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Three‐dimensional analysis of the geometry of individual multiple sclerosis lesions: Detection of shape changes over time using spherical harmonics by Daniel Goldberg‐Zimring; Anat Achiron; Charles R.G. Guttmann; Haim Azhari is a Medicine article available to read on EtoBox.

What is Three‐dimensional analysis of the geometry of individual multiple sclerosis lesions: Detection of shape changes over time using spherical harmonics about?

## Abstract ## Purpose To suggest a quantitative method for assessing the temporal changes in the geometry of individual multiple sclerosis (MS) lesions in follow‐up studies of MS patients. ## Materials and Methods Computer simulated and in vivo magnetic resonance (MR) imaged MS lesions were studied. Ten in vivo MS lesions were identified from sets of axial MR images acquired from a patient scanned consecutively for 24 times during a one‐year period. Each of the lesions was segmented and its three‐dimensional surface approximated using spherical harmonics (SH). From the obtained SH polynomial coefficients, indices of shape were defined, and analysis of the temporal changes in each lesion's geometry throughout the year was performed by determining the mean discrete total variation of the shape indices. ## Results The results demonstrate that most of the studied lesions undergo notable geometrical changes with time. These changes are not necessarily associated with similar changes in size/volume. Furthermore, it was found that indices corresponding to changes in lesion shape could be 1.4 to 8.0 times higher than those corresponding to changes in the lesion size/volume. ## Conclusion

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Author

Daniel Goldberg‐Zimring; Anat Achiron; Charles R.G. Guttmann; Haim Azhari

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 1053-1807)

Published

2003

Language

EN

Field

Medicine (Health Sciences)