How to upsample (increase) 2d points with interpolation

Hi, I want to upsampling 2d points (x,y) with interpolation.

Variable 'pts' contains 4x2 points (plot below), and I want to increase it to 1009x2 points, and the shape of 2d plot should not be changed.

I tried interp1 as below, but it changes the overall shape of plot.

load points

figure; plot(pts(:,1),pts(:,2))

vr = linspace(min(pts(:,1)), max(pts(:,1)), 1009);

ve = linspace(min(pts(:,2)), max(pts(:,2)), 1009);

B = interp1(1:length(pts(:,1)),pts(:,1),vr);

C = interp1(1:length(pts(:,2)),pts(:,2),ve);

plot(B,C)

How can I increase points of x, y without changing the shape of plot?

Maybe I think using interp2 would help, but I didn't understand the logic..

I attached a data, so please take a look at it!

Answer 1

[Voss]

load points
figure;
plot(pts(:,1),pts(:,2),'LineWidth',6)
hold on

n = size(pts,1);
BC = interp1(1:n,pts,linspace(1,n,1009));

plot(BC(:,1),BC(:,2),'.r','MarkerSize',3)

[aposta95]

Thanks a lot! You saved my day :)

[Voss]

You're welcome!