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Shape-preserving C1 Hermite interpolants generated by a Gori–Pitolli subdivision scheme

Published:2008-10 Issue:1-2 Volume:220 Page:686-711
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Pelosi Francesca,Sablonnière Paul

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference32 articles.

1. A Practical Guide to Splines;de Boor,2001

2. Monotone piecewise cubic interpolation;Carlson;SIAM J. Numer. Anal.,1980

3. Characterization of local strict convexity preserving interpolation by C1 functions;Carnicer;J. Approx. Theory,1994

4. Totally positive bases for shape preserving curves design and optimality of B-splines;Carnicer;Comput. Aided Geom. Design,1994

5. Total positivity and optimal bases;Carnicer,1996

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Shape preserving $$HC^2$$ H C 2 interpolatory subdivision;BIT Numerical Mathematics;2015-01-08

2. Rational splines for Hermite interpolation with shape constraints;Computer Aided Geometric Design;2013-03

3. A geometric approach for Hermite subdivision;Numerische Mathematik;2010-01-13

4. Shape Constraints and Optimal Bases for $C^1$ Hermite Interpolatory Subdivision Schemes;SIAM Journal on Numerical Analysis;2010-01

5. Multiresolution analyses originated from nonstationary subdivision schemes;Journal of Computational and Applied Mathematics;2008-11

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