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NARVAL >> NARVAL > NARVAL_IP_Conv2

NARVAL_IP_Conv2

Perform the 2D convolution of a kernel on an image.

Calling Sequence

[x] = NARVAL_IP_Conv2(im,h)

Parameters

im :

binary matrix.

h :

kernel matrix.

x :

convolution matrix.

Description

NARVAL_IP_Conv2 performs the 2D convolution of the squared kernel h of size 2*n+1 on the binary image im (WIKIPEDIA). The result is stored in x.

Examples

dt=getdate();
seed=dt(10);
rand('seed',seed);//initialization of the random values generator
no=4;//quantity of obstacles (rectangle)
L=1000;//squared area side
hm=100;//minimal height
hM=250;//maximal height
wm=100;//minimal width
wM=250;//maximal width
Al=[0 %pi/2 %pi -%pi/2];//available angles for obstacles
[Xs,Ys,X,Y,H,W,A]=NARVAL_IP_RectObstacles(no,L,hm,hM,wm,wM);//generation of obstacles
[P]=NARVAL_IP_PotentialRot(X,Y,H,W,A,L);//generation of obstacle matrix
z=10;//zoom factor
o=2;// 1=mean, 2=max, 3=min, 4=median
Pz=NARVAL_IP_MRA(P,z,o);//scale modification
w1=1;//window index
w2=2;//window index
scf(w1);
clf(w1);
[Pzx,Pzy]=size(Pz);//image size
grayplot(1:Pzx,1:Pzy,Pz);//graph visualization
xset("colormap",graycolormap(128));
scf(w2);
clf(w2);
[PEz]=NARVAL_IP_Erosion(Pz);//contour performance
Cont=Pz-PEz;//contour 1
grayplot(1:Pzx,1:Pzy,Cont);//graph visualization
xset("colormap",graycolormap(128));
w3=3;//window index
scf(w3);
clf(w3);
[Dim]=NARVAL_IP_DistanceMap(Pz,Cont);//creation of the distance map
[Dimx,Dimy]=size(Dim);//image size
grayplot(1:Dimx,1:Dimy,Dim);//graph visualization
xset("colormap",graycolormap(128));
HL1=[0 -1 0;-1 4 -1;0 -1 0];//kernel 1
HL2=[-1 -1 -1;-1 8 -1;-1 -1 -1];//kernel 2
[Dim1]=NARVAL_IP_Conv2(Dim,HL1);//application of NARVAL_IP_Conv2
[Dim2]=NARVAL_IP_Conv2(Dim,HL2);
[Dim1x,Dim1y]=size(Dim1);
[Dim2x,Dim2y]=size(Dim2);
w4=4;//window index
scf(w4);
clf(w4);
grayplot(1:Dim1x,1:Dim1y,Dim1);
xset("colormap",graycolormap(128));
w5=5;//window index
scf(w5);
clf(w5);
grayplot(1:Dim2x,1:Dim2y,Dim2);//graph visualization
xset("colormap",graycolormap(128));

Authors

Foued Melakessou

Contact

Dr. Foued Melakessou

Research Associate

Interdisciplinary Centre for Security, Reliability and Trust

Room F106

University of Luxembourg

6, rue Coudenhove Kalergi

L-1359 Luxembourg-Kirchberg

E-mail: foued.melakessou@uni.lu

Tel: (+352) 46 66 44 5346

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