1987
DOI: 10.1002/ajpa.1330740408
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Describing a craniofacial anomaly: Finite elements and the biometrics of landmark locations

Abstract: An intergroup comparison of cephalometric landmark configurations by the finite-element method elegantly depicts the algebra of some of the size and shape change measures that one may define by reference to those landmarks. In studies of mean differences between groups, the statistical analysis of these finite elements is equivalent to competent statistical analysis of the same data using any other geometric metaphor, such as properly standardized vector descriptions of landmark "movement" or scalar measures, … Show more

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Cited by 64 publications
(31 citation statements)
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“…Preliminary results suggest that the number of landmarks can be substantially reduced without sacrificing much in terms of performance. Reductions in user effort could also be realized through automating landmark placement, although automatically defining unequivocal landmarks in biological objects is not trivial and often difficult to generalize (Berkley et al, 2000;Bookstein, 1987;Bowden et al, 1998b;Lapeer and Prager, 2000;Lazarus and Verroust, 1998;Richtsmeier et al, 2002;Yoshizawa et al, 2004). We found identifying landmarks visually simple, and therefore minimizing the number of landmarks was not one of our objectives.…”
Section: Discussionmentioning
confidence: 91%
See 1 more Smart Citation
“…Preliminary results suggest that the number of landmarks can be substantially reduced without sacrificing much in terms of performance. Reductions in user effort could also be realized through automating landmark placement, although automatically defining unequivocal landmarks in biological objects is not trivial and often difficult to generalize (Berkley et al, 2000;Bookstein, 1987;Bowden et al, 1998b;Lapeer and Prager, 2000;Lazarus and Verroust, 1998;Richtsmeier et al, 2002;Yoshizawa et al, 2004). We found identifying landmarks visually simple, and therefore minimizing the number of landmarks was not one of our objectives.…”
Section: Discussionmentioning
confidence: 91%
“…Thin-plate splines were used which produce a nice smooth transformation and allow precise transformation of point A to A 0 . We used the classical Bookstein thin-plate splines transformation as implemented in Amira (Bookstein, 1987;Zelditch et al, 2004).…”
Section: Manual Landmarks (Ml)mentioning
confidence: 99%
“…However, this technique has been superceded by newer approaches. One of these, finite element scaling analysis (FESA) [20], has been used widely, despite statistical objections to this usage [21). FESA is the inverse of a form of analysis widely used in engineering to study strain in materials under loads.…”
mentioning
confidence: 99%
“…7 This method requires the definition of corresponding landmarks for the initial (before deforming) and final (after deforming) shapes (Fig. 2).…”
Section: Process Sizementioning
confidence: 99%