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This œuvre, Dimension Reduction on Polyspheres with Application to Skeletal Representations, by Stephan Huckemann is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

Dimension Reduction on Polyspheres with Application to Skeletal Representations


Dimension Reduction on Polyspheres with Application to Skeletal Representations
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We present a novel method that adaptively deforms a polysphere (a product of spheres) into a single high dimensional sphere which then allows for principal nested spheres (PNS) analysis. Applying our method to skeletal representations of simulated bodies as well as of data from real human hippocampi yields promising results in view of dimension reduction. Specifically in comparison to composite PNS (CPNS), our method of principal nested deformed spheres (PNDS) captures essential modes of variation by lower dimensional representations.
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Dimension Reduction on Polyspheres with Application to Skeletal Representations
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