Curve fitting with end-constraints based on a modification of Hiroshi-Akima's method

Janardhan, S and Rajagopal, KS and Muralidharan, SK (1975) Curve fitting with end-constraints based on a modification of Hiroshi-Akima's method. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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    Abstract

    The method of Hiroshi Akima gives a curve which ensures - smoothness of first derivatives at the data points. The method consists of fitting cubic polynomials between every Pair of Doints (x1,y1.), 1 = l(l)n. The slope of the tangent tk to the curve at a specific point (xk' Yk) is obtained lecally by using the; coordinates of the five points (xk-2' Yk-2)' (Xk-l' Yk-l)'13; quot; (Xk' Yk)' (xk+l' Yk+l) and (Xk+2' Yk+2) of which (xk'Yk)13; is the middle member, Let the slopes of secant joining13; quot; (Xk' Yk) and (xk+l' Yk+l) be mk.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Hiroshi-akima's method;Subroutine curfit
    Subjects: ENGINEERING > Mechanical Engineering
    AERONAUTICS > Aerodynamics
    Division/Department: Materials Science Division, Materials Science Division, Materials Science Division
    Depositing User: M/S ICAST NAL
    Date Deposited: 23 Oct 2006
    Last Modified: 24 May 2010 09:52
    URI: http://nal-ir.nal.res.in/id/eprint/3098

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