Robust Correspondence for Nonregular Surfaces
Geodesic Distance & Surface Normal Entropy to Improve Correspondence
To resolve the challenges posed by highly nonregular surfaces, we have proposed an efficient method which incorporates Geodesic distances and an intershape penalty based on surface normals to improve correspondences.
[ MICCAI 2011 ]
Correspondence for Longitudinal Shape Analysis
Linear Mixed-effects Model for Shapes
Longitudinal shape changes in anatomy are characterized using a new method that combines point correspondences across shapes with the statistical modeling of individual and population trends via the linear mixed-effects model. This method helps us examine and contrast population trends with individual growth trajectories.
(w/ P Muralidharan, A Kumar) [ STIA 2012 ]
Correspondence for Shape Regression
Regression for Brain Structures
The linear regression model was applied to model shape changes in early development of brain structures (left/right hemisphere, cerebellum) and the head shape. This study provides the ability to characterize relative growth of multiple brain structures over a period of time.
Head Shape Regression
Correspondence based on linear regression was incorporated to arrive at a normative model of early head shape development.
(w/ J Cates) [ MICCAI 2009 ]
statistical shape analysis applications
Understanding Short bone Phenotype in Osteochondroma
Novel statistical methods were developed to study the 'steal phenomenon' caused by multiple osteochondromas in mouse models. Bone lengths and volumes were compared. Metaphyseal volume deviations from normal, as a measure of osteochondroma volumetric growth, were correlated with length deviations.
(w/ K Jones (MD)) [ JOR 2012 ]
FAI Analysis
Cam femoroacetabular impingement (FAI) is characterized by a malformed femoral head that may lead to early hip osteoarthritis. Radiographic measurements are used to diagnose cam FAI and often assume the femur shape to be spherical. Statistical shape modeling (SSM) can be used to compare complex 3D morphology without the need to assume ideal geometry and quantify morphologic differences between control and FAI femurs.
(w/ MD Harris) [ CMBBE 2012 ] [ORS 2012] [JOR 2012, under review]
Left Ventricle Analysis
As an application to a highly nonregular surface, statical shape analysis was used to quantify significant morphological differences in the left ventricular myocardium of ischemic patients and non-ischemic controls.
[ MICCAI 2011 ]
Correspondence for Open Surfaces
To compute correspondence positions on a set of open surfaces, we define the boundary as the intersection of the surface with a set of geometric primitives. Our goal is to formulate the interactions with these boundaries so that the positions of these constraints has as little influence as possible on the statistical shape model.
(w/ J Cates) [ MICCAI 2009 ]
GP-GPU
GPU Acceleration for Particle Systems
GPGPU concepts are applied to implement an efficient parallel implementation of the particle distribution process.
(w/ B Peterson) [ SAAHPC 2010 ]