- 2-

.

2015

2 -

, xo(m;n) yo(m;n)

[xo yo](m;n) =+1X

i=1

+1Xj=1

xo(i; j)yo(m i; n j) (1)

x(m;n) y(m;n), MxNx

My Ny . z(m;n) [Mx +My 1; Nx +Ny 1],

z(m;n) = [x y](m;n) =

8>:[x^ y^](m;n) 0 m Mx +My 1

0 n Nx +Ny 10

(2)

x^ y^ x y

x^ (m;n) =

(x(m;n) 0 m Mx 1 0 n Nx 10

(3)

y^ (m;n) =

(y(m;n) 0 m My 1 0 n Ny 10

(4)

, x^ y^ -, - , .

1

z=myconv2(x,y) x y. . , conv2 Matlab.

- vectorised, for .

1

2

z=myconv2freq(x,y)

x y , -DFT zero-padding . , . .

3 -

: - x, y N N N = 1; : : : ; 1000. N x, y 100 , z, 3 : () myconv2.m, () myconv2freq.m () Matlab conv2.m. - N - N .

( () ()) , .

x, h x () h 16 16.

1. myconv2.m myconv2freq.m

.

2. demo2a.m

x=rand(400,600);y=fspecial('gaussian',[9 9],2);

- Matlab conv2.

3. demo2b.m #3.

2

4. pdf ( ) - .

:

, zip.

.zip.

.

pdf, _report.pdf .

, , ( -).

( ) UTF-8.

myconv2.m,myconv2freq.m,demo2a.m demo2b.m .

3