A hierarchical curve-based approach to the analysis of manifold data
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00111523" target="_blank" >RIV/00216224:14310/19:00111523 - isvavai.cz</a>
Result on the web
<a href="https://projecteuclid.org/euclid.aoas/1574910054" target="_blank" >https://projecteuclid.org/euclid.aoas/1574910054</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1214/19-AOAS1267" target="_blank" >10.1214/19-AOAS1267</a>
Alternative languages
Result language
angličtina
Original language name
A hierarchical curve-based approach to the analysis of manifold data
Original language description
One of the data structures generated by medical imaging technology is high resolution point clouds representing anatomical surfaces. Stereophotogrammetry and laser scanning are two widely available sources of this kind of data. A standardised surface representation is required to provide a meaningful correspondence across different images as a basis for statistical analysis. Point locations with anatomical definitions, referred to as landmarks, have been the traditional approach. Landmarks can also be taken as the starting point for more general surface representations, often using templates which are warped on to an observed surface by matching landmark positions and subsequent local adjustment of the surface. The aim of the present paper is to provide a new approach which places anatomical curves at the heart of the surface representation and its analysis. Curves provide intermediate structures which capture the principal features of the manifold (surface) of interest through its ridges and valleys. As landmarks are often available these are used as anchoring points, but surface curvature information is the principal guide in estimating the curve locations. The surface patches between these curves are relatively flat and can be represented in a standardised manner by appropriate surface transects to give a complete surface model. This new approach does not require the use of a template, reference sample or any external information to guide the method and, when compared with a surface based approach, the estimation of curves is shown to have improved performance. In addition, examples involving applications to mussel shells and human faces show that the analysis of curve information can deliver more targeted and effective insight than the use of full surface information.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
The Annals of Applied Statistics
ISSN
1932-6157
e-ISSN
1941-7330
Volume of the periodical
13
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
2539-2563
UT code for WoS article
000509780500021
EID of the result in the Scopus database
2-s2.0-85076481519