MATLAB: Add circles to starting and ending point of a line

line covex circleMATLAB

Hi,

I am looking for a way to add a circle at both Ends of a line, as done manually in the Picture shown in the Appendix.

In Addition, I would also like to add such a circle in the middle of the line (at x=9) for both the cruve and the staigth line, in order to Show the convexity and therefore the value of the Point on the line being larger than the one on the curve

Best Answer

x = [1 17];
y= [19.99 18.57];
line(x,y,'Color','r','LineWidth',4)
radius = 1; 
centerX = 1;
centerY = 19.99;
rectangle('Position',[centerX - radius, centerY - radius, radius*2, radius*2],...
    'Curvature',[1,1],...
    'FaceColor','r');
axis square;
centerX = (1+17)/2;
centerY = (19.9+18.57)/2;
rectangle('Position',[centerX - radius, centerY - radius, radius*2, radius*2],...
    'Curvature',[1,1],...
    'FaceColor','r');
axis square;
radius = 1; 
centerX = 17;
centerY = 18.57;
rectangle('Position',[centerX - radius, centerY - radius, radius*2, radius*2],...
    'Curvature',[1,1],...
    'FaceColor','r');
axis square;

Related Solutions

MATLAB: Find points of intersection circle with line

clc; clear all ;
C = [1.5 1.5] ;   % center of cricle 
r = 1.5 ;         % radius of circle 
% 
x = 0:1:3 ; 
y = 0:1:3 ; 
[X,Y] = meshgrid(x,y) ; 
%
th = linspace(0,2*pi) ; 
xc = C(1)+r*cos(th) ; 
yc = C(2)+r*sin(th) ; 
L1 = [xc;yc] ;
% GEt intersecdtion points 
% along X 
[m,n] = size(X) ; 
for i = 1:m
  L2 = [X(i,:) ; Y(i,:)] ; 
  P{i} = InterX(L1,L2)
end
for i = 1:n
  L2 = [X(:,i) Y(:,i)]' ;
  Q{i} = InterX(L1,L2) ;
end
P = cell2mat([P Q]) ;
plot(xc,yc,'b') ;
hold on
plot(X,Y,'r')
plot(X',Y','r')
plot(P(1,:),P(2,:),'*k')

InterX can be downloaded from here: https://in.mathworks.com/matlabcentral/fileexchange/22441-curve-intersections?focused=5165138&tab=function

MATLAB: Plot a small circle moving along a larger semi-circle

well i'd say you were very close but should have tackled the problem from another angle.

%Equation for semi circle
    th = linspace( pi, 0, 100);
    R = 1;  %or whatever radius you want
    x = R*cos(th);
    y = R*sin(th);
%draws the semi circle
    h=line(60*x,60*y,...
            'LineWidth',2) ; 
        axis equal
%ball=rectangle('Position',[-5,60,10,10    ],...
%                   'Curvature',[1,1],...
%                   'FaceColor','b');
th = linspace( pi, 0, 15);
R = 60+5;  %radius of path of center of circle as it rolls around semicircle
x2 = R*cos(th)-5; %offset to LL corner of the rectangle 

y2 = R*sin(th)-5; %offset to LL corner of the rectangle 
      h2=line(x2,y2,...
              'LineWidth',2,'color','r') ; 
          axis equal
  for ind = 1:length(x2)
      ball=rectangle('Position',[x2(ind),y2(ind),10,10],...
                     'Curvature',[1,1],...
                     'FaceColor','b');
  end

What you should have done is thought it as what is the path of the center of the circle and then offset it by where you reference the center of the circle.

Best Answer

Related Solutions

MATLAB: Find points of intersection circle with line

MATLAB: Plot a small circle moving along a larger semi-circle

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