<s>
The	O
orbits	O
of	O
computational	B-Algorithm
anatomy	I-Algorithm
consist	O
of	O
anatomical	O
shapes	O
and	O
medical	B-Application
images	I-Application
;	O
the	O
anatomical	O
shapes	O
are	O
submanifolds	O
of	O
differential	B-Language
geometry	I-Language
consisting	O
of	O
points	O
,	O
curves	O
,	O
surfaces	O
and	O
subvolumes	O
,	O
.	O
</s>
<s>
This	O
generalized	O
the	O
ideas	O
of	O
the	O
more	O
familiar	O
orbits	O
of	O
linear	B-Language
algebra	I-Language
which	O
are	O
linear	O
vector	O
spaces	O
.	O
</s>
<s>
Medical	B-Application
images	I-Application
are	O
scalar	O
and	O
tensor	O
images	O
from	O
medical	B-Application
imaging	I-Application
.	O
</s>
<s>
These	O
orbits	O
are	O
deformable	O
templates	O
as	O
originally	O
formulated	O
more	O
abstractly	O
in	O
pattern	B-General_Concept
theory	I-General_Concept
.	O
</s>
<s>
The	O
central	O
model	O
of	O
human	O
anatomy	O
in	O
computational	B-Algorithm
anatomy	I-Algorithm
is	O
a	O
Groups	O
and	O
group	O
action	O
,	O
a	O
classic	O
formulation	O
from	O
differential	B-Language
geometry	I-Language
.	O
</s>
<s>
In	O
the	O
field	O
of	O
information	O
geometry	O
,	O
the	O
space	O
of	O
ODF	O
forms	O
a	O
Riemannian	O
manifold	B-Architecture
with	O
the	O
Fisher-Rao	O
metric	O
.	O
</s>
