Accesso libero

Dual quaternion-based osculating circle algorithm for finding intersection curves

   | 02 feb 2022
INFORMAZIONI SU QUESTO ARTICOLO

Cita

C. Asteasu, Intersection of arbitrary surfaces. Computer Aided Design, 20 (1988) 533–538. ⇒30410.1016/0010-4485(88)90043-7Search in Google Scholar

R. E. Barnhill, S. N. Kersey, A marching method for parametric surface/surface intersection. Computer Aided Geometric Design, 7 (1990) 257–280. ⇒30410.1016/0167-8396(90)90035-PSearch in Google Scholar

W. Clifford, Preliminary sketch of bi-quaternions. Proc. London Math. Soc., 4, 1 (1873) 381–395. ⇒30510.1112/plms/s1-4.1.381Search in Google Scholar

M. Do Carmo, Di erential geometry of curves and surfaces. Prentice-Hall, New Jersey, 1976. ⇒307Search in Google Scholar

W. R. Hamilton, On quaternions; or a new system of imaginaries in algebra.vPhil. Mag. J. 25 (1844) 489–495. ⇒30510.1080/14786444408645047Search in Google Scholar

W. R. Hamilton, Elements of quaternions, Vol. I and II. Chelsea Publishing Company, New York, 1869. ⇒305Search in Google Scholar

B. Kenwright A beginners guide to dual-quaternions: What they are, how they work and how to use them for 3d character hierarchies. In The 20th International Conference on Computer Graphics, Visualization and Computer Vision, 2012. ⇒304, 306Search in Google Scholar

R. E. Lynch, C. L. Bajaj, C. M. Ho man, J. E. H. Hopcroft, Tracing surface intersections. Computer Aided Geometric Design, 5 (1988) 285–307. ⇒30310.1016/0167-8396(88)90010-6Search in Google Scholar

M. E. Mortenson, Geometric Modeling. Wiley, USA, 1 st ed. 1985. ⇒304Search in Google Scholar

N. M. Patrikalakis, Surface-to-surface intersections. Computer Graphics and Applications, IEEE, 13, 1 (1993) 89–95. ⇒30310.1109/38.180122Search in Google Scholar

E. Salamin, Application of quaternions to computation with rotations. Technical Report, Stanford Univ, 1979. ⇒305Search in Google Scholar

Tz. E. Stoyanov, Marching along surface/surface intersection curves with an adaptive step length. Computer Aided Geometric Design, 9 (1992) 485–489. ⇒30410.1016/0167-8396(92)90046-RSearch in Google Scholar

G. R. Veldkamp On the use of dual numbers, vectors, and matrices in instantaneous spatial kinematics. Mech. Mach. Theory, 11 (1976) 141–156. ⇒30410.1016/0094-114X(76)90006-9Search in Google Scholar

M. Ventura, C. G. Soares, Surface intersection in geometric modeling of ship hulls. Journal of Marine Science and Technology, 17, 1 (2012) 114–124. ⇒30710.1007/s00773-011-0145-ySearch in Google Scholar

S. T. Wu, L. Andrade, Marching along a regular surface/surface intersection with circular steps. Computer Aided Geometric Design, 16, 4 (1999) 249–268. ⇒304, 307, 308, 309, 314, 316, 317, 319, 321, 32210.1016/S0167-8396(98)00048-XSearch in Google Scholar

A. T. Yang, Application of Quaternion Algebra and Dual numbers to the Analysis of Spatial Mechanisms. PhD thesis, Columbia University, 1963. ⇒304Search in Google Scholar

X. Ye, T. Maekawa Di erential geometry of intersection curves of two surfaces. Computer Aided Geometric Design, 16 (1999) 767–788. ⇒30710.1016/S0167-8396(99)00018-7Search in Google Scholar

J. Zara, L. Kavan, S. Collins, C. O’Sullivan, Skinning with dual quaternions. In Proceedgings of ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, 2007. ⇒306Search in Google Scholar

eISSN:
2066-7760
Lingua:
Inglese
Frequenza di pubblicazione:
2 volte all'anno
Argomenti della rivista:
Computer Sciences, other