Evaluation of profile error for free-form surface

Xiao Jun Lin; Zeng Qiang Wang; Yao Yao Shi

doi:10.3969/j.issn.1000-1158.2011.06.04

Evaluation of profile error for free-form surface

Xiao Jun Lin
, Zeng Qiang Wang
, Yao Yao Shi

School of Mechanical Engineering

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

On the basis of summarizing the principle of profile error evaluation, the geometrical evaluation rule of the least condition is proposed for the profile error, which are the "triangle principle" and "cross principle". The algorithm for evaluating the least condition of the profile error is studied. First, the feature points are pre-positioned, followed by rough matching by least square method and self adaptation between the measured subject and the theoretical surface based on the least condition principle. At last an example is validated the correctness of the geometry rule and feasibility of this algorithm.

Original language	English
Pages (from-to)	495-500
Number of pages	6
Journal	Jiliang Xuebao/Acta Metrologica Sinica
Volume	32
Issue number	6
DOIs	https://doi.org/10.3969/j.issn.1000-1158.2011.06.04
State	Published - Nov 2011

Keywords

Coordinate measuring machine (CMM)
Free-form surface
Metrology
Profile Error
Surface matching
The geometry rule of the minimum zone principle

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10.3969/j.issn.1000-1158.2011.06.04

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keywords = "Coordinate measuring machine (CMM), Free-form surface, Metrology, Profile Error, Surface matching, The geometry rule of the minimum zone principle",

author = "Lin, \{Xiao Jun\} and Wang, \{Zeng Qiang\} and Shi, \{Yao Yao\}",

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AU - Wang, Zeng Qiang

AU - Shi, Yao Yao

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N2 - On the basis of summarizing the principle of profile error evaluation, the geometrical evaluation rule of the least condition is proposed for the profile error, which are the "triangle principle" and "cross principle". The algorithm for evaluating the least condition of the profile error is studied. First, the feature points are pre-positioned, followed by rough matching by least square method and self adaptation between the measured subject and the theoretical surface based on the least condition principle. At last an example is validated the correctness of the geometry rule and feasibility of this algorithm.

AB - On the basis of summarizing the principle of profile error evaluation, the geometrical evaluation rule of the least condition is proposed for the profile error, which are the "triangle principle" and "cross principle". The algorithm for evaluating the least condition of the profile error is studied. First, the feature points are pre-positioned, followed by rough matching by least square method and self adaptation between the measured subject and the theoretical surface based on the least condition principle. At last an example is validated the correctness of the geometry rule and feasibility of this algorithm.

KW - Coordinate measuring machine (CMM)

KW - Free-form surface

KW - Metrology

KW - Profile Error

KW - Surface matching

KW - The geometry rule of the minimum zone principle

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JF - Jiliang Xuebao/Acta Metrologica Sinica

IS - 6

ER -

Evaluation of profile error for free-form surface

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