How to create an open surface constrained by markup points,and split the current segment by this surface?

Surface cut effect improvement is already available in the latest Slicer Preview Release.

There are other groups working on splitting organs to segments based on vasculature in 3D Slicer, such as this liver resection project:

@RafaelPalomar can you give us an update about the status of your curved planar cutting widget?

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