TY - GEN
T1 - Rational bezier line-symmetric motions
AU - Li, Shutian
AU - Ge, Q. J.
N1 - Publisher Copyright:
Copyright © 1999 by ASME.
PY - 1999
Y1 - 1999
N2 - This paper brings together line geometry, kinematic geometry of line-symmetric motions, and computer aided geometric design to develop a method for geometric design of rational Bezier line-symmetric motions. By taking advantage of the kinematic geometry of a line-symmetric motion, the problem of synthesizing a rational Bezier line-symmetric motion is reduced to that of designing a rational Bezier ruled surface. In this way, a recently developed de Casteljau algorithm for line-geometric design of ruled surfaces can be applied. An example is presented in which the Bennet motion is represented as a rational Bezier line-symmetric motion whose basic surface is a hyperboloid.
AB - This paper brings together line geometry, kinematic geometry of line-symmetric motions, and computer aided geometric design to develop a method for geometric design of rational Bezier line-symmetric motions. By taking advantage of the kinematic geometry of a line-symmetric motion, the problem of synthesizing a rational Bezier line-symmetric motion is reduced to that of designing a rational Bezier ruled surface. In this way, a recently developed de Casteljau algorithm for line-geometric design of ruled surfaces can be applied. An example is presented in which the Bennet motion is represented as a rational Bezier line-symmetric motion whose basic surface is a hyperboloid.
UR - https://www.scopus.com/pages/publications/84862053599
U2 - 10.1115/DETC99/DAC-8654
DO - 10.1115/DETC99/DAC-8654
M3 - Conference contribution
AN - SCOPUS:84862053599
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 663
EP - 670
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 -