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GB/Z 26958.31-2011Geometrical Product Specifications (GPS) - Filtration - Part 31: Robust profile filters - Gaussian regression filters (English PDF)

产品几何技术规范(GPS) 滤波 第31部分:稳健轮廓滤波器 高斯回归滤波器

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Issued by

SAMR; SAC

Level / Type

National · Recommended

Issue date

July 19, 2011

Implementation date

July 19, 2011

Scope

GB/Z 26958.31-2011 is the English-translated version of 产品几何技术规范(GPS) 滤波 第31部分:稳健轮廓滤波器 高斯回归滤波器.

GB/Z 26958.31-2011 is a guiding technical document that sets out the characteristics of the discrete robust Gaussian regression filter for profile filtering.

It defines the filter as a regression filter built on a Gaussian weight function and a biweight influence function, and it gives the related terms: robust filter, whose output is insensitive to unusual features in the input data, regression profile filter, an M-estimation of the profile based on a local polynomial model, and the scale-invariant biweight influence function itself, given as an equation.

The filter is meant for evaluating profiles of discontinuous surfaces, such as those with deep valleys or spike-like peaks. It is Part 31 of the GB/Z 26958 series on GPS filtration and is an identical adoption, by translation, of ISO/TS 16610-31:2010. It was issued on 19 July 2011.

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Document preview — GB/Z 26958.31-2011

National Standard of the People's Republic of China

ICS
17.040.20
Classification
J 04

Issued by: State Administration for Market Regulation; Standardization Administration of the PRC

Contents

  • Foreword
  • 1 Scope
  • 2 Normative references
  • 3 Terms and definitions

Foreword

GB /Z 26958 "Geometrical Product Specifications (GPS) filtering" national standardization of technical guidance document is divided into 89, has been transformed For the national standardization of technical documents have the following 9 parts.

--- Part 1. Overview and basic concepts;

--- Part 20. Basic concepts of linear contour filters;

--- Part 22. Linear contour filter spline filter;

--- Part 29. Linear contour filter spline wavelet;

--- Part 31. Robust contour filter Gaussian regression filter;

--- Part 32. Robust contour filter spline filter;

--- Part 40. Morphological contour filter basic concepts;

--- Part 41. Morphology contour filter disk and horizontal line segment filter;

--- Part 49. Morphology contour filter scale space technology.

This section GB /Z 26958 Part 31.

This section drafted in accordance with GB/T 1.1-2009 given rules.

This section uses the translation method identical with the international technical standard ISO /T S16610-31.2010 "Product Geometrical Specifications (GPS) filter Wave Part 31. Robust Contour Filter Gaussian Regression Filter. " For ease of use, this section made the following editorial changes.

--- "This part of International Technical Specifications" be replaced by "This part of the guidance of technical documents";

--- Removed the foreword and foreword of international technical specification;

--- In technical content and preparation of the format in line with the international technical specifications.

1 Scope

GB /Z 26958 provisions of this part of the discrete robust Gaussian regression filter characteristics, robust Gaussian regression filter for evaluation There are deep valleys or peaks such as spikes discontinuous surface profile.

2 Normative references

The following documents for the application of this document is essential. For dated references, only the dated version applies to this document. For undated references, the latest edition (including all amendments) applies to this document.

Geometrical product specifications (GPS) filtering Part 1. Overview and basic concepts (ISO /T S16610-1.2006, IDT)

Geometrical product specifications (GPS) filtering Part 20. Basic outline of linear filter Reading (ISO /T S16610-20.2006, IDT)

ISO /T S16610-30-2009 Geometrical product specifications (GPS) filtering - Part 30. Robust contour filters GeometicalProductsSpecifications (GPS) -Filtration-Part 30: Robustprofilefilters.Basiccon- cepts]

JJF1001 General Terms and Definitions for Metrology (International Metrology Terminology (VIM), BIPM, IEC , IFCC, ISO , IUPAC, IUPAP, OIML)

3 Terms and definitions

JJF1001, GB /Z 26958.1-2011, GB /Z 26958.20-2011, ISO /T S16610-30.2009 and the following Terms and definitions apply to this document.

3.1 Robust filter

Output data is not sensitive to the special phenomenon in the input data.

3.2 Regression profile filter

M - Estimation of Contour - Based Local Polynomial Model.

3.3 Robust Gaussian Regression Filter

Regression Filter Based on Gaussian Weight Function and Double Weighted Influence Function.

3.3.1 Double weight influence function

The scale-invariant asymmetric function is expressed by equation (1).

......
This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 18 pages — is available in the English PDF.

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