Biomedical Engineering Reference
In-Depth Information
1333
(A)
nm
0
(B)
(C)
1200
1400
1000
800
600
400
200
0
40
0
20
(D)
µ
m
Figure 7.13
A single SKOV-3 cell: (A) reconstructed phase for
633 nm, (B) dual-wavelength coarse phase
image, (C) 3D rendering of fine map, and (D) line thickness profile. All images are
63.5
λ
5
μ
m
59
μ
m (165
153 pixels).
3
3
7.4.2 Linear Regression Method
Finally, we present a method that determines
m
1
or
m
2
directly
[9]
. Rewriting
Eq. (7.10)
,
we obtain:
1
2
λ
1
m
1
ðx; yÞ
2
λ
2
m
2
ðx; yÞ
5
π
ðλ
2
ϕ
2
ðx; yÞ
2
λ
1
ϕ
1
ðx; yÞÞ
(7.12)
Although this equation contains two unknowns (
m
1
and
m
2
), they are both non-negative
integers. Theoretically, if the wavelengths do not have a common multiplier and the
measurement uncertainty is neglected, there is only one set of values of
m
1
and
m
2
which
satisfies this equation exactly. In the presence of phase noise, we can determine the integer
values
m
1
and
m
2
such that the difference between the two sides of the
Eq. (7.12)
is
minimal. Expressing
m
1
in terms of
m
2
, we obtain:
ðx; yÞ
5
λ
2
1
2
λ
2
m
1
λ
1
m
2
ðx; yÞ
1
λ
1
ϕ
2
ðx; yÞ
2
ϕ
1
ðx; yÞ
(7.13)
π
Search WWH ::
Custom Search