A geometric approach of form tolerance formulation and evaluation

J. B. Gou; Y. X. Chu; Z. X. Li

doi:10.1109/ROBOT.1998.681387

A geometric approach of form tolerance formulation and evaluation

J. B. Gou, Y. X. Chu, Z. X. Li^*

^*Corresponding author for this work

Department of Electronic and Computer Engineering

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

3 Citations (Scopus)

Abstract

We first present a unified geometric formulation of form tolerances using an extended least-squares (E-LSQ) approach. Then, using properties of configuration space of symmetric features an iterative algorithm is developed to solve the E-LSQ problem. Simulation results show that the algorithm not only keeps computational efficiency of the least-squares approach, but also possesses of computational accuracy of min-max algorithms. The outstanding properties of the geometric formulation include: 1) coordinate-free representation; 2) in conformance to the tolerance standard; and 3) easy implementation.

Original language	English
Title of host publication	Proceedings - IEEE International Conference on Robotics and Automation
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3646-3651
Number of pages	6
ISBN (Print)	078034300X
DOIs	https://doi.org/10.1109/ROBOT.1998.681387
Publication status	Published - 1998
Event	15th IEEE International Conference on Robotics and Automation, ICRA 1998 - Leuven, Belgium Duration: 16 May 1998 → 20 May 1998

Publication series

Name	Proceedings - IEEE International Conference on Robotics and Automation
Volume	4
ISSN (Print)	1050-4729

Conference

Conference	15th IEEE International Conference on Robotics and Automation, ICRA 1998
Country/Territory	Belgium
City	Leuven
Period	16/05/98 → 20/05/98

Bibliographical note

Publisher Copyright:
© 1998 IEEE.

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10.1109/ROBOT.1998.681387

Cite this

Gou, J. B., Chu, Y. X., & Li, Z. X. (1998). A geometric approach of form tolerance formulation and evaluation. In Proceedings - IEEE International Conference on Robotics and Automation (pp. 3646-3651). Article 681387 (Proceedings - IEEE International Conference on Robotics and Automation; Vol. 4). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ROBOT.1998.681387

@inproceedings{3699f18783304c0d9de4b54e82c468e0,

title = "A geometric approach of form tolerance formulation and evaluation",

abstract = "We first present a unified geometric formulation of form tolerances using an extended least-squares (E-LSQ) approach. Then, using properties of configuration space of symmetric features an iterative algorithm is developed to solve the E-LSQ problem. Simulation results show that the algorithm not only keeps computational efficiency of the least-squares approach, but also possesses of computational accuracy of min-max algorithms. The outstanding properties of the geometric formulation include: 1) coordinate-free representation; 2) in conformance to the tolerance standard; and 3) easy implementation.",

author = "Gou, \{J. B.\} and Chu, \{Y. X.\} and Li, \{Z. X.\}",

note = "Publisher Copyright: {\textcopyright} 1998 IEEE.; 15th IEEE International Conference on Robotics and Automation, ICRA 1998 ; Conference date: 16-05-1998 Through 20-05-1998",

year = "1998",

doi = "10.1109/ROBOT.1998.681387",

language = "English",

isbn = "078034300X",

series = "Proceedings - IEEE International Conference on Robotics and Automation",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "Proceedings - IEEE International Conference on Robotics and Automation",

}

Gou, JB, Chu, YX & Li, ZX 1998, A geometric approach of form tolerance formulation and evaluation. in Proceedings - IEEE International Conference on Robotics and Automation., 681387, Proceedings - IEEE International Conference on Robotics and Automation, vol. 4, Institute of Electrical and Electronics Engineers Inc., pp. 3646-3651, 15th IEEE International Conference on Robotics and Automation, ICRA 1998, Leuven, Belgium, 16/05/98. https://doi.org/10.1109/ROBOT.1998.681387

A geometric approach of form tolerance formulation and evaluation. / Gou, J. B.; Chu, Y. X.; Li, Z. X.
Proceedings - IEEE International Conference on Robotics and Automation. Institute of Electrical and Electronics Engineers Inc., 1998. p. 3646-3651 681387 (Proceedings - IEEE International Conference on Robotics and Automation; Vol. 4).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

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AU - Chu, Y. X.

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PY - 1998

Y1 - 1998

N2 - We first present a unified geometric formulation of form tolerances using an extended least-squares (E-LSQ) approach. Then, using properties of configuration space of symmetric features an iterative algorithm is developed to solve the E-LSQ problem. Simulation results show that the algorithm not only keeps computational efficiency of the least-squares approach, but also possesses of computational accuracy of min-max algorithms. The outstanding properties of the geometric formulation include: 1) coordinate-free representation; 2) in conformance to the tolerance standard; and 3) easy implementation.

AB - We first present a unified geometric formulation of form tolerances using an extended least-squares (E-LSQ) approach. Then, using properties of configuration space of symmetric features an iterative algorithm is developed to solve the E-LSQ problem. Simulation results show that the algorithm not only keeps computational efficiency of the least-squares approach, but also possesses of computational accuracy of min-max algorithms. The outstanding properties of the geometric formulation include: 1) coordinate-free representation; 2) in conformance to the tolerance standard; and 3) easy implementation.

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UR - https://www.scopus.com/pages/publications/0031638823

U2 - 10.1109/ROBOT.1998.681387

DO - 10.1109/ROBOT.1998.681387

M3 - Conference Paper published in a book

SN - 078034300X

T3 - Proceedings - IEEE International Conference on Robotics and Automation

SP - 3646

EP - 3651

BT - Proceedings - IEEE International Conference on Robotics and Automation

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 15th IEEE International Conference on Robotics and Automation, ICRA 1998

Y2 - 16 May 1998 through 20 May 1998

ER -

A geometric approach of form tolerance formulation and evaluation

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