Shaping spatial response functions for optimal estimation of compartmental signals from limited fourier data

Justin P. Haldar, Diego Hernando, Zhi-Pei Liang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The goal of quantitative MRI experiments is often to generate summary statistics regarding the behavior of the image within given regions of interest. In this work, we show that it is possible to generate better estimates for compartmental signals without requiring an initial image reconstruction step. The proposed approach is optimal in that it minimizes the worst case mean-squared error for the class of linear estimators and for a set of signals satisfying known magnitude constraints. In addition, it conveniently results in a criterion by which different experimental parameters can be compared. The extension of this region of interest quantification to image reconstruction is straightforward, as image reconstruction can be thought of as a graphical tiling of region of interest estimates of the signal.

Original languageEnglish (US)
Title of host publication2007 4th IEEE International Symposium on Biomedical Imaging
Subtitle of host publicationFrom Nano to Macro - Proceedings
Pages1364-1367
Number of pages4
DOIs
StatePublished - Nov 27 2007
Event2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07 - Arlington, VA, United States
Duration: Apr 12 2007Apr 15 2007

Publication series

Name2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings

Other

Other2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07
CountryUnited States
CityArlington, VA
Period4/12/074/15/07

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Keywords

  • Magnetic resonance imaging
  • Parameter estimation
  • Quantification

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Medicine(all)

Cite this

Haldar, J. P., Hernando, D., & Liang, Z-P. (2007). Shaping spatial response functions for optimal estimation of compartmental signals from limited fourier data. In 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings (pp. 1364-1367). [4193548] (2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings). https://doi.org/10.1109/ISBI.2007.357114