TY - GEN
T1 - Geometric design of smooth composite ruled surface strips using dual spherical geometry
AU - Ge, Q. J.
AU - Kang, Donglai
N1 - Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1995
Y1 - 1995
N2 - This paper deals with geometric construction of smooth composite ruled surface strips. Oriented lines that constitute the ruhngs of the ruled sturfaces are represented by unit vectors with three components over the ring of dual numbers. The problem of designing a smooth ruled surface is studied as that of designing a one-real-parametric curve on the unit dual sphere. Geometric conditions for piecing two ruled surfaces smoothly are developed using differential geometry of curves on the dual sphere. A coordinateframe invariant method for line segmentation is also presented. Finally, a geometric algorithm is presented for constructing composite Bezier ruled surface strips with secondorder geometric continuity. The resulting surface strips are coordinate-frame invariant and their rulings are more uniformly parameterized than those obtained with other methods.
AB - This paper deals with geometric construction of smooth composite ruled surface strips. Oriented lines that constitute the ruhngs of the ruled sturfaces are represented by unit vectors with three components over the ring of dual numbers. The problem of designing a smooth ruled surface is studied as that of designing a one-real-parametric curve on the unit dual sphere. Geometric conditions for piecing two ruled surfaces smoothly are developed using differential geometry of curves on the dual sphere. A coordinateframe invariant method for line segmentation is also presented. Finally, a geometric algorithm is presented for constructing composite Bezier ruled surface strips with secondorder geometric continuity. The resulting surface strips are coordinate-frame invariant and their rulings are more uniformly parameterized than those obtained with other methods.
UR - https://www.scopus.com/pages/publications/85103449394
U2 - 10.1115/DETC1995-0086
DO - 10.1115/DETC1995-0086
M3 - Conference contribution
AN - SCOPUS:85103449394
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 659
EP - 664
BT - 21st Design Automation Conference
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Y2 - 17 September 1995 through 20 September 1995
ER -