<s>
The	O
Delaunay	B-Algorithm
tessellation	I-Algorithm
field	I-Algorithm
estimator	I-Algorithm
(	O
DTFE	B-Algorithm
)	O
,	O
(	O
or	O
Delone	O
tessellation	O
field	O
estimator	O
(	O
DTFE	B-Algorithm
)	O
)	O
is	O
a	O
mathematical	O
tool	O
for	O
reconstructing	O
a	O
volume-covering	O
and	O
continuous	O
density	O
or	O
intensity	O
field	O
from	O
a	O
discrete	O
point	O
set	O
.	O
</s>
<s>
The	O
DTFE	B-Algorithm
has	O
various	O
astrophysical	O
applications	O
,	O
such	O
as	O
the	O
analysis	O
of	O
numerical	B-Application
simulations	I-Application
of	O
cosmic	O
structure	O
formation	O
,	O
the	O
mapping	O
of	O
the	O
large-scale	O
structure	O
of	O
the	O
universe	O
and	O
improving	O
computer	B-Application
simulation	I-Application
programs	O
of	O
cosmic	O
structure	O
formation	O
.	O
</s>
<s>
The	O
main	O
advantage	O
of	O
the	O
DTFE	B-Algorithm
is	O
that	O
it	O
automatically	O
adapts	O
to	O
(	O
strong	O
)	O
variations	O
in	O
density	O
and	O
geometry	O
.	O
</s>
<s>
The	O
DTFE	B-Algorithm
consists	O
of	O
three	O
main	O
steps	O
:	O
</s>
<s>
the	O
DTFE	B-Algorithm
.	O
</s>
<s>
One	O
of	O
the	O
main	O
applications	O
of	O
the	O
DTFE	B-Algorithm
is	O
the	O
rendering	O
of	O
our	O
cosmic	O
neighborhood	O
.	O
</s>
<s>
smoothed	B-Application
particle	I-Application
hydrodynamics	I-Application
(	O
SPH	O
)	O
density	O
estimation	O
procedure	O
.	O
</s>
<s>
fields	O
are	O
reconstructed	O
locally	O
without	O
the	O
application	O
of	O
an	O
artificial	O
or	O
user-dependent	O
smoothing	B-Application
procedure	O
,	O
resulting	O
in	O
an	O
optimal	O
resolution	B-Algorithm
and	O
the	O
suppression	O
of	O
shot	O
noise	O
effects	O
.	O
</s>
