Smooth operator: The effects of different 3D mesh retriangulation protocols on the computation of Dirichlet normal energy.
Smooth operator: The effects of different 3D mesh retriangulation protocols on the computation of Dirichlet normal energy.
复制标题
平滑算子：不同 3D 网格重三角协议对 Dirichlet 法向能量计算的影响。
DOI：
10.1002/ajpa.23188
复制
发表时间：
2017
影响因子：
2.8
通讯作者：
R. F. Kay
中科院分区：
文献类型：
--
作者：
Jackson P Spradley;James D. Pampush;P. Morse;R. F. Kay
目标
狄利克雷正常能量 (DNE) 是一种表面形貌度量，已用于评估灵长类动物颊齿表面复杂性与饮食类别之间的关系。本研究探讨了不同 3D 网格重三角协议对 DNE 的影响。我们研究不同的协议如何影响简单几何形状（半球）的 DNE，以获得比研究牙冠等复杂生物表面更彻底的理解。
材料和方法
我们在半球的 3D 表面网格和灵长类动物臼齿上计算 DNE，这些数据受到各种重新三角测量协议的影响，包括平滑算法、平滑量、目标面计数和边界面排除标准。使用的软件包括 R、MorphoTester、Avizo 和 MeshLab。 DNE 使用 R 软件包“molaR”计算。
结果
在所有情况下，Avizo 中执行的平滑最初会急剧降低 DNE，之后 DNE 变得稳定。使用更广泛的边界排除标准或执行额外的平滑（使用“网格整流”方法）进一步降低 DNE。增加网格面数也会导致齿表面的 DNE 增加。
结论
不同的重新三角测量协议对相同表面产生不同的 DNE 值，并且不应在荟萃分析中组合。增加面数将捕获表面微观特征，但会牺牲计算速度。更积极的平滑更有可能改变表面的基本几何形状。提出了一种协议，可以限制表面生产过程中产生的潜在伪影，同时保留咬合表面上的相关特征。
OBJECTIVES
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.
MATERIALS AND METHODS
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."
RESULTS
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.
CONCLUSIONS
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.