Continuous medial representations for geometric object modeling in 2D and 3D

被引:47
作者
Yushkevich, P [1 ]
Fletcher, PT [1 ]
Joshi, S [1 ]
Thall, A [1 ]
Pizer, SM [1 ]
机构
[1] Univ N Carolina, Med Image Display & Anal Grp, Chapel Hill, NC 27514 USA
基金
美国国家卫生研究院;
关键词
medial representation; skeleton; shape modeling;
D O I
10.1016/S0262-8856(02)00135-X
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We describe a novel continuous medial representation for object geometry and a deformable templates method for fitting the representation to images. Our representation simultaneously describes the boundary and medial loci of geometrical objects, always maintaining Blum's symmetric axis transform (SAT) relationship. Cubic b-splines define the continuous medial locus and the associated thickness field, which in turn generate the object boundary. We present geometrical properties of the representation and derive a set of constraints on the b-spline parameters. The 2D representation encompasses branching medial loci; the 3D version can model objects with a single medial surface, and the extension to branching medial surfaces is a subject of ongoing research. We present preliminary results of segmenting 2D and 3D medical images. The representation is ultimately intended for use in statistical shape analysis. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:17 / 27
页数:11
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