Humanoid-Eye Imaging System Model with Ability of Resolving Power Computing - Advances in Image and Graphics Technologies - page 97

cast. By this requirement, we evaluate effects of d 0 (distance between object points
and HIS), Ψ (azimuth of object points relative to HIS), ʳ (deflection of object points)
and V c (speeds of object points) upon the image cast on the planar sensing arrays one
by one to calculate ARP and MDD for HIS.

P ↥

P ↥

N ₒ

S

S

S

ₒ

ʴ

s

R

t

S

O

ʻ ⇅

1.22 d

ʳ

ₒ

O

S

2

t

ʔ s

R

S

2

L

N ₒₒ −

1

|| ⇅ ||

Fig. 5. Compensator Fig. 6. Illustration of effects of d 0

s t

i) Effect of d 0
In order to investigate on the effect of d 0 individually, we consider two static object
points with Ψ = 0, ʳ = 0. In such case, d 0 and s together determine the ARP: when the
angle of two point relative to optical center averagely covers right two receptor, the
angle is ARP and it is easy to derive ARP ʴ R1 form the Figure 6:

ʴ = 2(0,0)/ l d = s / d (5)

R 1 O

ii) Effect of Ψ
When considering effects of azimuth Ψ , facts need focus are the density variation
relative to that on planar sensing arrays' origin and the length covered by the angle.
Given the azimuth Ψ of two points, the length s ' on the planar sensing arrays covered
by the angle is (as Figure 7 illustrates)

d 1 s d

s ' =⇅ ʸ ⇅ = ⇅

(6)

cos ˈˈ cos d cos

2

ˈ

O

When length s ' is equal to double of the one-dimensional length of the local recep-
tors, the angle is ARP:

x y

s ' = 2((, , )2( l ˈ x y z = − l

O

, −

O

)

(7)

OOO

z z

O O