TY - GEN
T1 - CLOSED-FORM SWEPT VOLUME OF IMPLICIT SURFACES
AU - Abdel-Malek, Karim
AU - Yang, Jingzhou
AU - Blackmore, Denis
N1 - Publisher Copyright:
© 2000 by ASME.
PY - 2000
Y1 - 2000
N2 - Recent developments in formulations for generating swept volumes have made a significant impact on the efficiency of employing such algorithms and on the extent to which formulations can be used in representing complex shapes. In this paper, we outline a method for employing the representation of implicit surfaces using the Jacobian rank deficiency condition presented earlier for the sweep of parametric surfaces. A numerical and broadly applicable analytic formulation is developed that yields the exact swept volume.
AB - Recent developments in formulations for generating swept volumes have made a significant impact on the efficiency of employing such algorithms and on the extent to which formulations can be used in representing complex shapes. In this paper, we outline a method for employing the representation of implicit surfaces using the Jacobian rank deficiency condition presented earlier for the sweep of parametric surfaces. A numerical and broadly applicable analytic formulation is developed that yields the exact swept volume.
UR - http://www.scopus.com/inward/record.url?scp=1542623079&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=1542623079&partnerID=8YFLogxK
U2 - 10.1115/DETC2000/DAC-14232
DO - 10.1115/DETC2000/DAC-14232
M3 - Conference contribution
AN - SCOPUS:1542623079
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 509
EP - 514
BT - 26th Design Automation Conference
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2000
Y2 - 10 September 2000 through 13 September 2000
ER -