On the exact representation of the boundary surfaces of the swept volume of a cylinder undergoing rational bezier and B-spline motions

J. Xia; Q. J. Ge

doi:10.1115/DETC99/DAC-8607

On the exact representation of the boundary surfaces of the swept volume of a cylinder undergoing rational bezier and B-spline motions

J. Xia
, Q. J. Ge

Mechanical Engineering

Stony Brook University

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

5 Scopus citations

Abstract

This paper develops methods for the exact analysis and representation of the swept volume of a circular cylinder undergoing rational Bezier and B-spline motions. Instead of following the traditional approach of analyzing the point trajectory of an object motion for swept volume analysis, this paper seeks to develop a new approach to swept volume analysis by studying the plane trajectory of a rational motion. It seeks to bring together recent work in swept volume analysis, plane representation of developable surfaces, as well as computer aided synthesis of freeform rational motions. The results have applications in design and approximation of freeforms surfaces as well as tool path planning for 5-axis machining of freeform surfaces.

Original language	English
Title of host publication	25th Design Automation Conference
Publisher	American Society of Mechanical Engineers (ASME)
Pages	375-384
Number of pages	10
ISBN (Electronic)	9780791819715
DOIs	https://doi.org/10.1115/DETC99/DAC-8607
State	Published - 1999
Event	ASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States Duration: Sep 12 1999 → Sep 16 1999

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	1

Conference

Conference	ASME 1999 Design Engineering Technical Conferences, DETC 1999
Country/Territory	United States
City	Las Vegas
Period	09/12/99 → 09/16/99

Access to Document

10.1115/DETC99/DAC-8607

Cite this

Xia, J., & Ge, Q. J. (1999). On the exact representation of the boundary surfaces of the swept volume of a cylinder undergoing rational bezier and B-spline motions. In 25th Design Automation Conference (pp. 375-384). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC99/DAC-8607

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title = "On the exact representation of the boundary surfaces of the swept volume of a cylinder undergoing rational bezier and B-spline motions",

abstract = "This paper develops methods for the exact analysis and representation of the swept volume of a circular cylinder undergoing rational Bezier and B-spline motions. Instead of following the traditional approach of analyzing the point trajectory of an object motion for swept volume analysis, this paper seeks to develop a new approach to swept volume analysis by studying the plane trajectory of a rational motion. It seeks to bring together recent work in swept volume analysis, plane representation of developable surfaces, as well as computer aided synthesis of freeform rational motions. The results have applications in design and approximation of freeforms surfaces as well as tool path planning for 5-axis machining of freeform surfaces.",

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

note = "Publisher Copyright: Copyright {\textcopyright} 1999 by ASME.; ASME 1999 Design Engineering Technical Conferences, DETC 1999 ; Conference date: 12-09-1999 Through 16-09-1999",

year = "1999",

doi = "10.1115/DETC99/DAC-8607",

language = "English",

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

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

pages = "375--384",

booktitle = "25th Design Automation Conference",

}

Xia, J & Ge, QJ 1999, On the exact representation of the boundary surfaces of the swept volume of a cylinder undergoing rational bezier and B-spline motions. in 25th Design Automation Conference. Proceedings of the ASME Design Engineering Technical Conference, vol. 1, American Society of Mechanical Engineers (ASME), pp. 375-384, ASME 1999 Design Engineering Technical Conferences, DETC 1999, Las Vegas, United States, 09/12/99. https://doi.org/10.1115/DETC99/DAC-8607

On the exact representation of the boundary surfaces of the swept volume of a cylinder undergoing rational bezier and B-spline motions. / Xia, J.; Ge, Q. J.
25th Design Automation Conference. American Society of Mechanical Engineers (ASME), 1999. p. 375-384 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1).

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

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T1 - On the exact representation of the boundary surfaces of the swept volume of a cylinder undergoing rational bezier and B-spline motions

AU - Xia, J.

AU - Ge, Q. J.

PY - 1999

Y1 - 1999

N2 - This paper develops methods for the exact analysis and representation of the swept volume of a circular cylinder undergoing rational Bezier and B-spline motions. Instead of following the traditional approach of analyzing the point trajectory of an object motion for swept volume analysis, this paper seeks to develop a new approach to swept volume analysis by studying the plane trajectory of a rational motion. It seeks to bring together recent work in swept volume analysis, plane representation of developable surfaces, as well as computer aided synthesis of freeform rational motions. The results have applications in design and approximation of freeforms surfaces as well as tool path planning for 5-axis machining of freeform surfaces.

AB - This paper develops methods for the exact analysis and representation of the swept volume of a circular cylinder undergoing rational Bezier and B-spline motions. Instead of following the traditional approach of analyzing the point trajectory of an object motion for swept volume analysis, this paper seeks to develop a new approach to swept volume analysis by studying the plane trajectory of a rational motion. It seeks to bring together recent work in swept volume analysis, plane representation of developable surfaces, as well as computer aided synthesis of freeform rational motions. The results have applications in design and approximation of freeforms surfaces as well as tool path planning for 5-axis machining of freeform surfaces.

UR - https://www.scopus.com/pages/publications/0004023759

U2 - 10.1115/DETC99/DAC-8607

DO - 10.1115/DETC99/DAC-8607

M3 - Conference contribution

AN - SCOPUS:0004023759

T3 - Proceedings of the ASME Design Engineering Technical Conference

SP - 375

EP - 384

BT - 25th Design Automation Conference

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 1999 Design Engineering Technical Conferences, DETC 1999

Y2 - 12 September 1999 through 16 September 1999

ER -

On the exact representation of the boundary surfaces of the swept volume of a cylinder undergoing rational bezier and B-spline motions

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