TY - GEN
T1 - Approximating polynomial bezier curves using harmonic rational bezier curves
AU - Xia, J.
AU - Ge, Q. J.
N1 - Publisher Copyright:
Copyright © 1999 by ASME.
PY - 1999
Y1 - 1999
N2 - This paper deals with the problem of approximating polynomial Bezier curves with low-harmonic rational Bezier curves. It is shown that a polynomial Bezier curve is representable as a hybrid curve consisting of a low-harmonic curve with a moving control point. This hybrid representation leads directly to a low-harmonic approximation of a given polynomial curve. The approximation error is also analyzed. The result can be used to fine tune a polynomial trajectory for high-speed machinery to remove high harmonics from the trajectory.
AB - This paper deals with the problem of approximating polynomial Bezier curves with low-harmonic rational Bezier curves. It is shown that a polynomial Bezier curve is representable as a hybrid curve consisting of a low-harmonic curve with a moving control point. This hybrid representation leads directly to a low-harmonic approximation of a given polynomial curve. The approximation error is also analyzed. The result can be used to fine tune a polynomial trajectory for high-speed machinery to remove high harmonics from the trajectory.
UR - https://www.scopus.com/pages/publications/85101128534
U2 - 10.1115/DETC99/DAC-8655
DO - 10.1115/DETC99/DAC-8655
M3 - Conference contribution
AN - SCOPUS:85101128534
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 671
EP - 676
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 -