Az Eszterházy Károly Tanárképző Főiskola Tudományos Közleményei. 2001. Sectio Mathematicae (Acta Academiae Paedagogicae Agriensis : Nova series ; Tom. 28)

JUHÁSZ, I., A shape modification of B-spline curves by symmetric translation of two knots

A shape modification of B-spline curves by symmetric translation of two knots 73 Figure 2: A comparison of two constrained shape modifications gained by the modification of two knots, and by the alteration of a weight (n — 12, k = 3, i = 6). 2.1. Case k = 3 In this case the arc s

l

+i (u, A) can be written in the form s

i+

1 (u, A) - d, + Ui+

2 ~ U Nf (u) (di_i - d

7;) U

i

+2 - Ui - A + "~"'

+

1 N?

+

1(u)( d,

+

1d

i). Ui+3 - A - Ui+l