3D Best-Fit Base Alignment

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Can someone please provide an explanation of, or reference documentation for, the correct procedure to create a 3D Best‑Fit Base Alignment using XYZ coordinate data collected from tooling balls on a fixture?

Specifically, I am looking to understand the recommended steps, assumptions, and alignment methodology used to establish a stable and repeatable alignment from discrete tooling ball coordinate data, including any best practices related to datum selection, constraint application, and evaluation of alignment quality.

Any guidance, examples, or standard work that outlines this process would be greatly appreciated.