How can I connect the upper endpoint of the red curve to the red do... (2024)

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Atom on 8 Jun 2024 at 7:24

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Edited: Image Analyst on 8 Jun 2024 at 19:18

  • BT_Hom(2).mat

Open in MATLAB Online

How can I connect the upper endpoint of the red curve to the red dot while keeping the curvature nearly the same?

clear all

format long

warning off

figure

set(0,'DefaultAxesFontSize',20);

load('BT_Hom(2).mat')

[~,idx] = max(x(326,:));

plot(x(326,1:idx-20),x(325,1:idx-20),'r', 'LineWidth',2);

hold on

axis([0.14 .18 .15 .18]);

scatter(0.174701,0.177614, 'o', 'MarkerFaceColor', 'r');

xlabel('$a\rightarrow$','FontSize',20,'interpreter','latex','FontWeight','normal','Color','k')

ylabel('$b\rightarrow$','FontSize',20,'interpreter','latex','FontWeight','normal','Color','k')

How can I connect the upper endpoint of the red curve to the red do... (2)

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Answers (2)

Image Analyst on 8 Jun 2024 at 14:03

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    https://jmaab.mathworks.com/matlabcentral/answers/2126636-how-can-i-connect-the-upper-endpoint-of-the-red-curve-to-the-red-dot-while-keeping-the-curvature-nea#answer_1469056

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    https://jmaab.mathworks.com/matlabcentral/answers/2126636-how-can-i-connect-the-upper-endpoint-of-the-red-curve-to-the-red-dot-while-keeping-the-curvature-nea#answer_1469056

  • BT_Hom(2).mat

Try using plot after you use scatter to draw a line from the last point on the curve to the marker you placed with scatter():

figure

set(0,'DefaultAxesFontSize',20);

load('BT_Hom(2).mat')

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>curve_func

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>defaultprocessor

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>options

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>jacobian

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>hessians

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>testf

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>userf

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>process

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>singmat

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>locate

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>init

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>done

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\hom*oclinic\hom*oclinic.m>adapt

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\Systems\sudeshna_3.m>fun_eval

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\Systems\sudeshna_3.m>jacobian

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\Systems\sudeshna_3.m>jacobianp

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\Systems\sudeshna_3.m>hessians

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\Systems\sudeshna_3.m>hessiansp

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\Systems\sudeshna_3.m>der3

Warning: Could not find appropriate function on path loading function handle F:\1. Research\2. Mathematical Biology\MatCont7p4\MatCont7p4\GUI\ComputationConfigurations\ContCurve.m>@(dat)loaderfunction(dat)

[~,idx] = max(x(326,:));

plot(x(326,1:idx-20), x(325,1:idx-20), 'r', 'LineWidth',2);

hold on

axis([0.14 .18 .15 .18]);

scatter(0.174701,0.177614, 'o', 'MarkerFaceColor', 'r');

xTip = [x(326,1:idx-20), 0.174701];

yTip = [x(325,1:idx-20), 0.177614];

plot(xTip, yTip, 'r-', 'LineWidth', 2);

grid on;

xlabel('$a\rightarrow$','FontSize',20,'interpreter','latex','FontWeight','normal','Color','k')

ylabel('$b\rightarrow$','FontSize',20,'interpreter','latex','FontWeight','normal','Color','k')

How can I connect the upper endpoint of the red curve to the red do... (4)

There will be a slight change in curvature. It it's really objectionable, you can use the scatter point and the last two points of the curve and fit a cubic to it and interpolate a bunch of points in between. Not sure it would look much different though than the straight line.

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Atom on 8 Jun 2024 at 14:34

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Edited: Atom on 8 Jun 2024 at 14:37

Thank you. I tried using the straight line approach, but the curvature isn't very smooth. If the gap of curve and point is increased a bit more, it will look bad. Could you please help me with the code of the other method you mentioned?

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Image Analyst on 8 Jun 2024 at 19:16

Direct link to this comment

https://jmaab.mathworks.com/matlabcentral/answers/2126636-how-can-i-connect-the-upper-endpoint-of-the-red-curve-to-the-red-dot-while-keeping-the-curvature-nea#comment_3182281

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Edited: Image Analyst on 8 Jun 2024 at 19:18

As you can see, Star used some more sophisticated methods and the plot looks virtually the same. Are they still not good enough? Is so, why not? What is the purpose of the plot? Who is the consumer/viewer of these plots and will they be annoyed if it's not smoother?

But realize that as the final point gets much further away, the connecting curve will have to look more and more like a line. I mean if the point was out at 0.4 or 0.5, what would you expect the connecting curve to look like? It can't be very curvy!

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Star Strider on 8 Jun 2024 at 18:36

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    https://jmaab.mathworks.com/matlabcentral/answers/2126636-how-can-i-connect-the-upper-endpoint-of-the-red-curve-to-the-red-dot-while-keeping-the-curvature-nea#answer_1469101

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    https://jmaab.mathworks.com/matlabcentral/answers/2126636-how-can-i-connect-the-upper-endpoint-of-the-red-curve-to-the-red-dot-while-keeping-the-curvature-nea#answer_1469101

Open in MATLAB Online

  • BT_Hom(2).mat

Here are options using pchip, makima and spline —

clear all

format long

warning off

figure

set(0,'DefaultAxesFontSize',20);

load('BT_Hom(2).mat')

[~,idx] = max(x(326,:));

plot(x(326,1:idx-20),x(325,1:idx-20),'r', 'LineWidth',2);

hold on

axis([0.14 .18 .15 .18]);

scatter(0.174701,0.177614, 'o', 'MarkerFaceColor', 'r');

% line_end = [x(326,idx-20),x(325,idx-20)];

line_end = [x(326,idx-21:idx-20);x(325,idx-21:idx-20)];

scatter_point = [0.174701,0.17761];

connecting_line(1,:) = linspace(line_end(1), scatter_point(1), 150);

connecting_line(2,:) = pchip([line_end(1,:) scatter_point(1)], [line_end(2,:) scatter_point(2)], connecting_line(1,:));

plot(connecting_line(1,:), connecting_line(2,:),'r', 'LineWidth',2);

title('Using ‘pchip’')

xlabel('$a\rightarrow$','FontSize',20,'interpreter','latex','FontWeight','normal','Color','k')

ylabel('$b\rightarrow$','FontSize',20,'interpreter','latex','FontWeight','normal','Color','k')

How can I connect the upper endpoint of the red curve to the red do... (8)

figure

set(0,'DefaultAxesFontSize',20);

load('BT_Hom(2).mat')

[~,idx] = max(x(326,:));

plot(x(326,1:idx-20),x(325,1:idx-20),'r', 'LineWidth',2);

hold on

axis([0.14 .18 .15 .18]);

scatter(0.174701,0.177614, 'o', 'MarkerFaceColor', 'r');

% line_end = [x(326,idx-20),x(325,idx-20)];

line_end = [x(326,idx-21:idx-20);x(325,idx-21:idx-20)];

scatter_point = [0.174701,0.17761];

connecting_line(1,:) = linspace(line_end(1), scatter_point(1), 150);

connecting_line(2,:) = makima([line_end(1,:) scatter_point(1)], [line_end(2,:) scatter_point(2)], connecting_line(1,:));

plot(connecting_line(1,:), connecting_line(2,:),'r', 'LineWidth',2);

title('Using ‘makima’')

xlabel('$a\rightarrow$','FontSize',20,'interpreter','latex','FontWeight','normal','Color','k')

ylabel('$b\rightarrow$','FontSize',20,'interpreter','latex','FontWeight','normal','Color','k')

How can I connect the upper endpoint of the red curve to the red do... (9)

figure

set(0,'DefaultAxesFontSize',20);

load('BT_Hom(2).mat')

[~,idx] = max(x(326,:));

plot(x(326,1:idx-20),x(325,1:idx-20),'r', 'LineWidth',2);

hold on

axis([0.14 .18 .15 .18]);

scatter(0.174701,0.177614, 'o', 'MarkerFaceColor', 'r');

% line_end = [x(326,idx-20),x(325,idx-20)];

line_end = [x(326,idx-21:idx-20);x(325,idx-21:idx-20)];

scatter_point = [0.174701,0.17761];

connecting_line(1,:) = linspace(line_end(1), scatter_point(1), 150);

connecting_line(2,:) = spline([line_end(1,:) scatter_point(1)], [line_end(2,:) scatter_point(2)], connecting_line(1,:));

plot(connecting_line(1,:), connecting_line(2,:),'r', 'LineWidth',2);

title('Using ‘spline’')

xlabel('$a\rightarrow$','FontSize',20,'interpreter','latex','FontWeight','normal','Color','k')

ylabel('$b\rightarrow$','FontSize',20,'interpreter','latex','FontWeight','normal','Color','k')

How can I connect the upper endpoint of the red curve to the red do... (10)

This uses the last two points of the red line so that the interpolation functions can use that slope information as well. That is straightforward to expand if necessary. The original (and now commented-out) vales for ‘line_end’ used only the last point.

Zoom in on these to see which works best for you.

.

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How can I connect the upper endpoint of the red curve to the red do... (2024)

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