how to resample points with preset angle

Hi expert,

I am not sure if the title of this post represents the question I am going to ask very well.

I have the coordinate of a rounded triangle as shown in the plot

The coordinate of the plot is listed below. My question is how to resample this curve suppose I want to have them every theta = 2*pi/37 or every 10 degree spacing.

the x and y coordinate of the triangle is:

    0.7900         0
    0.7898    0.0816
    0.7893    0.1627
    0.7883    0.2426
    0.7868    0.3211
    0.7847    0.3974
    0.7819    0.4712
    0.7781    0.5420
    0.7733    0.6094
    0.7672    0.6730
    0.7596    0.7325
    0.7503    0.7875
    0.7391    0.8379
    0.7257    0.8834
    0.7100    0.9238
    0.6917    0.9591
    0.6707    0.9892
    0.6467    1.0141
    0.6197    1.0338
    0.5895    1.0484
    0.5560    1.0580
    0.5191    1.0627
    0.4789    1.0627
    0.4353    1.0583
    0.3885    1.0497
    0.3384    1.0371
    0.2852    1.0208
    0.2291    1.0010
    0.1703    0.9782
    0.1090    0.9526
    0.0454    0.9244
   -0.0200    0.8940
   -0.0870    0.8616
   -0.1553    0.8276
   -0.2244    0.7922
   -0.2940    0.7557
   -0.3637    0.7182
   -0.4330    0.6800
   -0.5016    0.6414
   -0.5690    0.6024
   -0.6348    0.5632
   -0.6986    0.5240
   -0.7600    0.4848
   -0.8185    0.4458
   -0.8739    0.4071
   -0.9258    0.3686
   -0.9737    0.3305
   -1.0175    0.2926
   -1.0569    0.2552
   -1.0915    0.2180
   -1.1212    0.1812
   -1.1458    0.1446
   -1.1650    0.1082
   -1.1789    0.0721
   -1.1872    0.0360
   -1.1900         0
   -1.1872   -0.0360
   -1.1789   -0.0721
   -1.1650   -0.1082
   -1.1458   -0.1446
   -1.1212   -0.1812
   -1.0915   -0.2180
   -1.0569   -0.2552
   -1.0175   -0.2926
   -0.9737   -0.3305
   -0.9258   -0.3686
   -0.8739   -0.4071
   -0.8185   -0.4458
   -0.7600   -0.4848
   -0.6986   -0.5240
   -0.6348   -0.5632
   -0.5690   -0.6024
   -0.5016   -0.6414
   -0.4330   -0.6800
   -0.3637   -0.7182
   -0.2940   -0.7557
   -0.2244   -0.7922
   -0.1553   -0.8276
   -0.0870   -0.8616
   -0.0200   -0.8940
    0.0454   -0.9244
    0.1090   -0.9526
    0.1703   -0.9782
    0.2291   -1.0010
    0.2852   -1.0208
    0.3384   -1.0371
    0.3885   -1.0497
    0.4353   -1.0583
    0.4789   -1.0627
    0.5191   -1.0627
    0.5560   -1.0580
    0.5895   -1.0484
    0.6197   -1.0338
    0.6467   -1.0141
    0.6707   -0.9892
    0.6917   -0.9591
    0.7100   -0.9238
    0.7257   -0.8834
    0.7391   -0.8379
    0.7503   -0.7875
    0.7596   -0.7325
    0.7672   -0.6730
    0.7733   -0.6094
    0.7781   -0.5420
    0.7819   -0.4712
    0.7847   -0.3974
    0.7868   -0.3211
    0.7883   -0.2426
    0.7893   -0.1627
    0.7898   -0.0816
    0.7900         0

Answer 1

[Ameer Hamza]

Try this

x = points(:,1); % first column of points you shared
y = points(:,2);  % second column of points

x_new = interp1(linspace(0, 2*pi, numel(x)), x, 0:2*pi/37:2*pi);
y_new = interp1(linspace(0, 2*pi, numel(y)), y, 0:2*pi/37:2*pi);

x_new and y_new contains the required points.