When another data point is inserted and the Voronoi diagram reconstructed, the newly created region displaces the area that once belonged to the old regions. Those points whose regions were displaced are considered natural neighbours to the new point. The weight of each natural neighbour is given by the area taken from the total area occupied by the new region. In 3D, we measure polyhedral volumes instead of areas.
Cerny's blog post includes comparison images if you're curious about the visual differences the new PSSR is able to achieve. Masaru Ijuin, a Senior Manager from Capcom's Engine Development Support Section R&D Foundational Technology Department, also provided comments on how the new upscaling tech improves Resident Evil Requiem:
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（九）接到要求制止违反治安管理行为的报警后，不及时出警的；