2010
DOI: 10.1007/s00607-010-0108-x
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The mask of (2b + 4)-point n-ary subdivision scheme

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Cited by 20 publications
(11 citation statements)
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“…Mustafa and Khan [5] showed ternary 6-point interpolation subdivision scheme which used shape parameter for designing curves. A general formulae was introduced by Muatafa and Rehman [6] to cover (2b+4)-point n-ary interpolation and approximation schemes for every integers b 0 and n2. Mustafa and Bashir [7] proposed a very potential but easy algorithm for producing 4-point n-ary interpolation scheme.…”
Section: Introductionmentioning
confidence: 99%
“…Mustafa and Khan [5] showed ternary 6-point interpolation subdivision scheme which used shape parameter for designing curves. A general formulae was introduced by Muatafa and Rehman [6] to cover (2b+4)-point n-ary interpolation and approximation schemes for every integers b 0 and n2. Mustafa and Bashir [7] proposed a very potential but easy algorithm for producing 4-point n-ary interpolation scheme.…”
Section: Introductionmentioning
confidence: 99%
“…Mustafa and Khan [22] constructed a new 4-point quaternary approximating subdivision scheme having the higher smoothness and approximation order but smaller support than existing 4-point binary and ternary schemes. Mustafa and Rehman [24] have presented general formulae for the mask of (2b + 4)-point n-ary interpolating and approximating schemes for any integer b 0 and n 2. Ghaffar et al [12,13] have presented an explicit formulae for the mask of 3-point and 4-point a-ary approximating subdivision schemes, respectively.…”
Section: Introductionmentioning
confidence: 99%
“…Zheng et al [18] presented p-ary subdivision generalizing B-splines. Mustafa and Najma [14] unified all existing even-point interpolating and approximating schemes by offering general formula for the mask of (2b + 4 )-point even-ary subdivision scheme. Now we present brief review of higher arity schemes having odd-point complex ity.…”
Section: Introductionmentioning
confidence: 99%