x[m,n]Φx x(ω1, ω2)

x[m, n]

x[m, n]

4377978-1-4244-5654-3/09/$26.00 ©2009 IEEE ICIP 2009

x[m,n] (ω1, ω2)

Rx =1

4π2

Zω1

Zω2

max

„0,

1

2log2

„Φx x(ω1, ω2)

θ

««dω1dω2

Dx =1

4π2

Zω1

Zω2

min (θ, Φx x(ω1, ω2)) dω1dω2

θ

x[m,n]

ψ(0)[m,n]

ψ(1)[m, n]

8><>:

ψ(0)[m, n] = e

−(m2+n2)/σ20

ψ(1)[m, n] =

√m2 + n2

σ1e−(m2+n2)/σ2

1 e−j arctan( n

m)

ψ(0)[m,n]x0[m, n] σ0

ψ(1)[m, n]σ1

x1[m,n]

x[m,n]x1[m, n] x[m, n]

x1[m,n] σ1

x1[m, n]

x0[m,n], x1[m, n]

x0[m,n]x1[m, n] Φx0 x0 (ω1, ω2)

Φx1 x1 (ω1, ω2) xj [m,n], j = 0, 1

x[m,n] ψ(j)[m, n], j = 0, 1r(ω1, ω2)

d(ω1, ω2)

Rψ(0) ψ(1) =1

4π2

Zω1

Zω2

r(ω1, ω2)dω1dω2

Dψ(0) ψ(1) =1

4π2

Zω1

Zω2

d(ω1, ω2)dω1dω2

x0[m, n], x1[m,n]Φx0 x0(ω1, ω2) Φx1 x1(ω1, ω2)

d(ω1, ω2) =1

2

1Xi=0

min (θ, Φxi xi (ω1, ω2))

r(ω1, ω2) =1

2

1Xi=0

max

„0, log2

„Φxi xi (ω1, ω2)

θ

««

(ω1, ω2)

Φx1 x1 (ω1, ω2)Φx0 x0 (ω1, ω2)

r(ω1, ω2) d(ω1, ω2)

x1[m,n]

Rψ(0) ψ(1) (Dψ(0) ψ(1) )

Dψ(0) ψ(1) Rψ(0) ψ(1)

K = 3

4378

vi

vi = Rψ(0) ψ(1) (Dψ(0) ψ(1) )|Dψ(0) ψ(1)

i = 1, · · · , K.

Rψ(0) ψ(1) (Dψ(0) ψ(1) ) K = 3

Dψ(0) ψ(1)

x0[m, n] x1[m,n]

4379

4380