On Bezier surfaces in three-dimensional Minkowski space

Ugail H., Marquez M. C., YILMAZ A.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.62, sa.8, ss.2899-2912, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 62 Sayı: 8
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.camwa.2011.07.065
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2899-2912
  • Anahtar Kelimeler: Bezier surface, Timelike surface, Spacelike surface, Minkowski space, Minimal surface, Maximal surface, CONSTANT MEAN-CURVATURE
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we study Bezier surfaces in R-1(3) three-dimensional Minkowski space. In particular, we focus on timelike and spacelike cases for Bezier surfaces. We also deal with the Plateau-Bezier problem in R-1(3), obtaining conditions over the control net to be extremal of the Dirichlet function for both timelike and spacelike Bezier surfaces. Moreover, we provide interesting examples showing the behavior of the Plateau-Bezier problem in R-1(3) and illustrating the relationship between it and the corresponding Plateau-Bezier problem in the Euclidean space R-3. (C) 2011 Elsevier Ltd. All rights reserved.