@book{f830b5ee946446faa934ebb63356f920,

title = "Shape preserving C2 interpolatory subdivision schemes",

abstract = "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.",

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

author = "F. Kuijt and {van Damme}, {Rudolf M.J.}",

note = "Imported from MEMORANDA",

year = "1998",

language = "Undefined",

series = "Memorandum Faculteit TW",

publisher = "University of Twente",

number = "1452",

address = "Netherlands",

}