A = 



6. 



Z = 



(d 1+ d 2 ) 



i-2 



i-l 



m-1 



, and B = 



(d 9 +d ,) 

 m-2 m-1 



d 9 +d 

 m-2 m-1 



(y 3 -y 2 ) ^2" y P 



(y -y„ ,) (y m -y m i) 



m m- I m m- l 



m m-1 







Utilizing this solution in equation (6) yields an interpolation formula 

 which fits each given data value exactly, has continuous first and second 

 derivatives and is a simple cubic polynomial in x within the interval between 

 each pair of data points. 



Since the cubic spline is a function of only one independent variable, 

 the data obtained along a survey track must be adjusted to lie on a straight 

 line. The interpolation may then be accomplished by utilizing distance along 

 track as the independent variable. The procedure presented by Bhattacharyya 



