Jüttler, Bert; Oberneder, Margot; Sinwel, Astrid On the existence of biharmonic tensor-product Bézier surface patches. (English) Zbl 1101.65017 Comput. Aided Geom. Des. 23, No. 7, 612-615 (2006). Summary: A tensor-product Bézier surface patch \(x\) of degree \((m,n)\) is called biharmonic if it satisfies \(\Delta ^{2}x=0\). As shown by J. Monterde and H. Ugail [ibid. 21, No. 7, 697–715 (2004; Zbl 1069.65526)], these surface patches are fully determined by their four boundaries. In this note we derive necessary conditions for their existence. Cited in 9 Documents MSC: 65D17 Computer-aided design (modeling of curves and surfaces) Keywords:bilaplacian operator; biharmonic surfaces Citations:Zbl 1069.65526 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Monterde, J.; Ugail, H., On harmonic and biharmonic Bézier surfaces, Computer Aided Geometric Design, 21, 697-715 (2004) · Zbl 1069.65526 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.