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ellipseSummary.m
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function [ellipseSum] = ellipseSummary(store, debug, bivHist)
theta_grid = linspace(0,2*pi);
for iPosition = 1:2
% centroid: median of all centroids
ellipseSum(iPosition).cntrd = [];
switch iPosition
case 1
color = 'r';
case 2
color = 'k';
end
ellipseSum(iPosition).cntrd.Q1 = quantile(store(iPosition).Centroids, 0.25);
ellipseSum(iPosition).cntrd.Q2 = quantile(store(iPosition).Centroids, 0.75);
ellipseSum(iPosition).cntrd.median = median(rmoutliers(store(iPosition).Centroids, 'quartiles'), 1);
% % inner ellipse: 25th quantile
ellipseSum(iPosition).inEllipse.MjrSemiAxisLength = quantile(store(iPosition).EllipseL, 0.25)/2;
ellipseSum(iPosition).inEllipse.MnrSemiAxisLength = quantile(store(iPosition).Ellipsel, 0.25)/2;
ellipseSum(iPosition).inEllipse.Orientation = quantile(atand(store(iPosition).EllipseSlope), 0.25);
%parametric equation of ellipse
ellipse_x_r = ellipseSum(iPosition).inEllipse.MjrSemiAxisLength * cos( theta_grid );
ellipse_y_r = ellipseSum(iPosition).inEllipse.MnrSemiAxisLength * sin( theta_grid );
% rotation matrix with orientation angle found
R = [ cosd(ellipseSum(iPosition).inEllipse.Orientation) -sind(ellipseSum(iPosition).inEllipse.Orientation); ...
sind(ellipseSum(iPosition).inEllipse.Orientation) cosd(ellipseSum(iPosition).inEllipse.Orientation) ];
%rotation of ellipse
ellipseSum(iPosition).inEllipse.Ellipse = R * [ellipse_x_r;ellipse_y_r];
% setpoint
[~, i] = min( ellipseSum(iPosition).inEllipse.Ellipse(1, :) );
temp = zeros(200, 1);
temp(1:100) = ellipseSum(iPosition).inEllipse.Ellipse(2, :);
temp(101:200) = ellipseSum(iPosition).inEllipse.Ellipse(2, :);
ellipseSum(iPosition).inEllipse.setpoints = abs( temp(i:i+49) - flip(temp(i+50:i+99)) );
temp = zeros(200, 1);
temp(1:100) = ellipseSum(iPosition).inEllipse.Ellipse(1, :);
temp(101:200) = ellipseSum(iPosition).inEllipse.Ellipse(1, :);
ellipseSum(iPosition).inEllipse.setpoints_xData = temp(i:i+49);
[~, i] = min( ellipseSum(iPosition).inEllipse.Ellipse(2, :) );
temp(1:100) = ellipseSum(iPosition).inEllipse.Ellipse(1, :);
temp(101:200) = ellipseSum(iPosition).inEllipse.Ellipse(1, :);
ellipseSum(iPosition).inEllipse.deltaPs = abs( temp(i:i+49) - flip(temp(i+50:i+99)) );
temp(1:100) = ellipseSum(iPosition).inEllipse.Ellipse(2, :);
temp(101:200) = ellipseSum(iPosition).inEllipse.Ellipse(2, :);
ellipseSum(iPosition).inEllipse.deltaPs_xData = temp(i:i+49);
% % middle ellipse: median
ellipseSum(iPosition).midEllipse.MjrSemiAxisLength = median(store(iPosition).EllipseL, 1)/2;
ellipseSum(iPosition).midEllipse.MnrSemiAxisLength = median(store(iPosition).Ellipsel, 1)/2;
ellipseSum(iPosition).midEllipse.Orientation = median(atand(store(iPosition).EllipseSlope), 1);
%parametric equation of ellipse
ellipse_x_r = ellipseSum(iPosition).midEllipse.MjrSemiAxisLength * cos( theta_grid );
ellipse_y_r = ellipseSum(iPosition).midEllipse.MnrSemiAxisLength * sin( theta_grid );
% rotation matrix with orientation angle found
R = [ cosd(ellipseSum(iPosition).midEllipse.Orientation) -sind(ellipseSum(iPosition).midEllipse.Orientation); ...
sind(ellipseSum(iPosition).midEllipse.Orientation) cosd(ellipseSum(iPosition).midEllipse.Orientation) ];
%rotation of ellipse
ellipseSum(iPosition).midEllipse.Ellipse = R * [ellipse_x_r;ellipse_y_r];
% setpoint
[~, i] = min( ellipseSum(iPosition).midEllipse.Ellipse(1, :) );
temp = zeros(200, 1);
temp(1:100) = ellipseSum(iPosition).midEllipse.Ellipse(2, :);
temp(101:200) = ellipseSum(iPosition).midEllipse.Ellipse(2, :);
ellipseSum(iPosition).midEllipse.setpoints = abs( temp(i:i+49) - flip(temp(i+50:i+99)) );
temp = zeros(200, 1);
temp(1:100) = ellipseSum(iPosition).midEllipse.Ellipse(1, :);
temp(101:200) = ellipseSum(iPosition).midEllipse.Ellipse(1, :);
ellipseSum(iPosition).midEllipse.setpoints_xData = temp(i:i+49);
[~, i] = min( ellipseSum(iPosition).midEllipse.Ellipse(2, :) );
temp(1:100) = ellipseSum(iPosition).midEllipse.Ellipse(1, :);
temp(101:200) = ellipseSum(iPosition).midEllipse.Ellipse(1, :);
ellipseSum(iPosition).midEllipse.deltaPs = abs( temp(i:i+49) - flip(temp(i+50:i+99)) );
temp(1:100) = ellipseSum(iPosition).midEllipse.Ellipse(2, :);
temp(101:200) = ellipseSum(iPosition).midEllipse.Ellipse(2, :);
ellipseSum(iPosition).midEllipse.deltaPs_xData = temp(i:i+49);
% % outer ellipse: 75th quantile
ellipseSum(iPosition).outEllipse.MjrSemiAxisLength = quantile(store(iPosition).EllipseL, 0.75)/2;
ellipseSum(iPosition).outEllipse.MnrSemiAxisLength = quantile(store(iPosition).Ellipsel, 0.75)/2;
ellipseSum(iPosition).outEllipse.Orientation = quantile(atand(store(iPosition).EllipseSlope), 0.75);
%parametric equation of ellipse
ellipse_x_r = ellipseSum(iPosition).outEllipse.MjrSemiAxisLength * cos( theta_grid );
ellipse_y_r = ellipseSum(iPosition).outEllipse.MnrSemiAxisLength * sin( theta_grid );
% rotation matrix with orientation angle found
R = [ cosd(ellipseSum(iPosition).outEllipse.Orientation) -sind(ellipseSum(iPosition).outEllipse.Orientation); ...
sind(ellipseSum(iPosition).outEllipse.Orientation) cosd(ellipseSum(iPosition).outEllipse.Orientation) ];
%rotation of ellipse
ellipseSum(iPosition).outEllipse.Ellipse = R * [ellipse_x_r;ellipse_y_r];
% setpoint
[~, i] = min( ellipseSum(iPosition).outEllipse.Ellipse(1, :) );
temp = zeros(200, 1);
temp(1:100) = ellipseSum(iPosition).outEllipse.Ellipse(2, :);
temp(101:200) = ellipseSum(iPosition).outEllipse.Ellipse(2, :);
ellipseSum(iPosition).outEllipse.setpoints = abs(temp(i:i+49) - flip(temp(i+50:i+99)));
temp = zeros(200, 1);
temp(1:100) = ellipseSum(iPosition).outEllipse.Ellipse(1, :);
temp(101:200) = ellipseSum(iPosition).outEllipse.Ellipse(1, :);
ellipseSum(iPosition).outEllipse.setpoints_xData = temp(i:i+49);
[~, i] = min( ellipseSum(iPosition).outEllipse.Ellipse(2, :) );
temp(1:100) = ellipseSum(iPosition).outEllipse.Ellipse(1, :);
temp(101:200) = ellipseSum(iPosition).outEllipse.Ellipse(1, :);
ellipseSum(iPosition).outEllipse.deltaPs = abs(temp(i:i+49) - flip(temp(i+50:i+99)));
temp = zeros(200, 1);
temp(1:100) = ellipseSum(iPosition).outEllipse.Ellipse(2, :);
temp(101:200) = ellipseSum(iPosition).outEllipse.Ellipse(2, :);
ellipseSum(iPosition).outEllipse.deltaPs_xData = temp(i:i+49);
% % std ellipse
ellipseSum(iPosition).stdEllipse.MjrSemiAxisLength = std(store(iPosition).EllipseL)/2;
ellipseSum(iPosition).stdEllipse.MnrSemiAxisLength = std(store(iPosition).Ellipsel)/2;
ellipseSum(iPosition).stdEllipse.Orientation = std( atand(store(iPosition).EllipseSlope) );
%parametric equation of ellipse
ellipse_x_r = ellipseSum(iPosition).stdEllipse.MjrSemiAxisLength * cos( theta_grid );
ellipse_y_r = ellipseSum(iPosition).stdEllipse.MnrSemiAxisLength * sin( theta_grid );
% rotation matrix with orientation angle found
R = [ cosd(ellipseSum(iPosition).stdEllipse.Orientation) -sind(ellipseSum(iPosition).stdEllipse.Orientation); ...
sind(ellipseSum(iPosition).stdEllipse.Orientation) cosd(ellipseSum(iPosition).stdEllipse.Orientation) ];
%rotation of ellipse
ellipseSum(iPosition).stdEllipse.Ellipse = R * [ellipse_x_r;ellipse_y_r];
% % mean ellipse
ellipseSum(iPosition).mEllipse.MjrSemiAxisLength = mean(store(iPosition).EllipseL)/2;
ellipseSum(iPosition).mEllipse.MnrSemiAxisLength = mean(store(iPosition).Ellipsel)/2;
ellipseSum(iPosition).mEllipse.Orientation = mean( atand(store(iPosition).EllipseSlope) );
%parametric equation of ellipse
ellipse_x_r = ellipseSum(iPosition).mEllipse.MjrSemiAxisLength * cos( theta_grid );
ellipse_y_r = ellipseSum(iPosition).mEllipse.MnrSemiAxisLength * sin( theta_grid );
% rotation matrix with orientation angle found
R = [ cosd(ellipseSum(iPosition).mEllipse.Orientation) -sind(ellipseSum(iPosition).mEllipse.Orientation); ...
sind(ellipseSum(iPosition).mEllipse.Orientation) cosd(ellipseSum(iPosition).mEllipse.Orientation) ];
%rotation of ellipse
ellipseSum(iPosition).mEllipse.Ellipse = R * [ellipse_x_r;ellipse_y_r];
% % mean ellipse
[~, i] = min( ellipseSum(iPosition).outEllipse.Ellipse(1, :) );
temp = zeros(200, 1);
temp(1:100) = ellipseSum(iPosition).mEllipse.Ellipse(2, :);
temp(101:200) = ellipseSum(iPosition).mEllipse.Ellipse(2, :);
ellipseSum(iPosition).mEllipse.setpoints = abs(temp(i:i+49) - flip(temp(i+50:i+99)));
temp = zeros(200, 1);
temp(1:100) = ellipseSum(iPosition).mEllipse.Ellipse(1, :);
temp(101:200) = ellipseSum(iPosition).mEllipse.Ellipse(1, :);
ellipseSum(iPosition).mEllipse.setpoints_xData = temp(i:i+49);
if debug == 1
figure(1)
set(gcf,'color','w');
myEllipse(1, iPosition) = plot(ellipseSum(iPosition).inEllipse.Ellipse(1, :) + ellipseSum(iPosition).cntrd.median(1), ...
ellipseSum(iPosition).inEllipse.Ellipse(2, :) + ellipseSum(iPosition).cntrd.median(2), ...
color); hold on;
myEllipse(2, iPosition) = plot(ellipseSum(iPosition).midEllipse.Ellipse(1, :) + ellipseSum(iPosition).cntrd.median(1), ...
ellipseSum(iPosition).midEllipse.Ellipse(2, :) + ellipseSum(iPosition).cntrd.median(2), ...
color, 'LineWidth', 1.5); hold on;
myEllipse(3, iPosition) = plot(ellipseSum(iPosition).outEllipse.Ellipse(1, :) + ellipseSum(iPosition).cntrd.median(1), ...
ellipseSum(iPosition).outEllipse.Ellipse(2, :) + ellipseSum(iPosition).cntrd.median(2), ...
color); hold on;
% filling
x2 = [ellipseSum(iPosition).inEllipse.Ellipse(1, :) + ellipseSum(iPosition).cntrd.median(1), ...
fliplr(ellipseSum(iPosition).outEllipse.Ellipse(1, :) + ellipseSum(iPosition).cntrd.median(1))];
inBetween = [ellipseSum(iPosition).inEllipse.Ellipse(2, :) + ellipseSum(iPosition).cntrd.median(2), ...
fliplr(ellipseSum(iPosition).outEllipse.Ellipse(2, :) + ellipseSum(iPosition).cntrd.median(2))];
h(iPosition) = fill(x2, inBetween, color);
set(h(iPosition),'facealpha',.2,'LineStyle','none'); hold on;
ylim([550 850]) % RR range
xlim( [90 140]) % BP range
xlabel('Systolic BP [mmHg]')
ylabel('RR interval [ms]')
box on
grid on
set(0,'DefaultAxesFontName','Arial');
set(0, 'DefaultAxesFontSize', 12);
set(0, 'defaultAxesFontWeight', 'normal')
ax1 = gca;
ax1_pos = ax1.Position; % position of first axes
xlabel('Systolic BP [mmHg]')
ylabel('RR interval [ms]')
if ~isempty(bivHist)
yyaxis right
plot(84.5:9:165.5, sum(bivHist(iPosition).npointsC, 2), 'color', 'r', 'LineWidth', 0.8); hold on;
ylim([0 400])
xlim( [90 140]) % BP range
%xlabel('# Systolic BP ')
ylabel('# Sp ')
ax = gca;
ax.YAxis(1).Color = 'k';
ax.YAxis(2).Color = 'r';
ax2 = axes('Position',ax1_pos,'XAxisLocation','top','YAxisLocation','left','Color','none','XLim', [0 400], 'YLim', [550 850]);
xlabel(ax2,'# rrInt');
line(sum(bivHist(iPosition).npointsC, 1), 582.5:65:1167.5,'Parent',ax2,'Color','k','linewidth',0.7); hold on;
end
figure(2)
set(gcf,'color','w');
f1(iPosition) = plot(ellipseSum(iPosition).mEllipse.Ellipse(1, :) + ellipseSum(iPosition).cntrd.median(1), ...
ellipseSum(iPosition).mEllipse.Ellipse(2, :) + ellipseSum(iPosition).cntrd.median(2), ...
color); hold on;
plot(ellipseSum(iPosition).stdEllipse.Ellipse(1, :) + ellipseSum(iPosition).cntrd.median(1), ...
ellipseSum(iPosition).stdEllipse.Ellipse(2, :) + ellipseSum(iPosition).cntrd.median(2), ...
color); hold on;
figure(3)
plot(ellipseSum(iPosition).midEllipse.setpoints_xData + ellipseSum(iPosition).cntrd.median(1), ellipseSum(iPosition).midEllipse.setpoints , 'LineWidth', 1.5, 'Color', color); hold on;
plot(ellipseSum(iPosition).outEllipse.setpoints_xData + ellipseSum(iPosition).cntrd.median(1), ellipseSum(iPosition).outEllipse.setpoints , 'LineWidth', 1.0, 'Color', color); hold on;
plot(ellipseSum(iPosition).inEllipse.setpoints_xData + ellipseSum(iPosition).cntrd.median(1), ellipseSum(iPosition).inEllipse.setpoints , 'LineWidth', 1.0, 'Color', color); hold on;
xlabel('Systolic BP (mmHg)')
ylabel('$\Delta$ RR (ms)', 'Interpreter', 'Latex')
figure(4)
plot(ellipseSum(iPosition).midEllipse.deltaPs_xData + ellipseSum(iPosition).cntrd.median(2), ellipseSum(iPosition).midEllipse.deltaPs , 'LineWidth', 1.5, 'Color', color); hold on;
plot(ellipseSum(iPosition).outEllipse.deltaPs_xData + ellipseSum(iPosition).cntrd.median(2), ellipseSum(iPosition).outEllipse.deltaPs , 'LineWidth', 1.0, 'Color', color); hold on;
plot(ellipseSum(iPosition).inEllipse.deltaPs_xData + ellipseSum(iPosition).cntrd.median(2), ellipseSum(iPosition).inEllipse.deltaPs , 'LineWidth', 1.0, 'Color', color); hold on;
xlabel('RR interval (ms)')
ylabel('$\Delta$ Ps (ms)', 'Interpreter', 'Latex')
end
end
if debug == 1
figure(1)
legend([h(1) h(2)], {'Supine', 'Upright'}, 'Box', 'off');
title('Ellipse Summary Plot')
figure(2)
legend([f1(1), f1(2)], {'Supine', 'Upright'}, 'Box', 'off');
title('Mean and std ellipse')
end
end