Measuring biological shape using geometry-based shape transformations

C. Davatzikos

doi:10.1016/S0262-8856(00)00056-1

Measuring biological shape using geometry-based shape transformations

C. Davatzikos

School of Medicine

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents a methodology for shape analysis of anatomical structures. A template shape is used as a unit, and a shape transformation mapping the template to a particular structure is used to quantify the shape of the structure with respect to the template. The geometric characteristics of the boundaries of the template and the individual structure are used to define point correspondences between the template and the structure. These correspondences are then used to determine the shape transformation, which is based on an elastic adaptation of the template. Regional inter-subject and inter-population shape differences are then identified by comparing the corresponding shape transformations point-wise. Validation using simulation experiments is also presented.

Original language	English (US)
Pages (from-to)	63-74
Number of pages	12
Journal	Image and Vision Computing
Volume	19
Issue number	1-2
DOIs	https://doi.org/10.1016/S0262-8856(00)00056-1
State	Published - Jan 2001

ASJC Scopus subject areas

Signal Processing
Computer Vision and Pattern Recognition

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10.1016/S0262-8856(00)00056-1

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title = "Measuring biological shape using geometry-based shape transformations",

abstract = "This paper presents a methodology for shape analysis of anatomical structures. A template shape is used as a unit, and a shape transformation mapping the template to a particular structure is used to quantify the shape of the structure with respect to the template. The geometric characteristics of the boundaries of the template and the individual structure are used to define point correspondences between the template and the structure. These correspondences are then used to determine the shape transformation, which is based on an elastic adaptation of the template. Regional inter-subject and inter-population shape differences are then identified by comparing the corresponding shape transformations point-wise. Validation using simulation experiments is also presented.",

author = "C. Davatzikos",

note = "Funding Information: This work was supported in part by a Whitaker Foundation Research Grant, by the NIH grant 1R01-AG14971, by the NIH contract NIH-AG-93-07, and by the NIH grant 1R01AG13743-01 under the Human Brain Project. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",

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AB - This paper presents a methodology for shape analysis of anatomical structures. A template shape is used as a unit, and a shape transformation mapping the template to a particular structure is used to quantify the shape of the structure with respect to the template. The geometric characteristics of the boundaries of the template and the individual structure are used to define point correspondences between the template and the structure. These correspondences are then used to determine the shape transformation, which is based on an elastic adaptation of the template. Regional inter-subject and inter-population shape differences are then identified by comparing the corresponding shape transformations point-wise. Validation using simulation experiments is also presented.

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Measuring biological shape using geometry-based shape transformations

Abstract

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