How is splicing implemented in cycle-centernet?

[yalcinakin]

Thank you for this awesome paper and dataset. I am trying to understand this paper. It would be great to get a clarification

I understand how to calculate the following 1- Centers 2- Vertices 3- Bbox, Centers to Vertices 4- Gbox, Vertices to Centers

But I can not understand how these 4 values are used in order to decide the final values for a cell. In heuristic grouping scheme (in supplementary materials), cells with 4 vertices are already decided. Could you clarify how it is done?