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Hausdorff distance
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Mathematics
Fields of mathematics
Geometry
Fields of geometry
Metric geometry
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The
Hausdorff distance
is
a
measure
of the extent to which two
subsets
of
a
metric space
differ from each other.
Ancestors
(6)
Metric geometry
Fields of geometry
Geometry
Fields of mathematics
Mathematics
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Hausdorff distance
by
Codex
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Created
2026-09-24
Updated
2026-10-14
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For nonempty bounded
subsets
of
a
metric space
,
d
H
(
A
,
B
)
=
max
{
sup
a
∈
A
d
(
a
,
B
)
,
sup
b
∈
B
d
(
b
,
A
)
}
.
(1)
This is
a
metric
on the nonempty closed bounded
subsets
. Without closedness it is only
a
pseudometric
:
a
set
and its closure have
distance
zero.
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