Improved signal and image interpolation in biomedical applications :
Ciulla, Carlo, 1964-
Improved signal and image interpolation in biomedical applications : the case of magnetic resonance imaging (MRI) / Carlo Ciulla. - Hershey, PA : Medical Information Science Reference, c2009. - xxvi, 614 p. : il. ; 29 cm.
Incluy referencias bibliográficas e índice.
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 -- 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.
"This book presents novel concepts supported through mathematics to create unique theories related to interpolation"--Provided by publisher.
9781605662022 (pasta dura)
Magnetic resonance imaging--Digital techniques.
Magnetic resonance imaging--Mathematical models.
Interpolation.
Resonancia magnética en imágenes--Técnicas digitales.
Resonancia magnética en imágenes--Modelos matemáticos.
Interpolación (Matemáticas).
RC78.7.N83 / C58 2009
Improved signal and image interpolation in biomedical applications : the case of magnetic resonance imaging (MRI) / Carlo Ciulla. - Hershey, PA : Medical Information Science Reference, c2009. - xxvi, 614 p. : il. ; 29 cm.
Incluy referencias bibliográficas e índice.
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 -- 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.
"This book presents novel concepts supported through mathematics to create unique theories related to interpolation"--Provided by publisher.
9781605662022 (pasta dura)
Magnetic resonance imaging--Digital techniques.
Magnetic resonance imaging--Mathematical models.
Interpolation.
Resonancia magnética en imágenes--Técnicas digitales.
Resonancia magnética en imágenes--Modelos matemáticos.
Interpolación (Matemáticas).
RC78.7.N83 / C58 2009
