Abstract
Publisher Summary This chapter discusses the estimation and application of errors. It illustrates that quantitative imaging has already passed from the status of speculative endeavor to that of useful technique. The chapter focuses on the study of errors. Quantitative magnetic resonance imaging (QMRI) methods attempt to obtain “quantitative”—that is, absolute-valued, with well defined error limits—maps of nuclear magnetic resonance (NMR) parameters or other derived quantities, which vary spatially across the sample. This chapter investigates two basic questions: firstly, the question arises as to why QMRI is done—that is, what specific, tangible advantages are obtained by creating such quantitative parameter maps, which are not available from suitably-weighted normal MR images. Secondly, and the main subject of the chapter: how good is QMRI or how precise and accurate the images are, which are termed “quantitative.” The chapter discusses the basic methods of data acquisition, the construction of quantitative parameter maps, and the practical problems posed by these two steps. Random errors and systematic errors are also described.
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