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

Algorithm 3

Reproduction degree of the schemes.

(1)	input: The symbol of the proposed schemes, i.e.
	, (⊳) are the coefficients (depends on ) of respectively in
(2)	calculate:
(3)	for to do
(4)	calculate: , and
(5)	ifthen and
(6)	scheme reproduce polynomials of degree
(7)	else
(8)	calculate: , and for
(9)	if and for then
(10)	scheme reproduce polynomials of degree for
(11)	else
(12)	go to 15
(13)	end if
(14)	end if
(15)	end for
(16)	output: degree of reproduction of the schemes corresponding to for all or for