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Proceedings Paper

Sparse principal component analysis in medical shape modeling
Author(s): Karl Sjöstrand; Mikkel B. Stegmann; Rasmus Larsen
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Paper Abstract

Principal component analysis (PCA) is a widely used tool in medical image analysis for data reduction, model building, and data understanding and exploration. While PCA is a holistic approach where each new variable is a linear combination of all original variables, sparse PCA (SPCA) aims at producing easily interpreted models through sparse loadings, i.e. each new variable is a linear combination of a subset of the original variables. One of the aims of using SPCA is the possible separation of the results into isolated and easily identifiable effects. This article introduces SPCA for shape analysis in medicine. Results for three different data sets are given in relation to standard PCA and sparse PCA by simple thresholding of small loadings. Focus is on a recent algorithm for computing sparse principal components, but a review of other approaches is supplied as well. The SPCA algorithm has been implemented using Matlab and is available for download. The general behavior of the algorithm is investigated, and strengths and weaknesses are discussed. The original report on the SPCA algorithm argues that the ordering of modes is not an issue. We disagree on this point and propose several approaches to establish sensible orderings. A method that orders modes by decreasing variance and maximizes the sum of variances for all modes is presented and investigated in detail.

Paper Details

Date Published: 15 March 2006
PDF: 12 pages
Proc. SPIE 6144, Medical Imaging 2006: Image Processing, 61444X (15 March 2006); doi: 10.1117/12.651658
Show Author Affiliations
Karl Sjöstrand, Technical Univ. of Denmark (Denmark)
Mikkel B. Stegmann, Technical Univ. of Denmark (Denmark)
Rasmus Larsen, Technical Univ. of Denmark (Denmark)


Published in SPIE Proceedings Vol. 6144:
Medical Imaging 2006: Image Processing
Joseph M. Reinhardt; Josien P. W. Pluim, Editor(s)

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