Create a function that is the sum of an arbitrary number of functions

I would like to build a generate a Bezier function for a general number of Bezier points P using the equation:

then

I generate each term in the sum as a separate cell:

n=size(P,1)-1;
for i=0:n 
   Bi{i+1}=@(t) nchoosek(n,i)*(1-t).^(n-i).*t.^i*P(i+1,:)
end

this gives me a cell array of function handles.

Now I want to create the total Bezier function B(t) by adding all the terms Bi(t) but I am not sure how this is done in the best way.

Can someone give me a tip how to do this?

Thanks for answer in advance!

Answer 1

[Walter Roberson]

@(t) sum(cellfun(@(H) H(t), Bi))

[Thomas Schäfer]

This does not seem to work...

[Walter Roberson]

What difficulty do you observe? I just tested it on some random data and it runs without error message.

[Thomas Schäfer]

Hi

Thank you for your time. Below I have pasted the MATAB scrit that I use to try this.

P=[[1:4]',[1:4]']*3+rand(4,2); %Four points, somewhat deviating from a straight line.
n=size(P,1)-1;
for i=0:n 
   Bi{i+1}=@(t) nchoosek(n,i)*(1-t).^(n-i).*t.^i*P(i+1,:);
end
B=@(t) sum(cellfun(@(H) H(t), Bi));
B(.5)

I get the following error: