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

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

Carlo Ciulla
Copyright: © 2009 |Pages: 99
ISBN13: 9781605662022|ISBN10: 160566202X|ISBN13 Softcover: 9781616925314|EISBN13: 9781605662039
DOI: 10.4018/978-1-60566-202-2.ch008
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MLA

Carlo Ciulla. "The Results of the Sub-Pixel Efficacy Region Based Bivariate Linear Interpolation Function." Improved Signal and Image Interpolation in Biomedical Applications: The Case of Magnetic Resonance Imaging (MRI), IGI Global, 2009, pp.72-170. https://doi.org/10.4018/978-1-60566-202-2.ch008

APA

C. Ciulla (2009). The Results of the Sub-Pixel Efficacy Region Based Bivariate Linear Interpolation Function. IGI Global. https://doi.org/10.4018/978-1-60566-202-2.ch008

Chicago

Carlo Ciulla. "The Results of the Sub-Pixel Efficacy Region Based Bivariate 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.ch008

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Abstract

This is the first of the chapters of the book that present results obtained processing the MRI database with both classic and SRE-based interpolation paradigms. The focus of this chapter is on the bivariate linear interpolation function. An overview on the validation paradigm is given along with an explanation of the simulations that were conducted in order to validate the SRE-based bivariate liner interpolation function. Subsequently, results with real MRI are shown quantitatively through plots of the metric called RMSE Ratio which was employed to assess which one between classic and SRE-based interpolation furnishes lower root-mean-square-error (RMSE). Qualitative demonstration of the results with MRI is also given. The chapter also discusses and evaluates the case of interpolation error improvement when the novel re-sampling location within the pixel is placed on the x axis of the coordinate system (i.e. yr0 = 0) and consistently, both quantitative and qualitative results are presented through plots of the RSME Ratio and figures respectively.

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