### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | Universiteit Twente |

Number of pages | 18 |

Publication status | Published - 1998 |

### Publication series

Name | Memorandum Faculteit TW |
---|---|

Publisher | Department of Applied Mathematics, University of Twente |

No. | 1452 |

ISSN (Print) | 0169-2690 |

### Keywords

- METIS-141121
- IR-65649
- Convexity
- Shape preservation
- Rational stationary subdivision
- positivity
- MSC-65D15
- EWI-3272
- monotonicity
- smoothness
- MSC-65D07
- MSC-41A15
- MSC-41A29

### Cite this

*Shape preserving C*. (Memorandum Faculteit TW; No. 1452). Enschede: Universiteit Twente.

^{2}interpolatory subdivision schemes}

*Shape preserving C*. Memorandum Faculteit TW, no. 1452, Universiteit Twente, Enschede.

^{2}interpolatory subdivision schemes**Shape preserving C ^{2} interpolatory subdivision schemes.** / Kuijt, F.; van Damme, Rudolf M.J.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Shape preserving C2 interpolatory subdivision schemes

AU - Kuijt, F.

AU - van Damme, Rudolf M.J.

N1 - Imported from MEMORANDA

PY - 1998

Y1 - 1998

N2 - Stationary interpolatory subdivision schemes which preserve shape properties such as convexity or monotonicity are constructed. The schemes are rational in the data and generate limit functions that are at least $C^2$. The emphasis is on a class of six-point convexity preserving subdivision schemes that generate $C^2$ limit functions. In addition, a class of six-point monotonicity preserving schemes that also leads to $C^2$ limit functions is introduced. As the algebra is far too complicated for an analytical proof of smoothness, validation has been performed by a simple numerical methodology.

AB - Stationary interpolatory subdivision schemes which preserve shape properties such as convexity or monotonicity are constructed. The schemes are rational in the data and generate limit functions that are at least $C^2$. The emphasis is on a class of six-point convexity preserving subdivision schemes that generate $C^2$ limit functions. In addition, a class of six-point monotonicity preserving schemes that also leads to $C^2$ limit functions is introduced. As the algebra is far too complicated for an analytical proof of smoothness, validation has been performed by a simple numerical methodology.

KW - METIS-141121

KW - IR-65649

KW - Convexity

KW - Shape preservation

KW - Rational stationary subdivision

KW - positivity

KW - MSC-65D15

KW - EWI-3272

KW - monotonicity

KW - smoothness

KW - MSC-65D07

KW - MSC-41A15

KW - MSC-41A29

M3 - Report

T3 - Memorandum Faculteit TW

BT - Shape preserving C2 interpolatory subdivision schemes

PB - Universiteit Twente

CY - Enschede

ER -

^{2}interpolatory subdivision schemes. Enschede: Universiteit Twente, 1998. 18 p. (Memorandum Faculteit TW; 1452).