Intersection of offset surfaces of parametric patches

Yu Wang

doi:10.1115/DETC1992-0168

Intersection of offset surfaces of parametric patches

Yu Wang^*

^*Corresponding author for this work

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

Abstract

In this paper, we present a new method to calculate intersection curve of offset surfaces of two parametric surface patches. This method is based on the concept of normal projection and the intersection problem is formulated with a set of tensorial differential equations. The intersection is represented in the parametric spaces of the base surfaces and no offset surface approximation is needed. Numerical examples are presented for non-uniform rational b-spline (NURBS) surfaces to illustrate the effectiveness and efficiency of the proposed approach.

Original language	English
Title of host publication	18th Design Automation Conference
Subtitle of host publication	Volume 2 - Geometric Modeling, Mechanisms, and Mechanical Systems Analysis
Publisher	American Society of Mechanical Engineers (ASME)
Pages	215-221
Number of pages	7
ISBN (Electronic)	9780791897720
DOIs	https://doi.org/10.1115/DETC1992-0168
Publication status	Published - 1992
Externally published	Yes
Event	ASME 1992 Design Technical Conferences, DETC 1992 - Scottsdale, United States Duration: 13 Sept 1992 → 16 Sept 1992

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	Part F168016-7

Conference

Conference	ASME 1992 Design Technical Conferences, DETC 1992
Country/Territory	United States
City	Scottsdale
Period	13/09/92 → 16/09/92

Bibliographical note

Publisher Copyright:
© 1992 American Society of Mechanical Engineers (ASME). All rights reserved.

Access to Document

10.1115/DETC1992-0168

Cite this

Wang, Y. (1992). Intersection of offset surfaces of parametric patches. In 18th Design Automation Conference: Volume 2 - Geometric Modeling, Mechanisms, and Mechanical Systems Analysis (pp. 215-221). (Proceedings of the ASME Design Engineering Technical Conference; Vol. Part F168016-7). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC1992-0168

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title = "Intersection of offset surfaces of parametric patches",

abstract = "In this paper, we present a new method to calculate intersection curve of offset surfaces of two parametric surface patches. This method is based on the concept of normal projection and the intersection problem is formulated with a set of tensorial differential equations. The intersection is represented in the parametric spaces of the base surfaces and no offset surface approximation is needed. Numerical examples are presented for non-uniform rational b-spline (NURBS) surfaces to illustrate the effectiveness and efficiency of the proposed approach.",

author = "Yu Wang",

note = "Publisher Copyright: {\textcopyright} 1992 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1992 Design Technical Conferences, DETC 1992 ; Conference date: 13-09-1992 Through 16-09-1992",

year = "1992",

doi = "10.1115/DETC1992-0168",

language = "English",

series = "Proceedings of the ASME Design Engineering Technical Conference",

publisher = "American Society of Mechanical Engineers (ASME)",

pages = "215--221",

booktitle = "18th Design Automation Conference",

}

Wang, Y 1992, Intersection of offset surfaces of parametric patches. in 18th Design Automation Conference: Volume 2 - Geometric Modeling, Mechanisms, and Mechanical Systems Analysis. Proceedings of the ASME Design Engineering Technical Conference, vol. Part F168016-7, American Society of Mechanical Engineers (ASME), pp. 215-221, ASME 1992 Design Technical Conferences, DETC 1992, Scottsdale, United States, 13/09/92. https://doi.org/10.1115/DETC1992-0168

Intersection of offset surfaces of parametric patches. / Wang, Yu.
18th Design Automation Conference: Volume 2 - Geometric Modeling, Mechanisms, and Mechanical Systems Analysis. American Society of Mechanical Engineers (ASME), 1992. p. 215-221 (Proceedings of the ASME Design Engineering Technical Conference; Vol. Part F168016-7).

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

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AB - In this paper, we present a new method to calculate intersection curve of offset surfaces of two parametric surface patches. This method is based on the concept of normal projection and the intersection problem is formulated with a set of tensorial differential equations. The intersection is represented in the parametric spaces of the base surfaces and no offset surface approximation is needed. Numerical examples are presented for non-uniform rational b-spline (NURBS) surfaces to illustrate the effectiveness and efficiency of the proposed approach.

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DO - 10.1115/DETC1992-0168

M3 - Conference Paper published in a book

AN - SCOPUS:85104184606

T3 - Proceedings of the ASME Design Engineering Technical Conference

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BT - 18th Design Automation Conference

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 1992 Design Technical Conferences, DETC 1992

Y2 - 13 September 1992 through 16 September 1992

ER -

Intersection of offset surfaces of parametric patches

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