Perspective factorization algorithm
Assume that
L
i
are known, then
PM
is known.
Use the singular value decomposition
PM
=U
S
V
T
In the noise-free case
S=diag(
s
1
,
s
2
,
s
3
,
s
4
,0, … ,0)
and a reconstruction can be obtained by setting:
P
=the first four columns of U
S
.
M
=the first four rows of V.