (ISO / TS16610-20.2006,IDT) ISO 16610-22 Product Geometric Specifications (GPS) Filtering Part 22.Linear Profile Filters Spline Filters [Ge- Note. GB /Z 26958.22-2011 Product Geometry Technical Specification (GPS) Filtering Part 22.Linear Profile Filter Spline Filter (ISO / TS16610-22.2006,IDT)

3 Terms and definitions

For the purposes of this specification, the terms and definitions defined in ISO 16610-1, ISO 16610-20, ISO 16610-22, ISO /IEC Guide 99 and the following apply. document. 3.1 motherwavelet The univariate or multivariate functions that form the basic framework of wavelet analysis, that is, expanding the signal/profile into a linear combination of wavelets. Note. The mother wavelet usually integrates to zero and has the characteristics of spatial localization and limited bandwidth in the frequency domain. An example of a real-valued mother wavelet is shown in Figure 1.
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