Radius of curvature calculation

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Bharathwaj
Bharathwaj 2013 年 8 月 7 日
I have a set of lines/curves ( discontinuous lines) from which i revolve them to get a surface. I need to find the principle curvatures on this surface. As i understand, to calculate the principle curvatures you would require the analytical equation. But i have only a numerical representation of the base curve. How do i go about in doing this?

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Jan
Jan 2013 年 8 月 7 日
While gradient() replies the slope, gradient(gradient()) determines 2nd derivative. The signed curvature is defined as:
k = y'' / (1 + y'^2)^1.5
with primes mean the derivative to x here.

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