Monotonicity preservation on triangles

Floater, Michael; Peña, J.

doi:10.1090/S0025-5718-99-01176-X

Monotonicity preservation on triangles
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by Michael S. Floater and J. M. Peña PDF

Math. Comp. 69 (2000), 1505-1519 Request permission

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.

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