TY - JOUR
T1 - The singular cases for γ-spline interpolation
AU - Farin, G.
AU - Hansford, D.
AU - Worsey, A.
N1 - Funding Information:
This research was supported in part by NSF grant DMC-8807747 and by DOE grant DE-FGO2-87ER25041 to Arizona State University and by NSF grant DMS-8803257 to the University of North Carolina at Wilmington. As always, Robert Barnhill was both helpful and supportive. Appreciated suggestions were provided by Wolfgang Boehm and Tony DeRose.
PY - 1990/11
Y1 - 1990/11
N2 - We derive a natural extension of Boehm's free-form γ-spline, the G2 interpolating γ-spline. Primarily, the conditions under which singularities in the spline formulation occur are investigated. Also, the effect that these singularities have on the interpolant are studied. Comparisons are made to the behavior of the interpolating ν-spline.
AB - We derive a natural extension of Boehm's free-form γ-spline, the G2 interpolating γ-spline. Primarily, the conditions under which singularities in the spline formulation occur are investigated. Also, the effect that these singularities have on the interpolant are studied. Comparisons are made to the behavior of the interpolating ν-spline.
KW - Geometric continuity
KW - spline interpolation.
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U2 - 10.1016/0167-8396(90)90014-I
DO - 10.1016/0167-8396(90)90014-I
M3 - Article
AN - SCOPUS:0025517371
SN - 0167-8396
VL - 7
SP - 533
EP - 546
JO - Computer Aided Geometric Design
JF - Computer Aided Geometric Design
IS - 6
ER -