TY - GEN
T1 - Statistical 2D and 3D shape analysis using Non-Euclidean Metrics
AU - Larsen, Rasmus
AU - Hilger, Klaus Baggesen
AU - Wrobel, Mark Christoph
PY - 2002
Y1 - 2002
N2 - We address the problem of extracting meaningful, uncorrelated biological
modes of variation from
tangent space shape coordinates in 2D and 3D using non-Euclidean metrics. We
adapt the maximum autocorrelation factor analysis and the minimum noise
fraction transform to shape decomposition. Furthermore, we study metrics based
on repated annotations of a training set. We define a way of assessing
the correlation between landmarks contrary to landmark coordinates. Finally,
we apply the proposed methods to a 2D data set consisting of outlines of
lungs and a 3D/(4D) data set consisting of sets of
mandible surfaces. In the latter
case the end goal is to construct a model for growth prediction and simulation.
AB - We address the problem of extracting meaningful, uncorrelated biological
modes of variation from
tangent space shape coordinates in 2D and 3D using non-Euclidean metrics. We
adapt the maximum autocorrelation factor analysis and the minimum noise
fraction transform to shape decomposition. Furthermore, we study metrics based
on repated annotations of a training set. We define a way of assessing
the correlation between landmarks contrary to landmark coordinates. Finally,
we apply the proposed methods to a 2D data set consisting of outlines of
lungs and a 3D/(4D) data set consisting of sets of
mandible surfaces. In the latter
case the end goal is to construct a model for growth prediction and simulation.
KW - maximum noise fractions
KW - shape analysis
KW - growth modelling
KW - maximum autocorrelation factors
U2 - 10.1007/3-540-45787-9_54
DO - 10.1007/3-540-45787-9_54
M3 - Article in proceedings
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 428
EP - 435
BT - Medical Image Computing and Computer-Assisted Intervention - MICCAI 2002, 5th Int. Conference, Tokyo, Japan
PB - Springer
ER -