Conversion between triangular Bézier patches and rectangular Bézier patches

In this paper, two explicit conversion formulae between triangular and rectangular Bézier patches are derived. Using the formulae, one triangular Bézier patch of degree n can be converted into one rectangular Bézier patch of degree n×n. And one rectangular Bézier patch of degree m×n can be converted...

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Veröffentlicht in:	Applied mathematics and computation Jg. 232; S. 469 - 478
Hauptverfasser:	Yan, Lanlan, Han, Xuli, Liang, Jiongfeng
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 01.04.2014
Schlagworte:	Algorithms Bezier patches Computation Conversion Conversion algorithm Converting Mathematical models Rectangular Bézier surface Recursive Triangular Bézier surface Rectangular Bézier surface Conversion algorithm Triangular Bézier surface
ISSN:	0096-3003, 1873-5649
Online-Zugang:	Volltext
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