Rational Bézier and B-spline ruled surface patches

Q. J. Ge; Donglai Kang

doi:10.1115/96-DETC/DAC-1495

Rational Bézier and B-spline ruled surface patches

Q. J. Ge
, Donglai Kang

Mechanical Engineering

Stony Brook University

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

Abstract

This paper presents a geometric method for constructing bounded rational Bézier and B-spline ruled surfaces directly from line-segments. Oriented line-segments in a Euclidean three-space are represented by vectors with four homogeneous components over the ring of dual numbers. Projective algorithms for rational Bézier and B-spline curves are dualized to yield algorithms for rational Bézier and B-spline ruled surfaces.

Original language	English
Title of host publication	22nd Design Automation Conference
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791897591
DOIs	https://doi.org/10.1115/96-DETC/DAC-1495
State	Published - 1996
Event	ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, DETC-CIE 1996 - Irvine, United States Duration: Aug 18 1996 → Aug 22 1996

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	3

Conference

Conference	ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, DETC-CIE 1996
Country/Territory	United States
City	Irvine
Period	08/18/96 → 08/22/96

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10.1115/96-DETC/DAC-1495

Cite this

@inproceedings{ef1292fd88924890a3b34315f692ce05,

title = "Rational B{\'e}zier and B-spline ruled surface patches",

abstract = "This paper presents a geometric method for constructing bounded rational B{\'e}zier and B-spline ruled surfaces directly from line-segments. Oriented line-segments in a Euclidean three-space are represented by vectors with four homogeneous components over the ring of dual numbers. Projective algorithms for rational B{\'e}zier and B-spline curves are dualized to yield algorithms for rational B{\'e}zier and B-spline ruled surfaces.",

author = "Ge, \{Q. J.\} and Donglai Kang",

note = "Publisher Copyright: {\textcopyright} 1996 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, DETC-CIE 1996 ; Conference date: 18-08-1996 Through 22-08-1996",

year = "1996",

doi = "10.1115/96-DETC/DAC-1495",

language = "English",

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

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

booktitle = "22nd Design Automation Conference",

}

Ge, QJ & Kang, D 1996, Rational Bézier and B-spline ruled surface patches. in 22nd Design Automation Conference. Proceedings of the ASME Design Engineering Technical Conference, vol. 3, American Society of Mechanical Engineers (ASME), ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, DETC-CIE 1996, Irvine, United States, 08/18/96. https://doi.org/10.1115/96-DETC/DAC-1495

TY - GEN

T1 - Rational Bézier and B-spline ruled surface patches

AU - Ge, Q. J.

AU - Kang, Donglai

PY - 1996

Y1 - 1996

N2 - This paper presents a geometric method for constructing bounded rational Bézier and B-spline ruled surfaces directly from line-segments. Oriented line-segments in a Euclidean three-space are represented by vectors with four homogeneous components over the ring of dual numbers. Projective algorithms for rational Bézier and B-spline curves are dualized to yield algorithms for rational Bézier and B-spline ruled surfaces.

AB - This paper presents a geometric method for constructing bounded rational Bézier and B-spline ruled surfaces directly from line-segments. Oriented line-segments in a Euclidean three-space are represented by vectors with four homogeneous components over the ring of dual numbers. Projective algorithms for rational Bézier and B-spline curves are dualized to yield algorithms for rational Bézier and B-spline ruled surfaces.

UR - https://www.scopus.com/pages/publications/85102003384

U2 - 10.1115/96-DETC/DAC-1495

DO - 10.1115/96-DETC/DAC-1495

M3 - Conference contribution

T3 - Proceedings of the ASME Design Engineering Technical Conference

BT - 22nd Design Automation Conference

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, DETC-CIE 1996

Y2 - 18 August 1996 through 22 August 1996

ER -

Rational Bézier and B-spline ruled surface patches

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