A Survey of Three-Dimensional Modeling Techniques for Quantitative Functional Analysis of Cardiac Images - Advance Image Processing in Magnetic Resonance Imaging - page 319

Detection of tag lines is simplified in the preprocessed images, and a simple
local search can then be used to track local intensity minima (tag lines) over
time. Kerwin and Prince [250] have developed a method to simultaneously
detect and track tag surfaces without the need for prior 2-D tag tracking. Tag
surfaces are modeled using a kriging update model [282,283]. This model
parameterizes tag surfaces and a global quadratic surface plus a local stochastic
displacement. A recursive spatiotemporal scheme is developed that updates the
kriging model. Measurements to update the model are obtained through a local
search for tag lines. In this search a matched filter is employed, modeling the
intensity profile across a tag line. Osman et al. [284,285] have introduced and
evaluated a method for cardiac-motion tracking based on the concept of har-
monic phase (HARP). The method uses isolated spectral peaks in the Fourier
domain of MR tagged images as a cue for tag tracking. The inverse Fourier
transform of a spectral peak is a complex image whose computed angle is called
harmonic phase image. Osman et al. [286,284] show how this angle can be
treated as a material property that can be related to myocardial strain. This
technique has the advantage that it is fast, fully automatic, and provides dense
material properties. So far the method has been applied to 2-D images and,
thus, only provides information about “apparent motion.” Osman and Prince
[287] present several visualization techniques that can be used to display the
information provided by HARP images.

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