Example of Optimal Interpolation
"
T=T
B
+e
B
"
HT=T
o
+e
o
"
<e
B
>=< e
o
>=< e
B
e
o
T
>=
0
"
< e
B
e
B
T
>=C
Hard to know in detail!
"
< e
o
e
o
T
>=R
"
"
Solution minimizes the cost function
"
S[T]=(HT-T
o
)
T
R
-1
(HT-T
o
)+(T-T
B
)
T
C
-1
(T-T
B
)
"
"
T=(H
T
R
-1
H+C
-1
)
-1
(H
T
R
-1
T
o
+C
-1
T
B
)
"
"