MATLAB Mathematics - SERC - Index of

Interpolation
7 Compare the contour plots for the different interpolation methods.
3
3
3
2
2
2
1
1
1
0
0
0
−1
−1
−1
−2
−2
−2
−3
−3 −2 −1 0 1 2 3
−3
−3 −2 −1 0 1 2 3
−3
−3 −2 −1 0 1 2 3
contour(xi,yi,zi1)
% nearest
contour(xi,yi,zi2)
% bilinear
contour(xi,yi,zi3)
% bicubic
Notice that the bicubic method, in particular, produces smoother contours.
This is not always the primary concern, however. For some applications, such
as medical image processing, a method like nearest neighbor may be preferred
because it doesn’t generate any “new” data values.
Interpolation and Multidimensional Arrays
Several interpolation functions operate specifically on multidimensional data.
Interpolation Functions for Multidimensional Data
Function
interp3
interpn
ndgrid
Description
Three-dimensional data interpolation.
Multidimensional data interpolation.
Multidimensional data gridding (elmat directory).
This section discusses
• Interpolation of three-dimensional data
• Interpolation of higher dimensional data
• Multidimensional data gridding
2-15