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

Algorithm 2

Generation degree of the schemes.

(1)	input: The symbol of the proposed schemes, i.e. , (⊳) are the coefficients (depends on ) of respectively in
(2)	ifthen
(3)
(4)	for to do
(5)	calculate: (⊳) denotes the -th derivative of evaluated at
(6)	ifthen
(7)	return scheme generates polynomials up to degree for
(8)	else
(9)	go to 22
(10)	end if
(11)	end for
(12)	else
(13)	(⊳) are the coefficients (depends on ) of respectively in
(14)	for to do
(15)	calculate:
(16)	ifthen
(17)	return scheme generates polynomials up to degree for all
(18)	else
(19)	go to 22
(20)	end if
(21)	end for
(22)	end if
(23)	output: degree of generation of the schemes corresponding to for all or for .