How to build a best fit plane through a cloud of points

I don’t think with Creo Parametric there is an option like that.

I think the the manufacturing add in for CMM in Creo has something like that to create construction planes for measuring.

I do not know.  I would suggest contacting your VAR or PTC to understand what license would be needed and if you have it.

A google search showed the following: 

To access and use the Coordinate Measuring Machine (CMM) manufacturing module in Creo Parametric, you need the optional Pro/CMM extension license (historically and internally referred to as Pro/CMM or CMM Manufacturing). [1, 2, 3, 4]

License Details

• Module Name: Pro/CMM (CMM Inspection Programming)

• Function: Allows you to generate associative inspection and probing programs for CMM hardware directly from your 3D models.

• Requirement Type: It is an add-on option/extension that must be explicitly added to your existing locked or floating license configuration (such as Creo Design Essentials or Advanced). [1, 2]

How to Check if You Have the License

• Open Creo Parametric.

• Go to File > Help > System Information.

• Look at the information window under Configured Option Modules to see if CMM or Pro/CMM is listed.

• If it is missing, you will need to contact your software administrator or PTC representative to add the extension to your license file. [1, 2, 3]
  

Thanks for help.

Unfortunately, they are not listed.
☹️

Assume you want to create a single plane through N points of measurement you can use Least Squares because a plane is parameterized by a single equation. The result is the best fit.

import numpy as np

# Your 10 points as a (10, 3) array
points = np.array([
    [x1, y1, z1],
    [x2, y2, z2],
    # ... 10 rows total
])

# 1. Compute centroid and center the points
centroid = points.mean(axis=0)
centered = points - centroid

# 2. SVD of the centered points
U, S, Vt = np.linalg.svd(centered)

# 3. Normal vector = last row of Vt (smallest singular value)
normal = Vt[-1]
a, b, c = normal
d = -normal.dot(centroid)

print(f"Plane: {a:.4f}x + {b:.4f}y + {c:.4f}z + {d:.4f} = 0")
print(f"Normal vector: {normal}")
print(f"Point on the plane (centroid): {centroid}")

# Optional: mean squared distance as a goodness-of-fit measure
distances = centered.dot(normal)
rmse = np.sqrt(np.mean(distances**2))
print(f"RMSE (orthogonal distance): {rmse:.6f}")

Code by Claude, not tested with the SVD-Instance

No, you can’t do that in this way. Do most not in Creo. Read your point from an Input file, calculate the plane, get 3 Points on this plane, create a datum in Creo with this 3 points.

The code above is in python. I don’t work with python, but ask ChatGPT for a solution in a programming language you like.

Can someone of the admins explain why this thread has not all messages here!

Some answers are definitely no longer listed, why? Is it buggy here?