MATLAB Mathematics - SERC - Index of

Interpolation
processing. Use bicubic interpolation when the interpolated data and its
derivative must be continuous.
All of these methods require that X and Y be monotonic, that is, either always
increasing or always decreasing from point to point. You should prepare these
matrices using the meshgrid function, or else be sure that the “pattern” of the
points emulates the output of meshgrid. In addition, each method
automatically maps the input to an equally spaced domain before
interpolating. If X and Y are already equally spaced, you can speed execution
time by prepending an asterisk to the method string, for example, '*cubic'.
Comparing Interpolation Methods
This example compares two-dimensional interpolation methods on a 7-by-7
matrix of data:
1 Generate the peaks function at low resolution:
[x,y] = meshgrid(-3:1:3);
z = peaks(x,y);
surf(x,y,z)
6
4
2
0
−2
−4
−6
3
2
1
0
−1
−2
−3
−3
−2
−1
0
1
2
3
2-13