Smooth operator: The effects of different 3D mesh retriangulation protocols on the computation of Dirichlet normal energy.
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Dirichlet normal energy (DNE) is a metric of surface topography that has been used to evaluate the relationship between the surface complexity of primate cheek teeth and dietary categories. This study examines the effects of different 3D mesh retriangulation protocols on DNE. We examine how different protocols influence the DNE of a simple geometric shape-a hemisphere-to gain a more thorough understanding than can be achieved by investigating a complex biological surface such as a tooth crown.We calculate DNE on 3D surface meshes of hemispheres and on primate molars subjected to various retriangulation protocols, including smoothing algorithms, smoothing amounts, target face counts, and criteria for boundary face exclusion. Software used includes R, MorphoTester, Avizo, and MeshLab. DNE was calculated using the R package "molaR."In all cases, smoothing as performed in Avizo sharply decreases DNE initially, after which DNE becomes stable. Using a broader boundary exclusion criterion or performing additional smoothing (using "mesh fairing" methods) further decreases DNE. Increasing the mesh face count also results in increased DNE on tooth surfaces.Different retriangulation protocols yield different DNE values for the same surfaces, and should not be combined in meta-analyses. Increasing face count will capture surface microfeatures, but at the expense of computational speed. More aggressive smoothing is more likely to alter the essential geometry of the surface. A protocol is proposed that limits potential artifacts created during surface production while preserving pertinent features on the occlusal surface.
Published Version (Please cite this version)10.1002/ajpa.23188
Publication InfoKay, Richard; Morse, Paul; Spradley, Jackson P; & Pampush, James D (2017). Smooth operator: The effects of different 3D mesh retriangulation protocols on the computation of Dirichlet normal energy. American journal of physical anthropology, 163(1). pp. 94-109. 10.1002/ajpa.23188. Retrieved from https://hdl.handle.net/10161/17650.
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Professor of Evolutionary Anthropology
I have two areas of research:1) the evolution of primates in South America; and 2) the use of primate anatomy to reconstruct the phylogenetic history and adapations of living and extinct primates, especially Anthropoidea. 1) Evolution of primates and mammalian faunal evolution, especially in South America. For the past 30 years, I have been engaged in research in Argentina, Bolivia The Dominican Republic, Peru, and Colombia with three objectives:a) to reconstruct the evol
Dietary ecology of extant and extinct primates, particularly at the time of major phylogenetic divisions (e.g., strepsirrhines & haplorhines, hominoids & cercopithecoids).
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