SVD, PCA, multi dimensional visualization

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rigetFrog
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I just did some quick searches for open source multi dimensional data visualization, but can't find what I'm looking for.

Before I spend time coding it up, I want to see if some one's done it already.

The data will be points with multi (n>20) dimensional coordinates

1) I want to be able to have three plots with orthogonal views, with the ability to change my phi, theta, distance.

2) Slice outliers from the data set by pointing and clicking on the graphs.

3) choose which basis vectors for the axes

4) recompute the SVD or PCA, and the data's projection on it after removing outliers.
 
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I'm using PyQt. It's great, but it would take some time to code.
 
Mayavi is embeddable into your PyQt application.