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transform infinite plane into finite circular plane

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Alberto Acri
Alberto Acri 2023-9-24
编辑： Bruno Luong 2023-9-25
Ran in:
Is it possible to generate a plan of limited dimensions, for example a 10x10 square?
line = importdata("line_w.mat");
normal = importdata("normal_w.mat");
row = 10; % variabile
P = line(row,:);
plane = normal(row,:);
a=plane(1); b=plane(2); c=plane(3);
d=dot(plane,P);
figure
plot3(line(:,1),line(:,2),line(:,3),'r.','Markersize',10);
hold on
plot3(P(:,1),P(:,2),P(:,3),'b.','Markersize',15);
fimplicit3(@(x,y,z) a*x+b*y+z*c-d)
hold off
axis equal
xlabel('x')
ylabel('y')
zlabel('z')
xlim([0 50])
ylim([-50 20])

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采纳的回答

Matt J
Matt J 2023-9-24
编辑：Matt J 2023-9-24
Ran in:
You can use patch.
[a,b,c]=deal(1); %fake input data
P=[1 1 1];
R=2;
t=(0:359)';
V=R*[cosd(t),sind(t)]*null([a,b,c])' + P(:)';
patch(V(:,1), V(:,2),V(:,3),'r'); axis square
view(40,25); grid on
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Bruno Luong
Bruno Luong 2023-9-25
编辑：Bruno Luong 2023-9-25
Ran in:
[a,b,c]=deal(1); %fake input data
P=[1 1 1];
% ellipse principla axis lengths
R1=1;
R2=5;
t=(0:359)';
V=[cosd(t),sind(t)]*diag([R1,R2])*null([a,b,c])' + P(:)';
patch(V(:,1), V(:,2),V(:,3),'r'); axis square
view(40,25); grid on

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更多回答（1 个）

Image Analyst
Image Analyst 2023-9-24
Perhaps try rescaling the appropriate variables with rescale.
  1 个评论
Alberto Acri
Alberto Acri 2023-9-24
编辑：Alberto Acri 2023-9-24
Thanks for the response. Could you tell me how to obtain the matrix to use in 'rescale'?
Also, is it possible to generate, on that plane created with fimplicit3, a circular-shaped plane defined by the radius R?

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