Statistical shape analysis of Multi-Object complexes

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Publication Type journal article
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Creator Gerig, Guido
Other Author Gorczowski, Kevin; Styner, Martin; Jeong, Ja-Yeon; Marron, J. S.; Piven, Joseph; Hazlett, Heather Cody; Pizer, Stephen M.
Title Statistical shape analysis of Multi-Object complexes
Date 2007-01-01
Description An important goal of statistical shape analysis is the discrimination between populations of objects, exploring group differences in morphology not explained by standard volumetric analysis. Certain applications additionally require analysis of objects in their embedding context by joint statistical analysis of sets of interrelated objects. In this paper, we present a framework for discriminant analysis of populations of 3-D multi-object sets. In view of the driving medical applications, a skeletal object parametrization of shape is chosen since it naturally encodes thickening, bending and twisting. In a multi-object setting, we not only consider a joint analysis of sets of shapes but also must take into account differences in pose. Statistics on features of medial descriptions and pose parameters, which include rotational frames and distances, uses a Riemannian symmetric space instead of the standard Euclidean metric. Our choice of discriminant method is the distance weighted discriminant (DWD) because of its generalization ability in high dimensional, low sample size settings. Joint analysis of 10 sub-cortical brain structures in a pediatric autism study demonstrates that multi-object analysis of shape results in a better group discrimination than pose, and that the combination of pose and shape performs better than shape alone. Finally, given a discriminating axis of shape and pose, we can visualize the differences between the populations.
Type Text
Publisher Institute of Electrical and Electronics Engineers (IEEE)
First Page 1
Last Page 8
Language eng
Bibliographic Citation Gorczowski, K., Styner, M., Jeong, J. Y., Marron, J. S., Piven, J., Hazlett, H. C., Pizer, S. M., & Gerig, G. (2007). Statistical shape analysis of Multi-Object complexes. Proceedings of the 2007 IEEE Conference on Computer Vision and Pattern Recognition, 1-8.
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Identifier uspace,19258
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Date Created 2015-02-09
Date Modified 2021-05-06
ID 712806
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