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

Question

Thomas Schäfer 2019-10-18

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https://ww2.mathworks.cn/matlabcentral/answers/486077-create-a-function-that-is-the-sum-of-an-arbitrary-number-of-functions

评论： Thomas Schäfer 2019-10-21

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

$ea46373831d9ae9adfa859cbcd305989980e6dc6$

then

$214de6a8893a07bb1ac8dbb731089f7f8f8cdaaa$

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!

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Answer 1

Walter Roberson 2019-10-18

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

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Walter Roberson 2019-10-18

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

Thomas Schäfer 2019-10-21

在 MATLAB Online 中打开

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:

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

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

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