Nonnegativity preserving macro-element interpolation of scattered data

Abstract. Nonnegative bivariate interpolants to scattered data are constructed using some C1 macro-element spline spaces. The methods are local, and rely on adjusting gradients at the data points to insure nonnegativity of the spline when the original data is nonnegative. More general range-restricted interpolation is also considered.

• Type: Journal
• Year: 2010
• Where: CAGD
• Authors: Larry L. Schumaker, Hendrik Speleers
• Keywords: CAGD 2010, Macro-element Spline, Nonnegative Bivariate Interpolants, Original Data