Interpolate/Resample to a specific decimal point

I've got a cell array with different values in each array, sampled at different points. These points are random. I'm currently trying to figure out a way to resample+interpolate them in such a way that I can average over each cell row in the cell array. for example,

x{2}=[1 3 4 7 6 3 6]

should become

x{2}=[1 2 3 4 5 6 7 6 5 4 3 4 5 6]

I've looked into functions like interp1 and resample, but these assume that you have a vector of points you want to get or the target number of samples. I know neither. The ideal function would be something that takes in the intial vector(x{2}) and the desired sampling interval (1). How can I go about solving this problem?

[Matt J]

Suppose your sampling interval was 1, but your initial vector was

 x=[1 3.17 4 7.8 6 3 6]

What result would you expect?

Or, what if your input vector was still

 x=[1 3 4 7 6 3 6]

but your sampling interval was 1.6? What result would you expect then?

[a j]

I should've added this in the post, but my data will always have the same number of digits after the decimal point. For the first one, I would have 2 digits after the decimal point, so my sampling interval would be .01, and I'd have a vector that would be [1 1.01 1.02 .... 3.17 3.18....].

Answer 1

[Stephen23]

Assuming no adjacent duplicate values:

S = 1;
V = [1,3,4,7,6,3,6];
X = cumsum([1,abs(diff(V))]);
Z = interp1(X,V,1:S:X(end))

Z = 1×14

1 2 3 4 5 6 7 6 5 4 3 4 5 6

Answer 2

[Mathieu NOE]

hello

try this :

x=[1 3 4 7 6 3 6];

out = my_resample(x)

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function out = my_resample(x)
out = [];

for ci = 2:length(x)
    
    delta = sign(x(ci) - x(ci-1));
    tmp = x(ci-1):delta:x(ci);
    out = [out tmp(1:end-1)];
    
end

out = [out x(end)]; % include last value
end

it gives :

out = 1 2 3 4 5 6 7 6 5 4 3 4 5 6