Meeting Banner
Abstract #2267

Time Shifted Principle Component Analysis

Jason K. Mendes1, Dennis L. Parker1

1Radiology - UCAIR, University of Utah, Salt Lake City, UT, United States

The temporal signal in any given voxel can be approximated by a combination of a finite number of basis functions (or principle components). As we keep fewer principle components, we can increase the amount of data undersampling. This can cause a problem, however, when two voxels exhibit highly correlated signals that differ by only a small delay in time. In such cases, keeping only a small number of principle components can inadvertently change the temporal characteristics of these voxels by matching them to the same principle components. The proposed method helps to address this concern by reducing the number of principle components needed to reconstruct an undersampled data set by allowing time shifted principle components.

Keywords

acknowledgments added address adjacent administration aligned allow altered amount arrows artifact available axial back basic become best better blood calculating cardiac care chair characteristics city classified clinical coil colored combination comparing competition component components consider constant constrained constraining constraint contain correlate correlated creates decomposition delay desired differ dominant echoes endowed erroneous except exhibit find foundation fully general grant graphs health helps highly huntsman identical indicated instances instead intensities intensity iris keeping lake latter linear little magnet manner many mark match matching medical merit might modeled modeling motion multiplicative needed normalized parker periodic physiological plotted popular possibility powerful premise preserve preserves principal principle prior problematic procedure process proposed radiology rather receive reconstruct reconstructed reconstructing reconstruction recovers reducing related remove removed repeat resolution resolved restricted retained retaining retrospectively review salt sampled scaled select selected since singular spectrum step steps subtract system temporal temporally theory tissue tool transform unable vary version vessel vessels voluntary