Radius of Curvature finding tool using Auto Level
Important Note:- This calculator is intended for preliminary estimation and educational purposes only. The results generated here are based on standard simplified assumptions and may not consider all factors necessary for a comprehensive Radius of Curvature calculations.
Higher-degree polynomials (like degree 9 or 10) can pass through every data point exactly, but they often:
Wobble wildly between points,
Predict poorly outside the range,
Give meaningless curvature.
So, only go to higher degrees if lower ones (e.g., 2–6) don’t give a good R².
To fit a degree-d
polynomial, you need at least d + 1
points.
Example:
To fit a quadratic (degree 2), you need ≥ 3 points.
To fit a 6th-degree curve, you need ≥ 7 points.
Also, having only just enough points can lead to unstable or poor generalization. So:
For robust fitting: use more than d + 1
points.
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