center of curvature in one point of a curve

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Haloula
Haloula 2013년 3월 18일
답변: Ajith Jogi 2021년 6월 6일
Hi everybody
I have a question about the center of curvature, I have a curve (a trajectory of a vehicule) I don't have a precise function of this curve I just have some points, and I want to know the center of curvature in one point in the trajectory,I calculate the curvature but I didn't know how to obtain the center of the curvature in one point. Please help me if you know the answer.
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Jan
Jan 2013년 3월 18일
편집: Jan 2013년 3월 18일
Do you mean the center of a circle which touchs the curve smoothly?
The radius of this circle is defined by the 2nd derivative, while the direction of the vector from the point to the center is the gradient.

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Ajith Jogi
Ajith Jogi 2021년 6월 6일
Hi Haloula. I too am looking for solution for the same problem. Could you share the solution please?

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