2014
DOI: 10.1088/0031-9155/59/4/961
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Global point signature for shape analysis of carpal bones

Abstract: We present a method based on spectral theory for the shape analysis of carpal bones of the human wrist. We represent the cortical surface of the carpal bone in a coordinate system based on the eigensystem of the two-dimensional Helmholtz equation. We employ a metric—global point signature (GPS)—that exploits the scale and isometric invariance of eigenfunctions to quantify overall bone shape. We use a fast finite-element-method to compute the GPS metric. We capitalize upon the properties of GPS representation—s… Show more

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Cited by 31 publications
(20 citation statements)
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“…This method provided a local metric for shape comparison in Euclidean space as opposed to a global metric [33] or a metric in a different space [29]. A comparison of RBM with these other techniques will be carried out in the future.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…This method provided a local metric for shape comparison in Euclidean space as opposed to a global metric [33] or a metric in a different space [29]. A comparison of RBM with these other techniques will be carried out in the future.…”
Section: Discussionmentioning
confidence: 99%
“…Further, these approaches were not tested for enabling quantitative comparisons based on carpal bone shape between populations. We proposed an approach for shape analysis of the individual carpal bones based on the global point signature (GPS) metric [33]. In this method an individual carpal bone shape was parameterized based on the eigen system of the Laplace-Beltrami operator.…”
Section: Introductionmentioning
confidence: 99%
“…Please see Table 2 for the measures by carpal bone for the healthy participants and Table 3 for the measures by carpal bone for the OA participants. In general, the proposed method provided smoother segmentations than the individual observers (Figure 9), which may be important for bone shape analysis [3, 19]. Please see Figure 10 which shows segmentation examples from the proposed method on a less noisy and noisy MRI scans.…”
Section: Resultsmentioning
confidence: 99%
“…Baseline Methods For each of the 3D shape benchmarks used for experimentation, we will report the comparison results of GraphBDM against various state-of-the-art methods, including shape-DNA [1], compact shape-DNA [11], GPS embedding [9], and F1-, F2-, and F3-features [37]. The latter features, which are defined in terms of the Laplacian matrix eigenvalues, were shown to have good inter-class discrimination capabilities in 2D shape recognition [11], but they can easily be extended to 3D shape analysis using the eigenvalues of the LBO.…”
Section: Resultsmentioning
confidence: 99%