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The Results of the Sub-Pixel Efficacy Region Based Trivariate Linear Interpolation Function

The Results of the Sub-Pixel Efficacy Region Based Trivariate Linear Interpolation Function

Carlo Ciulla
Copyright: © 2009 |Pages: 18
ISBN13: 9781605662022|ISBN10: 160566202X|ISBN13 Softcover: 9781616925314|EISBN13: 9781605662039
DOI: 10.4018/978-1-60566-202-2.ch011
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MLA

Carlo Ciulla. "The Results of the Sub-Pixel Efficacy Region Based Trivariate Linear Interpolation Function." Improved Signal and Image Interpolation in Biomedical Applications: The Case of Magnetic Resonance Imaging (MRI), IGI Global, 2009, pp.188-205. https://doi.org/10.4018/978-1-60566-202-2.ch011

APA

C. Ciulla (2009). The Results of the Sub-Pixel Efficacy Region Based Trivariate Linear Interpolation Function. IGI Global. https://doi.org/10.4018/978-1-60566-202-2.ch011

Chicago

Carlo Ciulla. "The Results of the Sub-Pixel Efficacy Region Based Trivariate Linear Interpolation Function." In Improved Signal and Image Interpolation in Biomedical Applications: The Case of Magnetic Resonance Imaging (MRI). Hershey, PA: IGI Global, 2009. https://doi.org/10.4018/978-1-60566-202-2.ch011

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Abstract

This chapter presents results relevant to the evaluation of the performance of classic and SRE-based trivariate interpolation functions. The forthcoming text reports on the validation procedure employed to quantify the interpolation error of the two model functions along with the information on the resolution of the MRI database that was processed. The presentation of the results is both quantitative through the plots of the RSME Ratio and quantitative through the presentation of the spectral power evolutions of functional MRI data. As anticipated in Chapter I the spectral power evolutions were obtained processing the fMRI volume with the misplacement X = 0.49, Y = 0.49, Z = 0.49 employing the two interpolation paradigms (classic and SRE-based). Particularly, the RSME Ratio quantified the relativity of performance between the two types of trivariate linear interpolation functions while processing T1-weigthed, T2-weighted and functional MRI. The spectral power evolutions quantified for the functional MRI the differences in frequency spectral content between the two classes of interpolators. Interesting to note that the spectral power evolutions clearly show in this chapter their capability to reveal differences, between the images obtained through the two different interpolators, which otherwise would not be observed in the image space. Such differences are somehow hidden in the k-space (Fourier domain).

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