creatting a polygon in matlab

hi

im going to create a polygon that is combination with points and function.

look at this picture

fourmula of top function is : y = 10+1*exp((-(x-15).^2)/10);

i want to creat a polygon the hatched figured

please help, thanks

Answer 1

[Matteo Lo Preti]

x = linspace(0,30,50);
y = 10+1*exp((-(x-15).^2)/10);
x = [30 30 0 x];
y = [10  0 0 y];
warning('off', 'MATLAB:polyshape:repairedBySimplify')
polygon = polyshape(x,y);
figure;
plot(polygon);

[Mili Kian]

thanks alot.

and im sorry,

i have another question i have a lot of points and i want to find if this points is in polygon or not ?

my points are:

X Y

0.50000000 0.50000000

0.50000000 1.5000000

0.50000000 2.5000000

0.50000000 3.5000000

0.50000000 4.5000000

0.50000000 5.5000000

0.50000000 6.5000000

0.50000000 7.5000000

0.50000000 8.5000000

0.50000000 9.5000000

0.50000000 10.500000

0.50000000 11.500000

0.50000000 12.500000

0.50000000 13.500000

0.50000000 14.500000

0.50000000 15.500000

1.5000000 0.50000000

1.5000000 1.5000000

1.5000000 2.5000000

1.5000000 3.5000000

1.5000000 4.5000000

1.5000000 5.5000000

1.5000000 6.5000000

1.5000000 7.5000000

1.5000000 8.5000000

1.5000000 9.5000000

1.5000000 10.500000

1.5000000 11.500000

1.5000000 12.500000

1.5000000 13.500000

1.5000000 14.500000

1.5000000 15.500000

2.5000000 0.50000000

2.5000000 1.5000000

2.5000000 2.5000000

2.5000000 3.5000000

2.5000000 4.5000000

2.5000000 5.5000000

2.5000000 6.5000000

2.5000000 7.5000000

2.5000000 8.5000000

2.5000000 9.5000000

2.5000000 10.500000

2.5000000 11.500000

2.5000000 12.500000

2.5000000 13.500000

2.5000000 14.500000

2.5000000 15.500000

3.5000000 0.50000000

3.5000000 1.5000000

3.5000000 2.5000000

3.5000000 3.5000000

3.5000000 4.5000000

3.5000000 5.5000000

3.5000000 6.5000000

3.5000000 7.5000000

3.5000000 8.5000000

3.5000000 9.5000000

3.5000000 10.500000

3.5000000 11.500000

3.5000000 12.500000

3.5000000 13.500000

3.5000000 14.500000

3.5000000 15.500000

4.5000000 0.50000000

4.5000000 1.5000000

4.5000000 2.5000000

4.5000000 3.5000000

4.5000000 4.5000000

4.5000000 5.5000000

4.5000000 6.5000000

4.5000000 7.5000000

4.5000000 8.5000000

4.5000000 9.5000000

4.5000000 10.500000

4.5000000 11.500000

4.5000000 12.500000

4.5000000 13.500000

4.5000000 14.500000

4.5000000 15.500000

5.5000000 0.50000000

5.5000000 1.5000000

5.5000000 2.5000000

5.5000000 3.5000000

5.5000000 4.5000000

5.5000000 5.5000000

5.5000000 6.5000000

5.5000000 7.5000000

5.5000000 8.5000000

5.5000000 9.5000000

5.5000000 10.500000

5.5000000 11.500000

5.5000000 12.500000

5.5000000 13.500000

5.5000000 14.500000

5.5000000 15.500000

then what am i do?

[Matteo Lo Preti]

Hi, have a look at the inpolygon function!

Answer 2

[Alan Stevens]

You could also use the patch function

 x = [0 0:30 30 0];
 y = [0 10+exp((-(x(2:end-2)-15).^2)/10) 0 0];
 patch(x,y,'r')