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Monotonicity preservation on triangles
Author(s):
Michael
S.
Floater;
J.
M.
Peña.
Journal:
Math. Comp.
69
(2000),
1505-1519.
MSC (1991):
Primary 41A10, 65D17;
Secondary 41A63
Posted:
May 20, 1999
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Abstract:
It is well known that Bernstein polynomials on triangles preserve monotonicity. In this paper we define and study three kinds of monotonicity preservation of systems of bivariate functions on a triangle. We characterize and compare several of these systems and derive some geometric applications.
References:
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- [12]
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Additional Information:
Michael
S.
Floater
Affiliation:
SINTEF Applied Mathematics, P.O. Box 124 Blindern, 0314 Oslo, NORWAY
Email:
mif@math.sintef.no
J.
M.
Peña
Affiliation:
Departamento de Matemática Aplicada, Universidad de Zaragoza, Edificio de Mate- m{á}ticas, Planta 1a, 50009 Zaragoza, SPAIN
Email:
jmpena@posta.unizar.es
DOI:
10.1090/S0025-5718-99-01176-X
PII:
S 0025-5718(99)01176-X
Keywords:
Monotonicity,
shape preservation,
bivariate Bernstein polynomials,
control net
Received by editor(s):
May 27, 1997
Received by editor(s) in revised form:
December 7, 1998
Posted:
May 20, 1999
Additional Notes:
The authors were supported in part by the EU project CHRX-CT94-0522.
Copyright of article:
Copyright
2000,
American Mathematical Society
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