Population-Based Fitting of Medial Shape Models with Correspondence Optimization

Autor:	Stephen M. Pizer, Guido Gerig, Timothy B. Terriberry, James Damon, Sarangi C. Josh
Rok vydání:	2007
Předmět:	education.field_of_study business.industry Statistical shape analysis Coordinate system Population Medial axis Active shape model Topological skeleton Computer vision Artificial intelligence Principal geodesic analysis education business Algorithm Shape analysis (digital geometry) Mathematics
Zdroj:	Lecture Notes in Computer Science ISBN: 9783540732723 IPMI
DOI:	10.1007/978-3-540-73273-0_58
Popis:	A crucial problem in statistical shape analysis is establishing the correspondence of shape features across a population. While many solutions are easy to express using boundary representations, this has been a considerable challenge for medial representations. This paper uses a new 3-D medial model that allows continuous interpolation of the medial manifold and provides a map back and forth between it and the boundary. A measure defined on the medial surface then allows one to write integrals over the boundary and the object interior in medial co-ordinates, enabling the expression of important object properties in an object-relative coordinate system. We use these integrals to optimize correspondence during model construction, reducing variability due to the model parameterization that could potentially mask true shape change effects. Discrimination and hypothesis testing of populations of shapes are expected to benefit, potentially resulting in improved significance of shape differences between populations even with a smaller sample size.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d7cd23644c99d72a33b5871df4112cfd https://doi.org/10.1007/978-3-540-73273-0_58 Zobrazit plný text záznamu