Fig. 6

The coarsening process is executed radially, starting from the target partition \(S_t = S_1\). As seen in Fig. 6 (a), the first step is to perform coarsening on the immediate neighbors of \(S_1\) (from b to c), who are only influenced by the target partition. Subsequently, coarsening is carried out on partitions that are farther away from \(S_t\) (from d to e), with these partitions being influenced only by their guide partitions, which carry structural information from \(S_a\)