Functional Data Analysis and Visualisation of Three-Dimensional Surface Shape

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F21%3A00542813" target="_blank" >RIV/67985807:_____/21:00542813 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216224:14310/21:00121551

Výsledek na webu

<a href="http://dx.doi.org/10.1111/rssc.12482" target="_blank" >http://dx.doi.org/10.1111/rssc.12482</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1111/rssc.12482" target="_blank" >10.1111/rssc.12482</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Functional Data Analysis and Visualisation of Three-Dimensional Surface Shape

Popis výsledku v původním jazyce

The advent of high-resolution imaging has made data on surface shape widespread. Methods for the analysis of shape based on landmarks are well established but high-resolution data require a functional approach. The starting point is a systematic and consistent description of each surface shape and a method for creating this is described. Three innovative forms of analysis are then introduced. The first uses surface integration to address issues of registration, principal component analysis and the measurement of asymmetry, all in functional form. Computational issues are handled through discrete approximations to integrals, based in this case on appropriate surface area weighted sums. The second innovation is to focus on sub-spaces where interesting behaviour such as group differences are exhibited, rather than on individual principal components. The third innovation concerns the comparison of individual shapes with a relevant control set, where the concept of a normal range is extended to the highly multivariate setting of surface shape. This has particularly strong applications to medical contexts where the assessment of individual patients is very important. All of these ideas are developed and illustrated in the important context of human facial shape, with a strong emphasis on the effective visual communication of effects of interest.

Název v anglickém jazyce

Functional Data Analysis and Visualisation of Three-Dimensional Surface Shape

Popis výsledku anglicky

The advent of high-resolution imaging has made data on surface shape widespread. Methods for the analysis of shape based on landmarks are well established but high-resolution data require a functional approach. The starting point is a systematic and consistent description of each surface shape and a method for creating this is described. Three innovative forms of analysis are then introduced. The first uses surface integration to address issues of registration, principal component analysis and the measurement of asymmetry, all in functional form. Computational issues are handled through discrete approximations to integrals, based in this case on appropriate surface area weighted sums. The second innovation is to focus on sub-spaces where interesting behaviour such as group differences are exhibited, rather than on individual principal components. The third innovation concerns the comparison of individual shapes with a relevant control set, where the concept of a normal range is extended to the highly multivariate setting of surface shape. This has particularly strong applications to medical contexts where the assessment of individual patients is very important. All of these ideas are developed and illustrated in the important context of human facial shape, with a strong emphasis on the effective visual communication of effects of interest.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of the Royal Statistical Society Series C-Applied Statistics

ISSN

0035-9254

e-ISSN

1467-9876

Svazek periodika

70

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

23

Strana od-do

691-713

Kód UT WoS článku

000647418500001

EID výsledku v databázi Scopus

2-s2.0-85105171470