![](/assets/images/picto-drapeau-france-3a76576a5d60a512053b4612ab58dae5.png)
6. All-or-nothing and skeleton transformation
The transformations described in the previous sections are all
based on the same principle in the binary case: they examine whether
a certain configuration of points (defined by the structuring element)
verifies a relationship with the object under study. The all-or-nothing
transformation consists in examining configurations where some points
verify a relationship with the object and others verify a relationship
with the object's complementary, and thus enables a fine-tuned analysis
of each point's neighborhood. It should be noted, however, that this
takes us outside the framework of increasing operations. The structuring
elements T considered in this transformation are decomposed into T
1
and T
2
, which form a partition (
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