JOURNAL ARTICLE

Convexity preserving scattered data interpolation using Powell–Sabin elements

J. M. CarnicerT. N. T. GoodmanJ.M. Peña

Year: 2009 Journal:   Computer Aided Geometric Design Vol: 26 (7)Pages: 779-796   Publisher: Elsevier BV
Keywords:
Convexity Mathematics Interpolation (computer graphics) Piecewise Quadratic equation Constructive Function (biology) Applied mathematics Mathematical analysis Pure mathematics Algorithm Geometry Artificial intelligence Computer science

Metrics

8
Cited By
1.03
FWCI (Field Weighted Citation Impact)
23
Refs
0.79
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Advanced Numerical Analysis Techniques
Physical Sciences →  Engineering →  Computational Mechanics
Numerical methods in engineering
Physical Sciences →  Engineering →  Mechanics of Materials
Mathematical functions and polynomials
Physical Sciences →  Mathematics →  Applied Mathematics

Related Documents

JOURNAL ARTICLE

Convexity preserving interpolation and Powell-Sabin elements

J. M. CarnicerWolfgang Dahmen

Journal:   Computer Aided Geometric Design Year: 1992 Vol: 9 (4)Pages: 279-289
JOURNAL ARTICLE

Scattered data interpolation using minimum energy Powell-Sabin elements and data dependent triangulations

Shmuel Rippa

Journal:   Numerical Algorithms Year: 1993 Vol: 5 (11)Pages: 577-587
JOURNAL ARTICLE

Convexity-preserving scattered data interpolation

Abd Rahni Mt PiahAzizan SaabanAhmad Abd. Majid

Journal:   Mathematika Year: 2008 Vol: 24 Pages: 31-42
JOURNAL ARTICLE

Interpolation and scattered data fitting on manifolds using projected Powell-Sabin splines

Oleg DavydovLarry L. Schumaker

Journal:   IMA Journal of Numerical Analysis Year: 2007 Vol: 28 (4)Pages: 785-805
JOURNAL ARTICLE

Powell-Sabin splines in range restricted interpolation of scattered data

Bernd MulanskyJ. W. Schmidt

Journal:   Computing Year: 1994 Vol: 53 (2)Pages: 137-154
© 2026 ScienceGate Book Chapters — All rights reserved.