How to select point or lines on the graph

Hi everyone. Please run the following code. It will create a scatter grap with 5 points. I want to select the nearest point on the screen that user click. In other words user can select any point by clicking the mause. It is easy for 5 point but there must be more compact way if there is too many points like 10^4. Do you have any sugestion to increase the speed of this code. I think there must be a beter solution since on the figure menu bar as you all know there is mause icon called "edit plot". User can easly select any data by using it or data curser.

function asd
global points
points=[7 5 9 6 4; 7 4 2 5 8];
ax1=axes('Position',[0 0 1 1]);
scatter(points(1,:),points(2,:));
set(ax1,'ButtonDownFcn',@mauseclick);
grid on

function mauseclick(source, event)
global points
CPoint=get(source,'CurrentPoint')
[r,c]=size(points);
for i=1:c
    distance(i)=sqrt((points(1,i)-CPoint(1,1,1)).^2+(points(2,i)-CPoint(1,2,1)).^2);
end
[value,indis]=min(distance)
hold on
scatter(points(1,indis),points(2,indis),'blue','LineWidth',2,'Marker','*');

Answer 1

[Walter Roberson]

Do not loop. Use

distance = sqrt( (points(1,:) - CPoint(1,1,1)).^2 + (points(2,:) - CPoint(1,2,1)).^2 );

[Volkan Kandemir]

ok this might be helpfull but still is there a event data that gives me object that mause click instead of mause coordinate.

Answer 2

[bym]

You can try this:

clc;clear;close all

x = rand(100,2);

plot(x(:,1),x(:,2), 'b.')
xlim([-.25,1.25])
ylim([-.25,1.25])
hold on

[u,v] = ginput(1);

[trash,idx] = min(hypot(x(:,1)-u,x(:,2)-v));

plot(x(idx,1),x(idx,2),'ro')