BIOMARKERS FOR HARDI: 2ND & 4TH ORDER TENSOR INVARIANTS

被引：0
|
作者：
Ghosh, Aurobrata [1 ]
Papadopoulo, Theo [1 ]
Deriche, Rachid [1 ]
机构：
[1] INRIA, Project Team Athena, Sophia Antipolis Mediter, France
来源：
2012 9TH IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING (ISBI) | 2012年
关键词：
HARDI; biomarkers; tensors; integrity basis; basic & principal tensor invariants; DIFFUSION; MRI;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, we explore the theory of tensor invariants as a mathematical framework for computing new biomarkers for HARDI. We present and explain the integrity basis, basic invariants and principal invariants of 2nd & 4th order tensors to expand on a recently proposed paper on 4th order tensor invariants. We present the mathematical results and compute the basic and principal invariants on a controlled synthetic dataset and an in vivo human dataset. We show how the integrity bases of these two sets of invariants can form a promising framework for developing new biomarkers for HARDI.
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页码：26 / 29
页数：4
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