Euclidean distance matrix analysis

A coordinate‐free approach for comparing biological shapes using landmark data

Research output: Contribution to journalArticle

200 Citations (Scopus)

Abstract

For problems of classification and comparison in biological research, the primary focus is on the similarity of forms. A biological form can be conveniently defined as consisting of size and shape. Several approaches for comparing biological shapes using landmark data are available. Lele (1991a) critically discusses these approaches and proposes a new method based on the Euclidean distance matrix representation of the form of an object. The purpose of this paper is to extend this new methodology to the comparison of groups of objects. We develop the statistical versions of various concepts introduced by Lele (1991a) and use them for developing statistical procedures for testing the hypothesis of shape difference between biological forms. We illustrate the use of this method by studying morphological differences between normal children and those affected with Crouzon and Apert syndromes and craniofacial sexual dimorphism in Cebus apella.

Original languageEnglish (US)
Pages (from-to)415-427
Number of pages13
JournalAmerican Journal of Physical Anthropology
Volume86
Issue number3
DOIs
StatePublished - Jan 1 1991

Fingerprint

statistical method
Craniofacial Dysostosis
Acrocephalosyndactylia
Cebus
Sex Characteristics
methodology
Group
Research

All Science Journal Classification (ASJC) codes

  • Anatomy
  • Anthropology

Cite this

@article{55836e245a934f839ab93c6982eeae43,
title = "Euclidean distance matrix analysis: A coordinate‐free approach for comparing biological shapes using landmark data",
abstract = "For problems of classification and comparison in biological research, the primary focus is on the similarity of forms. A biological form can be conveniently defined as consisting of size and shape. Several approaches for comparing biological shapes using landmark data are available. Lele (1991a) critically discusses these approaches and proposes a new method based on the Euclidean distance matrix representation of the form of an object. The purpose of this paper is to extend this new methodology to the comparison of groups of objects. We develop the statistical versions of various concepts introduced by Lele (1991a) and use them for developing statistical procedures for testing the hypothesis of shape difference between biological forms. We illustrate the use of this method by studying morphological differences between normal children and those affected with Crouzon and Apert syndromes and craniofacial sexual dimorphism in Cebus apella.",
author = "Subhash Lele and Richtsmeier, {Joan Therese}",
year = "1991",
month = "1",
day = "1",
doi = "10.1002/ajpa.1330860307",
language = "English (US)",
volume = "86",
pages = "415--427",
journal = "American Journal of Physical Anthropology",
issn = "0002-9483",
publisher = "Wiley-Liss Inc.",
number = "3",

}

TY - JOUR

T1 - Euclidean distance matrix analysis

T2 - A coordinate‐free approach for comparing biological shapes using landmark data

AU - Lele, Subhash

AU - Richtsmeier, Joan Therese

PY - 1991/1/1

Y1 - 1991/1/1

N2 - For problems of classification and comparison in biological research, the primary focus is on the similarity of forms. A biological form can be conveniently defined as consisting of size and shape. Several approaches for comparing biological shapes using landmark data are available. Lele (1991a) critically discusses these approaches and proposes a new method based on the Euclidean distance matrix representation of the form of an object. The purpose of this paper is to extend this new methodology to the comparison of groups of objects. We develop the statistical versions of various concepts introduced by Lele (1991a) and use them for developing statistical procedures for testing the hypothesis of shape difference between biological forms. We illustrate the use of this method by studying morphological differences between normal children and those affected with Crouzon and Apert syndromes and craniofacial sexual dimorphism in Cebus apella.

AB - For problems of classification and comparison in biological research, the primary focus is on the similarity of forms. A biological form can be conveniently defined as consisting of size and shape. Several approaches for comparing biological shapes using landmark data are available. Lele (1991a) critically discusses these approaches and proposes a new method based on the Euclidean distance matrix representation of the form of an object. The purpose of this paper is to extend this new methodology to the comparison of groups of objects. We develop the statistical versions of various concepts introduced by Lele (1991a) and use them for developing statistical procedures for testing the hypothesis of shape difference between biological forms. We illustrate the use of this method by studying morphological differences between normal children and those affected with Crouzon and Apert syndromes and craniofacial sexual dimorphism in Cebus apella.

UR - http://www.scopus.com/inward/record.url?scp=0026050115&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026050115&partnerID=8YFLogxK

U2 - 10.1002/ajpa.1330860307

DO - 10.1002/ajpa.1330860307

M3 - Article

VL - 86

SP - 415

EP - 427

JO - American Journal of Physical Anthropology

JF - American Journal of Physical Anthropology

SN - 0002-9483

IS - 3

ER -