We present a non-stationary, non-uniform scheme for two-point Hermite subdivision. The novelty of this approach relies on a geometric interpretation of the subdivision steps-related to generalized Bernstein bases-which permits to overcome the usually unavoidable analytical difficulties. The main advantages consist in extra smoothness conditions, which in turn produce highly regular limit curves, and in an elegant structure of the subdivision-described by three de Casteljau type matrices. As a by-product, the scheme is inherently shape preserving.

Costantini, P., Manni, C. (2010). A Geometric Approach for Hermite Subdivision. NUMERISCHE MATHEMATIK, 115, 333-369 [10.1007/s00211-009-0280-0].

A Geometric Approach for Hermite Subdivision

MANNI, CARLA
2010-01-01

Abstract

We present a non-stationary, non-uniform scheme for two-point Hermite subdivision. The novelty of this approach relies on a geometric interpretation of the subdivision steps-related to generalized Bernstein bases-which permits to overcome the usually unavoidable analytical difficulties. The main advantages consist in extra smoothness conditions, which in turn produce highly regular limit curves, and in an elegant structure of the subdivision-described by three de Casteljau type matrices. As a by-product, the scheme is inherently shape preserving.
2010
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/08 - ANALISI NUMERICA
English
Con Impact Factor ISI
Subdivision, Hermite interpolation, Generalized Bernstein Basis, Bézier form, Shape-preservation
Costantini, P., Manni, C. (2010). A Geometric Approach for Hermite Subdivision. NUMERISCHE MATHEMATIK, 115, 333-369 [10.1007/s00211-009-0280-0].
Costantini, P; Manni, C
Articolo su rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/13606
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