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Hermite Cubic Spline [revisit]
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Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)
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This Hermite cubic spline is the Draftsman spline. It has nothing to do with the other Hermite you will find in the web and math literature. This data set is from a pure symmetric function. The infinitesimal derivative allows inspection for the quality of fit. More advanced techniques apply to add points but not introduced in this "curiosity document". Most interesting is the introduction of an index in the argument H(j,u) and the scalar interpolation module J(u,Xdata) and the nesting H(J(u,X),u). Note the Smath ainterp(X,Y,x) is a good candidate. The orange and violet cubic don't please me ! In some ways, Hermite is an ancestor to Bézier. More profitable than Bézier in difficult modeling. Jean Spline Cubic Hermite REVISIT.sm (44kb) downloaded 25 time(s).
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3 users thanked Jean Giraud for this useful post.
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on 27/08/2016(UTC), on 27/08/2016(UTC), on 27/08/2016(UTC)
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Hello Jean, The last graph , doesn't show the curve of "deriv" Best Regards Carlos
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Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)
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Oh ! Carlos, The deriv graph is disabled [observe the upper right black corner]. By same token => set h 0.000001 for better deriv that should be 0 @ x = 0.5. Dencreasing 'h' has no influence on the timing. Here is a more "Edu style". Jean Spline Cubic Hermite REVISIT.sm (54kb) downloaded 19 time(s).
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Rank: Guest
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Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)
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