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Draw arc with specified angle difference

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Having 2 datas as attached in Data.mat, how to draw arc with a specified angle difference (angle difference can vary say 15, 30 or any other value as given by user)
The data columns in order are angle, radius, depth
How can i find the center with the attached data, so that both the arcs pass through the center, and display it in x,y,z coordinate
  3 Comments
Elysi Cochin
Elysi Cochin on 9 Jun 2021
Sir, can you show me how to plot, if the angles are radian values (descending spiral)

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Accepted Answer

Star Strider
Star Strider on 9 Jun 2021
Try this —
LD = load('Data.mat');
Data1 = LD.Data1;
A1 = Data1(:,1);
R1 = Data1(:,2);
D1 = Data1(:,3);
Data2 = LD.Data2;
A2 = Data2(:,1);
R2 = Data2(:,2);
D2 = Data2(:,3);
ctrfcn = @(b,a,r,d) [sqrt((b(1)+r.*cosd(a)).^2 + (b(2)+r.*sind(a)).^2 + (b(3)-d).^2)];
[B1,fval] = fminsearch(@(b)norm(ctrfcn(b,A1,R1,D1)), -rand(3,1)*1E+4)
[B2,fval] = fminsearch(@(b)norm(ctrfcn(b,A2,R2,D2)), -rand(3,1)*1E+4)
figure
plot3(R1.*cosd(A1), R1.*sind(A1), D1, 'm')
hold on
plot3(R2.*cosd(A2), R2.*sind(A2), D2, 'c')
scatter3(B1(1), B1(2), B1(3), 30, 'm', 'p', 'filled')
scatter3(B2(1), B2(2), B2(3), 30, 'c', 'p', 'filled')
hold off
legend('Data_1','Data_2', 'Centre_1', 'Centre_2', 'Location','best')
grid on
The axes are not scaled to be equal, because it then appears to be a flat surface.
Data1 Center:
x = -740.85
y = -349.01
z = 3.83
Data2 Center:
x = -740.96
y = -348.77
z = 3.81
.
  5 Comments
Star Strider
Star Strider on 10 Jun 2021
As a general rule when talking about arcs or circles, the center is the center of the circle. It can never be on any of the circumferences.
You are asking for the midpoint of the arc.
MP1 = median([R1.*cosd(A1)+B1(1), R1.*sind(A1)+B1(2), D1],1);
MP2 = median([R2.*cosd(A2)+B2(1), R2.*sind(A2)+B2(2), D2],1);
fprintf(1,'Arc Midpoint 1:\n\t\tx = %8.2f\n\t\ty = %8.2f\n\t\tz = %8.2f\n',MP1)
fprintf(1,'Arc Midpoint 2:\n\t\tx = %8.2f\n\t\ty = %8.2f\n\t\tz = %8.2f\n',MP2)
produces —
Arc Midpoint 1:
x = 745.33
y = 366.43
z = 3.83
Arc Midpoint 2:
x = 752.68
y = 364.83
z = 3.82
That is the best I can do.

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More Answers (2)

Image Analyst
Image Analyst on 9 Jun 2021
  1 Comment
Elysi Cochin
Elysi Cochin on 9 Jun 2021
Sir, i saw that link, but the data I have, is different with the example shown in the link.

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darova
darova on 9 Jun 2021
Wha about this representation?
s = load('data.mat');
t = linspace(0,1,20)*pi/180; % angle array
[X,Y,Z] = deal( zeros(10,20) ); % preallocation matrices
for i = 1:10
[X(i,:),Y(i,:)] = pol2cart(t*s.Data1(i,1),s.Data1(i,2)); % create arc
Z(i,:) = s.Data1(i,3); % depth
end
surf(X,Y,Z)
  1 Comment
Elysi Cochin
Elysi Cochin on 9 Jun 2021
Sir how to convert the radius value from degrees to radians and plot the figure
also, at a time i want to give only one angle

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