On optimal tolerancing in computer-aided design

H. Pottmann; B. Odehnal; M. Peternell; J. Wallner; R. A. Haddou

doi:10.1109/GMAP.2000.838266

On optimal tolerancing in computer-aided design

H. Pottmann, B. Odehnal, M. Peternell, J. Wallner, R. A. Haddou

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

10 Scopus citations

Abstract

A geometric approach to the computation of precise or well approximated tolerance zones for CAD constructions is given. We continue a previous study of linear constructions and freeform curve and surface schemes under the assumption of convex tolerance regions for points. The computation of the boundaries of the tolerance zones for curves/surfaces is discussed. We also study congruence transformations in the presence of errors and families of circles arising in metric constructions under the assumption of tolerances in the input. The classical cyclographic mapping as well as ideas from convexity and classical differential geometry appear as central geometric tools.

Original language	English (US)
Title of host publication	Proceedings - Geometric Modeling and Processing 2000
Subtitle of host publication	Theory and Applications
Editors	Ralph Martin
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	347-363
Number of pages	17
ISBN (Electronic)	0769505627, 9780769505626
DOIs	https://doi.org/10.1109/GMAP.2000.838266
State	Published - 2000
Externally published	Yes
Event	Geometric Modeling and Processing 2000, GMP 2000 - Hong Kong, China Duration: Apr 11 2000 → Apr 12 2000

Publication series

Name	Proceedings - Geometric Modeling and Processing 2000: Theory and Applications

Other

Other	Geometric Modeling and Processing 2000, GMP 2000
Country/Territory	China
City	Hong Kong
Period	04/11/00 → 04/12/00

Bibliographical note

Publisher Copyright:
© 2000 IEEE.

ASJC Scopus subject areas

Computational Mathematics
Geometry and Topology
Modeling and Simulation

Access to Document

10.1109/GMAP.2000.838266

Cite this

Pottmann, H., Odehnal, B., Peternell, M., Wallner, J., & Haddou, R. A. (2000). On optimal tolerancing in computer-aided design. In R. Martin (Ed.), Proceedings - Geometric Modeling and Processing 2000: Theory and Applications (pp. 347-363). Article 838266 (Proceedings - Geometric Modeling and Processing 2000: Theory and Applications). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/GMAP.2000.838266

@inproceedings{47bc28e2349c481babd235c928408a3d,

title = "On optimal tolerancing in computer-aided design",

abstract = "A geometric approach to the computation of precise or well approximated tolerance zones for CAD constructions is given. We continue a previous study of linear constructions and freeform curve and surface schemes under the assumption of convex tolerance regions for points. The computation of the boundaries of the tolerance zones for curves/surfaces is discussed. We also study congruence transformations in the presence of errors and families of circles arising in metric constructions under the assumption of tolerances in the input. The classical cyclographic mapping as well as ideas from convexity and classical differential geometry appear as central geometric tools.",

author = "H. Pottmann and B. Odehnal and M. Peternell and J. Wallner and Haddou, {R. A.}",

note = "Publisher Copyright: {\textcopyright} 2000 IEEE.; Geometric Modeling and Processing 2000, GMP 2000 ; Conference date: 11-04-2000 Through 12-04-2000",

year = "2000",

doi = "10.1109/GMAP.2000.838266",

language = "English (US)",

series = "Proceedings - Geometric Modeling and Processing 2000: Theory and Applications",

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

pages = "347--363",

editor = "Ralph Martin",

booktitle = "Proceedings - Geometric Modeling and Processing 2000",

address = "United States",

}

Pottmann, H, Odehnal, B, Peternell, M, Wallner, J & Haddou, RA 2000, On optimal tolerancing in computer-aided design. in R Martin (ed.), Proceedings - Geometric Modeling and Processing 2000: Theory and Applications., 838266, Proceedings - Geometric Modeling and Processing 2000: Theory and Applications, Institute of Electrical and Electronics Engineers Inc., pp. 347-363, Geometric Modeling and Processing 2000, GMP 2000, Hong Kong, China, 04/11/00. https://doi.org/10.1109/GMAP.2000.838266

On optimal tolerancing in computer-aided design. / Pottmann, H.; Odehnal, B.; Peternell, M. et al.
Proceedings - Geometric Modeling and Processing 2000: Theory and Applications. ed. / Ralph Martin. Institute of Electrical and Electronics Engineers Inc., 2000. p. 347-363 838266 (Proceedings - Geometric Modeling and Processing 2000: Theory and Applications).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - On optimal tolerancing in computer-aided design

AU - Pottmann, H.

AU - Odehnal, B.

AU - Peternell, M.

AU - Wallner, J.

AU - Haddou, R. A.

PY - 2000

Y1 - 2000

N2 - A geometric approach to the computation of precise or well approximated tolerance zones for CAD constructions is given. We continue a previous study of linear constructions and freeform curve and surface schemes under the assumption of convex tolerance regions for points. The computation of the boundaries of the tolerance zones for curves/surfaces is discussed. We also study congruence transformations in the presence of errors and families of circles arising in metric constructions under the assumption of tolerances in the input. The classical cyclographic mapping as well as ideas from convexity and classical differential geometry appear as central geometric tools.

AB - A geometric approach to the computation of precise or well approximated tolerance zones for CAD constructions is given. We continue a previous study of linear constructions and freeform curve and surface schemes under the assumption of convex tolerance regions for points. The computation of the boundaries of the tolerance zones for curves/surfaces is discussed. We also study congruence transformations in the presence of errors and families of circles arising in metric constructions under the assumption of tolerances in the input. The classical cyclographic mapping as well as ideas from convexity and classical differential geometry appear as central geometric tools.

UR - http://www.scopus.com/inward/record.url?scp=84969506415&partnerID=8YFLogxK

U2 - 10.1109/GMAP.2000.838266

DO - 10.1109/GMAP.2000.838266

M3 - Conference contribution

AN - SCOPUS:84969506415

T3 - Proceedings - Geometric Modeling and Processing 2000: Theory and Applications

SP - 347

EP - 363

BT - Proceedings - Geometric Modeling and Processing 2000

A2 - Martin, Ralph

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - Geometric Modeling and Processing 2000, GMP 2000

Y2 - 11 April 2000 through 12 April 2000

ER -

Pottmann H, Odehnal B, Peternell M, Wallner J, Haddou RA. On optimal tolerancing in computer-aided design. In Martin R, editor, Proceedings - Geometric Modeling and Processing 2000: Theory and Applications. Institute of Electrical and Electronics Engineers Inc. 2000. p. 347-363. 838266. (Proceedings - Geometric Modeling and Processing 2000: Theory and Applications). doi: 10.1109/GMAP.2000.838266

On optimal tolerancing in computer-aided design

Abstract

Publication series

Other

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this