Singular analysis of the least squares estimation in the measurement of machine tool error using ball-bar

D. M. Lee, K. I. Lee, S. H. Yang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Reverse kinematic analysis is essential to estimate parameterized geometric errors from ball-bar equation which shows the relation between geometric errors and measured ball-bar data. Parameters are calculated by linear least squares estimation but it suffers from singular problem which affect to estimation accuracy of parameterized geometric errors. In this study, a method is proposed to analyze singular problem directly by decomposing and re-combining column space at linear least squares estimation for ball-bar equation.

Original languageEnglish
Title of host publicationProceedings of the 12th International Conference of the European Society for Precision Engineering and Nanotechnology, EUSPEN 2012
EditorsH. Spaan, Theresa Burke, Paul Shore
Publishereuspen
Pages448-451
Number of pages4
ISBN (Electronic)9780956679000
StatePublished - 2012
Event12th International Conference of the European Society for Precision Engineering and Nanotechnology, EUSPEN 2012 - Stockholm, Sweden
Duration: 4 Jun 20127 Jun 2012

Publication series

NameProceedings of the 12th International Conference of the European Society for Precision Engineering and Nanotechnology, EUSPEN 2012
Volume2

Conference

Conference12th International Conference of the European Society for Precision Engineering and Nanotechnology, EUSPEN 2012
Country/TerritorySweden
CityStockholm
Period4/06/127/06/12

Fingerprint

Dive into the research topics of 'Singular analysis of the least squares estimation in the measurement of machine tool error using ball-bar'. Together they form a unique fingerprint.

Cite this