Totally positive blending bases present good shape preserving properties when they are used in CAGD. Among these bases there exist special bases, called B-bases, which have optimal shape preserving properties. In particular, the corresponding control polygon is nearest to the curve among all the control polygons; thus many geometrical properties are similar to the ones of the curve. Examples of totally positive blending B-bases are the Bernstein polynomials and the B-spline basis. Our purpose is to construct new classes of such bases starting from compactly supported totally positive scaling functions.
A class of totally positive blending B-bases / Gori, Laura; Pezza, Laura; Pitolli, Francesca. - STAMPA. - I:(2000), pp. 119-126. (Intervento presentato al convegno Fourth International Conference on Curve and Surface Design tenutosi a S. Malo (France) nel Luglio 1999).
A class of totally positive blending B-bases
GORI, Laura;PEZZA, Laura;PITOLLI, Francesca
2000
Abstract
Totally positive blending bases present good shape preserving properties when they are used in CAGD. Among these bases there exist special bases, called B-bases, which have optimal shape preserving properties. In particular, the corresponding control polygon is nearest to the curve among all the control polygons; thus many geometrical properties are similar to the ones of the curve. Examples of totally positive blending B-bases are the Bernstein polynomials and the B-spline basis. Our purpose is to construct new classes of such bases starting from compactly supported totally positive scaling functions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
