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Math @ Duke
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Publications [#383985] of Ingrid Daubechies
Papers Published
- Gao, T; Kovalsky, SZ; Boyer, DM; Daubechies, I, Gaussian Process Landmarking for Three-Dimensional Geometric Morphometrics,
SIAM Journal on Mathematics of Data Science, vol. 1 no. 1
(January, 2019),
pp. 237-267 [doi]
(last updated on 2026/02/07)
Abstract: We demonstrate applications of the Gaussian process-based landmarking algorithm proposed in [T. Gao, S. Z. Kovalsky, and I. Daubechies, SIAM J. Math. Data Sci., 1 (2019), pp. 208–236] to geometric morphometrics, a branch of evolutionary biology centered at the analysis and comparisons of anatomical shapes, and compare the automatically sampled landmarks with the “ground truth” landmarks manually placed by evolutionary anthropologists; the results suggest that Gaussian process landmarks perform equally well or better, in terms of both spatial coverage and downstream statistical analysis. We provide a detailed exposition of numerical procedures and feature filtering algorithms for computing high-quality and semantically meaningful diffeomorphisms between disk-type anatomical surfaces.
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