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The weighted average of the source vertices in the Loop Subdivision layout

In Loop Subdivision, I don’t understand what is often written as "Choose locations for new vertices as the weighted average of the original vertices in the local neighborhood."

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New vertices are made from adding new points in the middle of each edge. How is this related to the "weighted average" source vertices? How to do

First, what is a “weighted average of the source vertices”? Where is the "weight" in the grid?

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Adding a point in the middle of the edge is actually only the first phase of the process. Subsection algorithms usually have two:

  • Topology phase - adding new vertices and edges
  • - , " " .

(-).

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