@inproceedings{7dd87da1cd50488186755104cc8c66cc,
title = "Methods of robotics and the pseudoinverse to obtain the least-squares fit of measured points on line-profiles",
abstract = "Tolerances on line profiles are used to control cross-sectional shapes of parts, such as turbine blades. A full life cycle for many mechanical devices depends (i) on a wise assignment of tolerances during design and (ii) on careful quality control of the manufacturing process to ensure adherence to the specified tolerances. This paper describes a new method to improve the quality control of a manufacturing process by converting measured points on a part to a geometric entity that can be compared directly with tolerance specifications. The focus of this paper is the development of a new computational method for obtaining the least-squares fit of a set of points that have been measured with a coordinate measurement machine along a line-profile. The pseudo-inverse of a rectangular matrix is used to convert the measured points to the least-squares fit of the profile. A numerical example is included for a convex line-profile that is formed from line- And circular arc-segments.",
author = "Davidson, {J. K.} and Savaliya, {S. B.} and Y. He and Shah, {Jami J.}",
year = "2012",
doi = "10.1115/DETC2012-70203",
language = "English (US)",
isbn = "9780791845042",
series = "Proceedings of the ASME Design Engineering Technical Conference",
pages = "347--358",
booktitle = "ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012",
note = "ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 ; Conference date: 12-08-2012 Through 12-08-2012",
}