Combined Inverse Fourier Transformation of Magnetic Resonance and
Intensity-Curvature Functional Images
Abstract
This research reports on an image processing technique used to merge
Magnetic Resonance Imaging (MRI) or Magnetic Resonance Angiography (MRA)
with their intensity-curvature functional (ICF). Given a two-dimensional
MR image, six 2D model polynomial functions were fitted to the image,
and six ICF images were calculated. The MR image and its ICF were direct
Fourier transformed. The phase of MR image was estimated pixel-by-pixel
as arctangent of ratio between imaginary and real components of k-space
and is called phase ratio. The phase of ICF is the phase of inverse
Fourier transformation and is called base phase. The two values of phase
were summed up and used to reconstruct ICF images through inverse
Fourier transformation. The reconstructed image is the combination of MR
and ICF. Data obtained with T2-MRI and MRA indicates that the technique
improves vessel detection in T2-MRI and contrast enhances T2-MRI and
MRA.