Csapi Coefficients in a n-dimensional spline
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I am trying to understand the coefficients of a spline.
Basically based on the coefficients.
Given something like
form: 'pp'
breaks: {[1 2] [1 2]}
coefs: [1x2x2 double]
pieces: [1 1]
order: [2 2]
dim: 1
I understand the order, pieces, however. How to interpret the coefficients. Take one piece equation to be: (x,y)
z(1piece) = c1*(x-1)*(y-1)^3+c2*(x-1)*(y-1)^2+c3*(x-1)*(y-1)+c4*(x-1)+c5*(y-1)^3+c6*(y-1)^2+c7*(y-1)+c8;
How do I map the c1 to the coefs? Would it be possible to have a table that can be visualized?
[Merged information from additional question]
Anyone knows how csapi manages its coefficients for 2 or 3 dimensions.
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Wolfgang
am 28 Jun. 2013
You might want to check out my answer to a similar question at http://www.mathworks.com/matlabcentral/answers/77100-reconstruct-multivariate-spline-from-csapi#answer_90257.
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