TY - JOUR
T1 - Surfaces over Dirichlet tessellations
AU - Farin, Gerald
N1 - Funding Information:
This research was supported in part by NSF grant DMC-8807747 and by DOE grant DE-FG02-87ER25041 to Arizona State University. Thanks go to D. Hansford for the implementation of the interpolant f3 as well as Sibson’s Co and C’ interpolant and the generation of the shaded images. The programs made use of a Dirichlet tessellation package written by B. Piper. We also appreciate A. Worsey’s help--during a research discussion at the Oberwolfach Mathematics Institute-with the bilinear precision property of Sibson’s interpolant.
PY - 1990/6
Y1 - 1990/6
N2 - We develop a new class of surfaces, based on the concept of Bézier simplices expressed in terms of Sibson's natural neighbor coordinates. We also show how these surfaces may be utilized for scattered data interpolation.
AB - We develop a new class of surfaces, based on the concept of Bézier simplices expressed in terms of Sibson's natural neighbor coordinates. We also show how these surfaces may be utilized for scattered data interpolation.
KW - Bézier simplices
KW - Dirichlet tessellation
KW - scattered data interpolation
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U2 - 10.1016/0167-8396(90)90036-Q
DO - 10.1016/0167-8396(90)90036-Q
M3 - Article
AN - SCOPUS:0025439845
SN - 0167-8396
VL - 7
SP - 281
EP - 292
JO - Computer Aided Geometric Design
JF - Computer Aided Geometric Design
IS - 1-4
ER -