and 



b 1+1 = (•¥ n - r * )/(t a - (* ) 2 ) , (13) 



n n n n n J/ n n rr 



c i+1 = (r t - r $ )/(t a - (* ) 2 ) , (14) 



n n n n n J/ n n n' 



where i=l,2... denotes the iteration number, A is the transform 

 generated arc length and 



X X 



. , o , „i+l 

 smh^ nkg + 



y y_ 



cosh 2 nk3 1+1 , (15) 



(W^W' 1 ) (W^-tV 55 ' 1 ) 



t = 1* — x / y — y — sm 2nks 



n 4 



i+1 



(16) 



_z y_ 



• 1.2 i ^i + l 



sinn nkg + 



,- TiT c,i „.s,i 

 W +W 



X X 



cosh 2 nkg ,(17) 



¥ = 5inh nkBl+1 [W Cji / (X^A 1 ) - 5) sin nU d ? 

 n X x 



. A 

 - W 55 ' 1 / (X s (A 1 ) - 5) sin nk£ d£ ] 

 x o 



cosh nkg r»T c »i r V c ( -A i 



[W ' / Y (A ) cos nk£ d£ 



y o 



+ IV s ' 1 / Y S (A 1 ) cos nU dc] , (18) 



y o 



