Intersection of offset surfaces of parametric patches

Yu Wang

doi:10.1115/DETC1992-0168

Intersection of offset surfaces of parametric patches

Yu Wang

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

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 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE) 1992 - Scottsdale, United States of America Duration: 13 Sept 1992 → 16 Sept 1992 Conference number: 18th https://asmedigitalcollection.asme.org/IDETC-CIE/DETC92/volume/97720 (Proceedings)

Conference

Conference	ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE) 1992
Abbreviated title	DETC 1992
Country/Territory	United States of America
City	Scottsdale
Period	13/09/92 → 16/09/92
Internet address	https://asmedigitalcollection.asme.org/IDETC-CIE/DETC92/volume/97720 (Proceedings)

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10.1115/DETC1992-0168

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@inproceedings{ddb9445792d9410ea8861bf69013395a,

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 = "Funding Information: We wish to express our appreciation to Drs. G. A. Kriezis and N. M. Patrikalakis for their providing some numerical programs used in this work. This work is supported in part by a grant from the Minta Martin Foundation. Publisher Copyright: {\textcopyright} 1992 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME International Design Engineering Technical Conferences \& Computers and Information in Engineering Conference (IDETC/CIE) 1992, DETC 1992 ; Conference date: 13-09-1992 Through 16-09-1992",

year = "1992",

doi = "10.1115/DETC1992-0168",

language = "English",

pages = "215--221",

booktitle = "18th Design Automation Conference",

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

address = "United States of America",

url = "https://asmedigitalcollection.asme.org/IDETC-CIE/DETC92/volume/97720",

}

Wang, Y 1992, Intersection of offset surfaces of parametric patches. in 18th Design Automation Conference: Volume 2 - Geometric Modeling, Mechanisms, and Mechanical Systems Analysis. American Society of Mechanical Engineers (ASME), pp. 215-221, ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE) 1992, Scottsdale, Arizona, United States of America, 13/09/92. https://doi.org/10.1115/DETC1992-0168

TY - GEN

T1 - Intersection of offset surfaces of parametric patches

AU - Wang, Yu

N1 - Conference code: 18th

PY - 1992

Y1 - 1992

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85104184606

U2 - 10.1115/DETC1992-0168

DO - 10.1115/DETC1992-0168

M3 - Conference Paper

AN - SCOPUS:85104184606

SP - 215

EP - 221

BT - 18th Design Automation Conference

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE) 1992

Y2 - 13 September 1992 through 16 September 1992

ER -

Intersection of offset surfaces of parametric patches

Abstract

Conference

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