create a 3D average plan (or normal) from two 3D plans (or normals)

How can I determine the average plan knowing the plans of the two attached sets of nodes?

load plan_1_2.mat
figure
plot3(plan_1(:,1),plan_1(:,2),plan_1(:,3),'mo','Markersize',4);  % normal 1
hold on
plot3(plan_2(:,1),plan_2(:,2),plan_2(:,3),'go','Markersize',4);  % normal 2
hold off
axis equal
xlabel('x')
ylabel('y')
zlabel('z')
grid off

Or, is it possible to create an average normals?

Answer 1

[Matt J]

There is no universally recognized concept of an "average plane". One definition you could adopt is the plane obtained by fitting the union of the green and magenta nodes.

[Matt J]

That will produce a 3x1 vector defining a plane, but it's anyone's guess what it means.