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Thin Plate Spline Network with Radiohead Example

by Travis Wiens

 

22 Jul 2008 (Updated 17 Jul 2009)

Thin plate splines can be used to interpolate nonuniform data, such as the Radiohead dataset, which

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Description

A thin plate spline radial basis function network may be used to interpolate non-uniformly spaced data. The surface (or line or hypersurface) is fit exactly to the given control points, with the surface in between acting similar to thin sheet of metal.
An example is given using a frame of data from the Radiohead "House of Cards" video dataset, if which the point cloud is interpolated onto a uniform grid for plotting with the surf function.
A simpler example is also included.
See blog.nutaksas.com for more details.

MATLAB release MATLAB 7.4 (R2007a)
Other requirements The default Radioheadhead example should run on most modern computers. If one wishes, the resolution and accuracy may be increased, at the expense of memory and computation time.
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Comments and Ratings (2)
22 Jun 2009 Paul Behrens

A very good example of a powerful technique. The function network may be used to generate a grid for other types of analysis.

08 Oct 2009 Peter Ingram  
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Updates
17 Jul 2009

Removed GPL per Mathworks' requirements.

Tag Activity for this File
Tag Applied By Date/Time
approximation Travis Wiens 22 Oct 2008 10:11:23
interpolation Travis Wiens 22 Oct 2008 10:11:23
thin plate spline Travis Wiens 22 Oct 2008 10:11:23
tps Travis Wiens 22 Oct 2008 10:11:23
rbf Travis Wiens 22 Oct 2008 10:11:23
function Travis Wiens 22 Oct 2008 10:11:23
radial Travis Wiens 22 Oct 2008 10:11:23
basis Travis Wiens 22 Oct 2008 10:11:23
radiohead Travis Wiens 22 Oct 2008 10:11:23
thin plate spline Sofie 07 Apr 2011 08:38:18

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