Shape Interpolation from csv
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I have a shapes in terms of cartesian coordinates read from a csv file and want to interpolate the shape to increase the number of points I have. CSV has three columns (X, Y, Z) and each row is on point. All the documentation I have found (meshgrid, datagrid, ect) works by using vectors to create a grid of points, I already have the points but matlab will not let me manipulate the data while in 'double' format. How can I read in the data and interpolate the points to increae the density of my meshes?
%Read in file data
a=csvread('r1.csv');
%convert m to mm
X=a(:,1)/1000;
Y=a(:,2)/1000;
Z=a(:,3)/1000;
Then I want to interpolate between data points to increase the number of points I have.
Any help will be greatly appreciated.
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Stephan
am 21 Aug. 2020
Bearbeitet: Stephan
am 21 Aug. 2020
If the curvature is small enough compared to the distance between the original points, a little bit of analytical geometry might help:
% Some data to play with - an arbitrary line in 3D
x = [1 2 3 4];
y = [-1 5 2 7];
z = [0 1 2 6];
% Concatenate vectors of x, y, z to one matrix
A = [x; y; z];
% Calculate Coordinates of the bisector to get query points
B = (A(:,1:end-1) + A(:,2:end)) ./ 2;
% Extract the single vectors
xq = B(1,:);
yq = B(2,:);
zq = B(3,:);
% plot the line that connects all original points
plot3(x,y,z)
hold on
% plot the original points in blue
scatter3(x,y,z,'ob','filled')
% plot the new interpolated points in red
scatter3(xq,yq,zq,'or','filled')
hold off
You could repeat this process (for example by using a function) if you need more points.
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