Details

Autor(en) / Beteiligte

• Hao, Yong-Xia
• Wang, Ren-Hong
• Li, Chong-Jun

Titel

Minimal quasi-Bézier surface

Ist Teil von

• Applied mathematical modelling, 2012-12, Vol.36 (12), p.5751-5757

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2012

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• The quasi-Bézier surface is a kind of commonly used surfaces in CAGD/CAD systems. In this paper, we study how to find the quasi-Bézier surface of minimal area among all the quasi-Bézier surfaces with prescribed borders, i.e., the Plateau-quasi-Bézier problem. The prescribed borders can not only be polynomial curves, but also catenaries and circular arcs. Moreover, the harmonic and biharmonic quasi-Bézier surfaces are investigated.