Research Article

Variations in 2D and 3D Models by a New Family of Subdivision Schemes and Algorithms for its Analysis

Algorithm 4

Undershoot Gibbs phenomenon of the proposed schemes.
(1)input:, , (⊳) are taken from a discontinuous function, i.e.
(2)for to do
(3) calculate: ,
(4) calculate: .
5end for
(6)calculate: intervals of for which
(7)calculate: intervals of for which
(8)calculate: intersection of intervals of from Steps 6–7
(9)output: range of for which the given scheme exibits undershoot Gibbs phenomenon at specific level of subdivision .