interp_simetrico

x_up = [1.000000
0.995720
0.982960
0.961940
0.933010
0.896680
0.853550
0.804380
0.750000
0.691340
0.629410
0.565260
0.500000
0.434740
0.370590
0.339280
0.308660
0.278860
0.250000
0.222210
0.195620
0.170330
0.146450
0.124080
0.103320
0.084270
0.066990
0.051560
0.038060
0.026530
0.017040
0.009610
0.004280
0.001070
0.000000];

x_down = [0.000000
0.001070
0.004280
0.009610
0.017040
0.026530
0.038060
0.051560
0.066990
0.084270
0.103320
0.124080
0.146450
0.170330
0.195620
0.222210
0.250000
0.278860
0.308660
0.339280
0.370590
0.434740
0.500000
0.565260
0.629410
0.691340
0.750000
0.804380
0.853550
0.896680
0.933010
0.961940
0.982960
0.995720
1.000000];

y_up = [0.000000
0.000570
0.002180
0.004630
0.007700
0.011270
0.015220
0.019450
0.023840
0.028230
0.032470
0.036380
0.039780
0.042480
0.044310
0.044840
0.045090
0.045040
0.044660
0.043970
0.042950
0.041610
0.039940
0.037950
0.035640
0.033050
0.030230
0.027200
0.023950
0.020390
0.016460
0.012140
0.007670
0.003490
0.000000];

y_down = [ 0.000000
-0.003490
-0.007670
-0.012140
-0.016460
-0.020390
-0.023950
-0.027200
-0.030230
-0.033050
-0.035640
-0.037950
-0.039940
-0.041610
-0.042950
-0.043970
-0.044660
-0.045040
-0.045090
-0.044840
-0.044310
-0.042480
-0.039780
-0.036380
-0.032470
-0.028230
-0.023840
-0.019450
-0.015220
-0.011270
-0.007700
-0.004630
-0.002180
-0.000570
 0.000000];

plot(x_up,y_up,'p');
hold on
plot(x_down,y_down,'p')
hold on

x2_up = 1:-0.01:0;
x2_down = 0:0.01:1;


V_up = interp1(x_up,y_up,x2_up);
plot(x2_up,V_up, 'o');
V_down = interp1(x_down,y_down,x2_down);
plot(x2_down,V_down, 'o');

V_down_inv = fliplr(V_down);
V = 0.5.*(V_up + V_down_inv);

plot(x2_up,V);

reference = [0.0 0.0
    1.0 0.0];
plot(reference(:,1),reference(:,2),'k')