Improved Signal and Image Interpolation in Biomedical Applications: The Case of Magnetic Resonance Imaging (MRI): The Case of Magnetic Resonance Imaging (MRI)Advances have been made in improved signal and image interpolation that derive a unified framework, thus achieving improvement of the approximation properties of the interpolation function regardless of its dimensionality or degree. Improved Signal and Image Interpolation in Biomedical Applications: The Case of Magnetic Resonance Imaging (MRI) presents a novel approach for the improvement of the approximation characteristics of interpolation functions. A unique and original resource, this book approaches both the theory and methodology absent from most publications of its kind, a valuable inclusion for those interested in exploring the innovative approach that this reference proposes. |
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Contents
1 | |
The Intuition | 23 |
The Conception of the IntensityCurvature Functional | 31 |
The Conception of the SubPixel Efficacy Region | 40 |
Assessment of the Truth Foreseen in the Intuition | 48 |
The Notion | 52 |
Bivariate Linear Interpolation Function | 58 |
The Results of the SubPixel Efficacy Region Based Bivariate Linear Interpolation Function | 72 |
On the Literature of BSpline Interpolation Functions | 214 |
The Extension of Theory and Methodology to BSplines | 223 |
The Results of the SubPixel Efficacy RegionBased BSpline Interpolation Functions | 239 |
On the Properties of the Unifying Theory and the Derived SubPixel Efficacy Region | 338 |
The Main Innovation Determined By the SubPixel Efficacy Region | 348 |
The Unifying Theory Embraces Lagrange and Sinc Interpolation Functions | 353 |
The Results of the SubPixel Efficacy RegionBased Lagrance and Sinc Interpolation Functions | 371 |
On the Implications of the SubPixel Efficacy Region and the Bridging Concept of the Unifying Theory | 471 |
Other editions - View all
Improved Signal and Image Interpolation in Biomedical Applications: The Case ... Carlo Ciulla No preview available - 2009 |
Common terms and phrases
approximation properties average abs(O_E axis Figure behavior bivariate linear interpolation Chapter classic and SRE-based classic interpolation constant cubic B-Spline curvature equation FFT maps functional MRI fMRI-snffM00587 functional MRI fMRI-TS1 graph highest percentage improvement Hxyz IEEE Transactions IGI Global Image Processing images were processed improvement is approximately improvement ranges approximately intensity values Intensity-Curvature Functional intensity-curvature term interpolation error improvement interpolation paradigms Lagrange interpolation linear interpolation function Magnetic Resonance Imaging minus abs(O_E misplacement along x model interpolation function motion correction node NOSRE_E novel re-sampling locations obtained OpenAccess original image percentage improvement ranges percentage in interpolation pixel pixel intensity polynomial interpolation processed with classic quartic equation range of misplacements relevant resolution RMSE Ratio sampling second order derivative signal image signal processing Sinc function Sinc interpolation function slices software ImageJ spectral power evolutions SRE_E SRE-based interpolation functions steps Sub-pixel Efficacy Region tion trivariate unifying theory voxel xsre