Improved signal and image interpolation in biomedical applications the case of magnetic resonance imaging (MRI) /

• Main Author: Ciulla, Carlo, 1964-
• Corporate Author: IGI Global.
• Format: Electronic
• Language: English
• Published: Hershey, Pa. : IGI Global (701 E. Chocolate Avenue, Hershey, Pennsylvania, 17033, USA), c2009.
• Subjects: Magnetic resonance imaging > Digital techniques.; Magnetic resonance imaging > Mathematical models.; Interpolation.; Magnetic Resonance Imaging > methods.; Algorithms.; Image Enhancement > methods.; Biomedical applications; Bivariate linear interpolation function; B-splines; Interpolation error; Lagrange interpolation function; Linear interpolation function; Magnetic resonance imaging; Neighboring pixel intensity values; Signal and image interpolation; Sinc interpolation; Sub-pixel efficacy region; Trivariate linear interpolation; True pixel value
• Online Access: View fulltext via EzAccess

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. This book presents a novel approach for the improvement of the appr...

Table of Contents:

• Magnetic resonance imaging and the signal-image processing techniques developed under the umbrella of the unifying theory
• The intuition
• The conception of the intensity-curvature functional
• The conception of the sub-pixel efficacy region
• Assessment of the truth foreseen in the intuition
• The notion
• The theoretical approach to the improvement of the interpolation error: bivariate linear interpolation function
• The results of the sub-pixel efficacy region based bivariate linear interpolation function
• Interpolation procedures
• The extension of the theory to the trivariate linear interpolation function
• The results of the sub-pixel efficacy region based trivariate linear interpolation function
• Equating the two intensity-curature terms, before and after interpoliation, attempting to obtain resilient interpoliaiton: trivariate linear interpolation function
• On the literature of B-spline interpolation functions
• The extension of theory and methodology to B-splines
• The results of the sub-pixel efficacy region based B-spline interpolation functions
• On the properties of the unifying theory and the derived sub-pixel efficacy region
• The main innovation determined by the sub-pixel efficacy region
• The unifying theory embraces lagrange and sinc interpolation functions
• The results of the sub-pixel efficacy region based lagrange and sinc interpolation functions
• On the implications of the sub-pixel efficacy region and the bridging concept of the unifying theory.