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 Solvers45
Suggested Problems
-
7650 Solvers
-
The Hitchhiker's Guide to MATLAB
3296 Solvers
-
How long is the longest prime diagonal?
396 Solvers
-
Right Triangle Side Lengths (Inspired by Project Euler Problem 39)
1788 Solvers
-
Create an n-by-n null matrix and fill with ones certain positions
602 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!