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3D shape-dependent thinning method for trabecular bone characterization
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10.1118/1.3664005
/content/aapm/journal/medphys/39/1/10.1118/1.3664005
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/39/1/10.1118/1.3664005

Figures

Image of FIG. 1.
FIG. 1.

The six space directions.

Image of FIG. 2.
FIG. 2.

A trabecular bone sample (a), its surface skeleton (b), and its curve skeleton (c).

Image of FIG. 3.
FIG. 3.

Global chart of the hybrid skeletonization algorithm.

Image of FIG. 4.
FIG. 4.

The two computer-generated test vectors and results of the two shape classification algorithms. Plate elements are shown in light gray while the rod elements of the original volume are in dark gray.

Image of FIG. 5.
FIG. 5.

Results of the MESPTA thinning algorithm on the two hybrid shaped test vectors. Plates are well described while rod elements are not sufficiently eroded.

Image of FIG. 6.
FIG. 6.

Results of the Betti numbers curve thinning algorithm on the two hybrid shaped test vectors. Rods are well described while plates are not preserved.

Image of FIG. 7.
FIG. 7.

Results of the hybrid skeleton algorithm on the two hybrid shaped test vectors. The surface skeleton is in light gray while the curve skeleton is in dark gray.

Image of FIG. 8.
FIG. 8.

Two extracts from OA and OP samples to illustrate the micro architectural differences in the two trabecular bones. The solid phase (bone) is in black while the pore phase is in white.

Image of FIG. 9.
FIG. 9.

An extract of 2003 voxels of a trabecular OP bone sample (a), its surface (b), curve (c), and hybrid (d) skeletons.

Image of FIG. 10.
FIG. 10.

An extract of a trabecular bone sample (a), its corresponding hybrid skeleton (b), and classified volume (c). Plate trabeculae are shown in light gray while rod trabeculae are in dark gray.

Tables

Generic image for table
TABLE I.

The Percentage of incorrectly classified rod, plate, and overall voxels (PICrV, PICpV, and oPICV, respectively) as a measure for the shape classification efficiency of the MAC and SCA algorithms applied on test vectors 1 and 2.

Generic image for table
TABLE II.

Values of β0, β2, and N3, measured on both the original object and its hybrid skeleton for each of the two test vectors.

Generic image for table
TABLE III.

Results of the comparative study on different skeletonization methods using two sets of trabecular bone samples. Mean ± standard deviation and the Student |t| values for each feature estimated from the curve, surface and hybrid skeletons.

Generic image for table
TABLE IV.

Results of the comparative study on the two sets of trabecular bone samples. Mean ± standard deviation and the Student |t| values for each feature estimated from the SCA-based classified volumes.

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/content/aapm/journal/medphys/39/1/10.1118/1.3664005
2011-12-14
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: 3D shape-dependent thinning method for trabecular bone characterization
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/39/1/10.1118/1.3664005
10.1118/1.3664005
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