Translator Disclaimer
1 April 2009 Modeling Three-Dimensional Morphological Structures Using Spherical Harmonics
Author Affiliations +
Abstract

Quantifying morphological shape is a fundamental issue in evolutionary biology. Recent technological advances (e.g., confocal microscopy, laser scanning, computer tomography) have made the capture of detailed three-dimensional (3D) morphological structure easy and cost-effective. In this article, we develop a 3D analytic framework (SPHARM—spherical harmonics) for modeling the shapes of complex morphological structures from continuous surface maps that can be produced by these technologies. Because the traditional SPHARM methodology has limitations in several of its processing steps, we present new algorithms for two SPHARM processing steps: spherical parameterization and SPHARM registration. These new algorithms allow for the numerical characterization of a much larger class of 3D models. We demonstrate the effectiveness of the method by applying it to modeling the cerci of Enallagma damselflies.

© 2009 The Society for the Study of Evolution
Li Shen, Hany Farid, and Mark A. McPeek "Modeling Three-Dimensional Morphological Structures Using Spherical Harmonics," Evolution 63(4), 1003-1016, (1 April 2009). https://doi.org/10.1111/j.1558-5646.2008.00557.x
Received: 18 June 2008; Accepted: 1 October 2008; Published: 1 April 2009
JOURNAL ARTICLE
14 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
ARTICLE IMPACT
RIGHTS & PERMISSIONS
Get copyright permission
Back to Top