© 2013

Permutation Tests in Shape Analysis


Part of the SpringerBriefs in Statistics book series (BRIEFSSTATIST, volume 15)

Table of contents

About this book


Statistical shape analysis is a geometrical analysis from a set of shapes in which statistics are measured to describe geometrical properties from similar shapes or different groups, for instance, the difference between male and female Gorilla skull shapes, normal and pathological bone shapes, etc. Some of the important aspects of shape analysis are to obtain a measure of distance between shapes, to estimate average shapes from a (possibly random) sample and to estimate shape variability in a sample[1]. One of the main methods used is principal component analysis. Specific applications of shape analysis may be found in archaeology, architecture, biology, geography, geology, agriculture, genetics, medical imaging, security applications such as face recognition, entertainment industry (movies, games), computer-aided design and manufacturing. This is a proposal for a new Brief on statistical shape analysis and the various new parametric and non-parametric methods utilized to facilitate shape analysis. ​ ​


non-parametric statistics permutation tests shape analysis

Authors and affiliations

  1. 1.Department of Management and EngineeringUniversity of Padova,Vicenza, ItalyItaly
  2. 2.University of San Raffaele CUSSB, Vita-SaluteMilanItaly

About the authors

Luigi Salmaso,Ph.D. Professor of Statistics Department of Management and Engineering University of Padova Padova, Italy Chiara Brombin, Ph.D. CUSSB, Vita-Salute University of San Raffaele Milan, Italy

Bibliographic information

Industry Sectors
Finance, Business & Banking


From the reviews:

“This book puts forward an extension of nonparametric combination methodology for the field of shape analysis. … Novices are gently introduced into statistical shape analysis and geometric morphometrics, researchers are presented a new approach to the field and practitioners are demonstrated the usefulness of the technique on an application to facial expressions of emotions and another concerning aortic valve morphology.” (Ruxandra Stoean, zbMATH, Vol. 1281, 2014)