Problem 486. Surface Fit z(x,y)
Given three vectors x,y,z. Find four coefficients c = [cxx cxy cyy c00], such that z = cxx*x.^2+cxy*x.*y+cyy*y.^2+c00.
For example,
x = [ 0 0 1 1 2 2 3 3] y = [ 0 1 0 1 0 1 0 1] z = [-4 -1 -3 -2 0 -1 5 2]
then
z = x.^2-2*x.*y+3*y.^2-4
and
c = [cxx cxy cyy c00] = [1 -2 3 -4]
Solution Stats
Problem Comments
-
2 Comments
Tim
on 12 Mar 2012
The test suite does not allow for roundoff error.
AMITAVA BISWAS
on 12 Mar 2012
good point, fixed, thanks
Solution Comments
Show commentsProblem Recent Solvers44
Suggested Problems
-
Find common elements in matrix rows
2571 Solvers
-
2393 Solvers
-
20564 Solvers
-
Numbers with prime factors 2, 3 and 5.
464 Solvers
-
convert matrix to single column
395 Solvers
More from this Author100
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!