Humanoid-Eye Imaging System Model with Ability of Resolving Power Computing - Advances in Image and Graphics Technologies - page 95

ARP Calculation by Criterion of Wave Optics. The criterion of wave optics re-
quires that the distance between centers of two object points' Airy disks should be no
less than the larger radius of the spots.

Fig. 3. Geometry relations of planes and normal vectors

By the criterion of wave optics, the ARP for HIS for static object points is the an-
gle radius of the zero-order diffraction disk (it is easy to prove, using semi-wave-band
method, that this angle radius is independent of azimuth when azimuth is not very
large), that is:

(1)

ʴ = 1.22 ʻ / D

WO 1

In dynamic case (the object is moving in space), however, we should consider the
effects of the motion track in image on the angle of two points relative to optical cen-
ter. During the exposure time, due to approaching motion, the two object points' im-
age spots' angle relative to optical center decreases, as shown in Figure 4. The de-
creased angle is

ₒₒ
↥

|| VN T ⇅ ||

(2)

ʔ= = ʴˉ T

C

V C

d

C

O

In this condition, ARP for HIS is modified to be

ₒₒ
↥

⇅
= ʔ= +

VN T
Dd

|| ||

ʻ

(3)

ʴ ʴ ʴ 1.22

C

WO 2 WO 1 V

C

O

Given the positions of the two points, then the MDD along their segment is