Computer aided geometric design of two-parameter freeform motions

Q. J. Ge; M. Sirchia

doi:10.1115/DETC98/MECH-5876

Computer aided geometric design of two-parameter freeform motions

Q. J. Ge
, M. Sirchia

Mechanical Engineering

Stony Brook University

Stony Brook University

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

Abstract

This paper brings together the notion of analytically defined two-parameter motion in Theoretical Kinematics and the notion of freeform surfaces in Computer Aided Geometric Design (CAGD) to develop methods for computer aided design of two-parameter freeform motions. In particular, a rational B ezier representation for two-parameter freeform motions is developed. It has been shown that the trajectory surface of such a motion is a tensor-product rational B ezier surface and that such a kinematically generated surface has a geometric as well as a kinematic control structure. The results have not only theoretical interest in CAGD and kinematics but also applications in CAD/CAM and Robotics.

Original language	English
Title of host publication	25th Biennial Mechanisms Conference
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791880302
DOIs	https://doi.org/10.1115/DETC98/MECH-5876
State	Published - 1998
Event	ASME 1998 Design Engineering Technical Conferences, DETC 1998 - Atlanta, United States Duration: Sep 13 1998 → Sep 16 1998

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	1A-1998

Conference

Conference	ASME 1998 Design Engineering Technical Conferences, DETC 1998
Country/Territory	United States
City	Atlanta
Period	09/13/98 → 09/16/98

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10.1115/DETC98/MECH-5876

Cite this

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title = "Computer aided geometric design of two-parameter freeform motions",

abstract = "This paper brings together the notion of analytically defined two-parameter motion in Theoretical Kinematics and the notion of freeform surfaces in Computer Aided Geometric Design (CAGD) to develop methods for computer aided design of two-parameter freeform motions. In particular, a rational B ezier representation for two-parameter freeform motions is developed. It has been shown that the trajectory surface of such a motion is a tensor-product rational B ezier surface and that such a kinematically generated surface has a geometric as well as a kinematic control structure. The results have not only theoretical interest in CAGD and kinematics but also applications in CAD/CAM and Robotics.",

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

note = "Publisher Copyright: {\textcopyright} 1998 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1998 Design Engineering Technical Conferences, DETC 1998 ; Conference date: 13-09-1998 Through 16-09-1998",

year = "1998",

doi = "10.1115/DETC98/MECH-5876",

language = "English",

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

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

booktitle = "25th Biennial Mechanisms Conference",

}

Ge, QJ & Sirchia, M 1998, Computer aided geometric design of two-parameter freeform motions. in 25th Biennial Mechanisms Conference. Proceedings of the ASME Design Engineering Technical Conference, vol. 1A-1998, American Society of Mechanical Engineers (ASME), ASME 1998 Design Engineering Technical Conferences, DETC 1998, Atlanta, United States, 09/13/98. https://doi.org/10.1115/DETC98/MECH-5876

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AU - Ge, Q. J.

AU - Sirchia, M.

PY - 1998

Y1 - 1998

N2 - This paper brings together the notion of analytically defined two-parameter motion in Theoretical Kinematics and the notion of freeform surfaces in Computer Aided Geometric Design (CAGD) to develop methods for computer aided design of two-parameter freeform motions. In particular, a rational B ezier representation for two-parameter freeform motions is developed. It has been shown that the trajectory surface of such a motion is a tensor-product rational B ezier surface and that such a kinematically generated surface has a geometric as well as a kinematic control structure. The results have not only theoretical interest in CAGD and kinematics but also applications in CAD/CAM and Robotics.

AB - This paper brings together the notion of analytically defined two-parameter motion in Theoretical Kinematics and the notion of freeform surfaces in Computer Aided Geometric Design (CAGD) to develop methods for computer aided design of two-parameter freeform motions. In particular, a rational B ezier representation for two-parameter freeform motions is developed. It has been shown that the trajectory surface of such a motion is a tensor-product rational B ezier surface and that such a kinematically generated surface has a geometric as well as a kinematic control structure. The results have not only theoretical interest in CAGD and kinematics but also applications in CAD/CAM and Robotics.

UR - https://www.scopus.com/pages/publications/85100943509

U2 - 10.1115/DETC98/MECH-5876

DO - 10.1115/DETC98/MECH-5876

M3 - Conference contribution

T3 - Proceedings of the ASME Design Engineering Technical Conference

BT - 25th Biennial Mechanisms Conference

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 1998 Design Engineering Technical Conferences, DETC 1998

Y2 - 13 September 1998 through 16 September 1998

ER -

Computer aided geometric design of two-parameter freeform motions

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