Abstract：
:The continuous medial representation (cm-rep) is an approach that makes it possible to model, normalize, and analyze anatomical structures on the basis of medial geometry. Having recently presented a partial differential equation (PDE)-based approach for 3-D cm-rep modeling [1], here we present an equivalent 2-D approach that involves solving an ordinary differential equation. This paper derives a closed form solution of this equation and shows how Pythagorean hodograph curves can be used to express the solution as a piecewise polynomial function, allowing efficient and robust medial modeling. The utility of the approach in medical image analysis is demonstrated by applying it to the problem of shape-based normalization of the midsagittal section of the corpus callosum. Using diffusion tensor tractography, we show that shape-based normalization aligns subregions of the corpus callosum, defined by connectivity, more accurately than normalization based on volumetric registration. Furthermore, shape-based normalization helps increase the statistical power of group analysis in an experiment where features derived from diffusion tensor tractography are compared between two cohorts. These results suggest that cm-rep is an appropriate tool for normalizing the corpus callosum in white matter studies.
journal_name
IEEE Trans Med Imagingjournal_title
IEEE transactions on medical imagingauthors
Sun H,Yushkevich PA,Zhang H,Cook PA,Duda JT,Simon TJ,Gee JCdoi
10.1109/TMI.2007.900322subject
Has Abstractpub_date
2007-09-01 00:00:00pages
1166-78issue
9eissn
0278-0062issn
1558-254Xjournal_volume
26pub_type
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