Reconstruct a 3D curve with discrete curvature and torsion

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Ben 2014-9-11

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https://ww2.mathworks.cn/matlabcentral/answers/154335-reconstruct-a-3d-curve-with-discrete-curvature-and-torsion

评论： Samaneh Manavi 2022-3-4

Hi All, I saw some functions (such as (1) and (2) ) can be used to reconstruct a 3D curve with continuous curvature and torsion.

My question is how can we reconstruct a 3D curve with discrete curvature and torsion? Here curvature and torsion are not functions of time. Instead, they are indexed by time.

Thank you

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Samaneh Manavi 2022-3-4

Hi,

You asked this question long time ago, could you please share your solustion for this matter?

Anyway, what I would do is to use interpolated curvature and torsion values to solve the Frenet-Serret equations. This will give you the 3D curve. Another way is to calculate the bending direction using the torsion values and then use the kinematic model (transformation matrices) to reconstruct the curve.

best,

Samaneh

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