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Marian de Vries and Peter van Oosterom
example ‘g,’ ‘i,’ and ‘j,’ are merged, this is done in two steps: first ‘i’ and ‘j’ are
merged (see Fig. 5.9), then edge ‘g’ is merged (see Fig. 5.10).
When two BLG-trees are joined a new top-level tolerance value has to be assigned. This can be done using a ‘worst-case’ estimation or by computing the
Fig. 5.9. First step in the merging of edges ‘g,’ ‘i,’ and ‘j’: the BLG-trees of ‘i’ and ‘j’ are
joined (worst-case estimation for new top-level tolerance value is used – ‘1.4’)
Fig. 5.10. Second step in the merging of edges ‘g,’ ‘i,’ and ‘j’: the BLG-trees of ‘ij’ and ‘g’
are joined (note that for BLG-tree ‘ij’ the worst-case estimation for the tolerance value ‘1.4’
was used and therefore the tolerance band does not touch the polyline in the middle as might
be expected)
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