Abstract
Original language | Undefined |
---|---|
Place of Publication | Enschede |
Publisher | Universiteit Twente |
Number of pages | 4 |
Publication status | Published - 1998 |
Publication series
Name | Memorandum Faculteit TW |
---|---|
Publisher | Universiteit Twente |
No. | 1457 |
Keywords
- MSC-41A29
- METIS-141108
- IR-30468
- Convexity preservation
- MSC-65D17
- EWI-3277
- Stationary subdivision scheme
- MSC-65D05
- MSC-41A05
Cite this
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Convexity preservation of the four-point interpolatory subdivision scheme. / Dyn, Nira; Kuijt, F.; Levin, David; van Damme, Rudolf M.J.
Enschede : Universiteit Twente, 1998. 4 p. (Memorandum Faculteit TW; No. 1457).Research output: Book/Report › Report › Professional
TY - BOOK
T1 - Convexity preservation of the four-point interpolatory subdivision scheme
AU - Dyn, Nira
AU - Kuijt, F.
AU - Levin, David
AU - van Damme, Rudolf M.J.
N1 - Imported from MEMORANDA
PY - 1998
Y1 - 1998
N2 - In this note we examine the convexity preserving properties of the (linear) four-point interpolatory subdivision scheme of Dyn, Gregory and Levin when applied to functional univariate strictly-convex data. Conditions on the tension parameter guaranteeing preservation of convexity are derived. These conditions depend on the initial data. The resulting scheme is the four-point scheme with tension parameter bounded from above by a bound smaller than $1/16$. Thus the scheme generates $C^1$ limit functions and has approximation order two.
AB - In this note we examine the convexity preserving properties of the (linear) four-point interpolatory subdivision scheme of Dyn, Gregory and Levin when applied to functional univariate strictly-convex data. Conditions on the tension parameter guaranteeing preservation of convexity are derived. These conditions depend on the initial data. The resulting scheme is the four-point scheme with tension parameter bounded from above by a bound smaller than $1/16$. Thus the scheme generates $C^1$ limit functions and has approximation order two.
KW - MSC-41A29
KW - METIS-141108
KW - IR-30468
KW - Convexity preservation
KW - MSC-65D17
KW - EWI-3277
KW - Stationary subdivision scheme
KW - MSC-65D05
KW - MSC-41A05
M3 - Report
T3 - Memorandum Faculteit TW
BT - Convexity preservation of the four-point interpolatory subdivision scheme
PB - Universiteit Twente
CY - Enschede
ER -