TY - JOUR
T1 - A modified Clough-Tocher interpolant
AU - Farin, Gerald
N1 - Funding Information:
This research was supported by DOE contract DE-AC02-82ER12046 to the University of Utah and by the University of Utah Research Committee. The paper has benefitted from discussions with the members of the Math CAGD group, especially with R.E. Barnhill, and from a suggestion by W. Bohm.
PY - 1985/9
Y1 - 1985/9
N2 - Clough-Tocher schemes are used to create surfaces that interpolate to positional and gradient values that may be arbitrarily located. A standard and a modified version of the Clough-Tocher interpolation scheme are described in terms of Bernstein-Bézier polynomials over triangles. Both methods are compared by a method that simulates reflection lines.
AB - Clough-Tocher schemes are used to create surfaces that interpolate to positional and gradient values that may be arbitrarily located. A standard and a modified version of the Clough-Tocher interpolation scheme are described in terms of Bernstein-Bézier polynomials over triangles. Both methods are compared by a method that simulates reflection lines.
KW - Bernstein-Bézier polynomials
KW - Surfaces
KW - reflection lines
KW - triangular interpolants
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U2 - 10.1016/0167-8396(85)90003-2
DO - 10.1016/0167-8396(85)90003-2
M3 - Article
AN - SCOPUS:0021482629
SN - 0167-8396
VL - 2
SP - 19
EP - 27
JO - Computer Aided Geometric Design
JF - Computer Aided Geometric Design
IS - 1-3
ER -