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22 lines
713 B
22 lines
713 B
function C_1 = dC_split(C,t0)
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% Given a bernstein polynomial, splits it into two polynomials at t0;
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% Input parameters
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% C: This is a bernstein polynomial's control points (aka coefficients)
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% t0: This is the point at which we wish to split the polynomial
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% Output parameters
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% C_1: Coefficients of resulting polynomials (rows 1:d are first poly, rows
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% d+1:2*d are second poly)
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[d,n] = size(C);
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C_1 = zeros(2*d,n);
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% C_2 = zeros(d,n);
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for j=1:d
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cdiv_mat=zeros(n);
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cdiv_mat(1,:)=C(j,:);
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for i=2:n
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cdiv_mat(i,:)=cdiv_mat(i-1,:)*(1-t0) + circshift(cdiv_mat(i-1,:),-1)*t0;
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end
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cdiv_mat=triu(fliplr(cdiv_mat));
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C_1(j,:) = cdiv_mat(:,end);
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C_1(j+d,:) = flipud(diag(cdiv_mat));
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end
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