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%% Reset everything
clear all;
clc;
close all;
addpath('helpers');
%% Configure the benchmark
% noncentral case
cam_number = 4;
% Getting 20 points
pt_number = 20;
% no outliers
outlier_fraction = 0.0;
% no noise
noise = 0.0;
[v1,v2,t,R] = create2D2DOmniExperiment(pt_number,cam_number,noise,outlier_fraction);
%% Plot the smallest Eigenvalue
evs = zeros(101,101);
for cay_z_index=1:5
cay_z = (cay_z_index - 3) * 0.2;
cay_z_index
for i=1:101
cay_x = 0.4*((i-51)/50);
i
for j=1:101
cay_y = 0.4*((j-51) / 50);
x = [cay_x;cay_y;cay_z];
if i == 51 && j == 51 && cay_z_index == 3
cay_y = 0.4*((52-51) / 50);
x = [cay_x;cay_y;cay_z];
end
Out = opengv('ge2',[1:1:size(v1,2)],v1,v2,[cayley2rot(x) zeros(3,1)]);
evs(i,j) = Out(4,5);
end
end
negativeIndices = evs<0;
evs(negativeIndices) = 0.0;
figure(1)
hold on
surf([-0.4 0.4],[-0.4 0.4],repmat(cay_z, [2 2]),log(evs),'facecolor','texture')
%colormap(gray);
view(45,30);
daspect([2.5 2.5 1]);
axis([-0.4 0.4 -0.4 0.4 -0.4 0.4])
grid on
xlabel('x');
ylabel('y');
zlabel('z');
colorbar
end
%% insert the zero layer
insertZeroLayer = 0;
if insertZeroLayer == 1
gt = rot2cayley(R);
cay_z = gt(3,1);
for i=1:101
cay_x = 0.4*((i-51)/50);
i
for j=1:101
cay_y = 0.4*((j-51) / 50);
x = [cay_x;cay_y;cay_z];
if i == 51 && j == 51 && cay_z_index == 3
cay_y = 0.4*((52-51) / 50);
x = [cay_x;cay_y;cay_z];
end
Out = opengv('ge2',[1:1:size(v1,2)],v1,v2,[cayley2rot(x) zeros(3,1)]);
evs(i,j) = Out(4,5);
end
end
negativeIndices = evs<0;
evs(negativeIndices) = 0.0;
figure(1)
hold on
surf([-0.4 0.4],[-0.4 0.4],repmat(cay_z, [2 2]),log(evs),'facecolor','texture')
%colormap(gray);
view(45,30);
daspect([2.5 2.5 1]);
axis([-0.4 0.4 -0.4 0.4 -0.4 0.4])
grid on
xlabel('x');
ylabel('y');
zlabel('z');
colorbar
end
%% Plot the second smallest Eigenvalue
evs = zeros(101,101);
for cay_z_index=1:5
cay_z = (cay_z_index - 3) * 0.2;
cay_z_index
for i=1:101
cay_x = 0.4*((i-51)/50);
i
for j=1:101
cay_y = 0.4*((j-51) / 50);
x = [cay_x;cay_y;cay_z];
if i == 51 && j == 51 && cay_z_index == 3
cay_y = 0.4*((52-51) / 50);
x = [cay_x;cay_y;cay_z];
end
Out = opengv('ge2',[1:1:size(v1,2)],v1,v2,[cayley2rot(x) zeros(3,1)]);
evs(i,j) = Out(3,5);
end
end
negativeIndices = evs<0;
evs(negativeIndices) = 0.0;
figure(2)
hold on
surf([-0.4 0.4],[-0.4 0.4],repmat(cay_z, [2 2]),log(evs),'facecolor','texture')
%colormap(gray);
view(45,30);
daspect([2.5 2.5 1]);
axis([-0.4 0.4 -0.4 0.4 -0.4 0.4])
grid on
xlabel('x');
ylabel('y');
zlabel('z');
colorbar
end
%% insert the zero layer
insertZeroLayer = 0;
if insertZeroLayer == 1
gt = rot2cayley(R);
cay_z = gt(3,1);
for i=1:101
cay_x = 0.4*((i-51)/50);
i
for j=1:101
cay_y = 0.4*((j-51) / 50);
x = [cay_x;cay_y;cay_z];
if i == 51 && j == 51 && cay_z_index == 3
cay_y = 0.4*((52-51) / 50);
x = [cay_x;cay_y;cay_z];
end
Out = opengv('ge2',[1:1:size(v1,2)],v1,v2,[cayley2rot(x) zeros(3,1)]);
evs(i,j) = Out(3,5);
end
end
negativeIndices = evs<0;
evs(negativeIndices) = 0.0;
figure(2)
hold on
surf([-0.4 0.4],[-0.4 0.4],repmat(cay_z, [2 2]),log(evs),'facecolor','texture')
%colormap(gray);
view(45,30);
daspect([2.5 2.5 1]);
axis([-0.4 0.4 -0.4 0.4 -0.4 0.4])
grid on
xlabel('x');
ylabel('y');
zlabel('z');
colorbar
end
%% Print the ground truth value on the console
minimum = rot2cayley(R)
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