Medial Representations
Mathematics, Algorithms and Applications
Page
%P
-
Chapter and Conference Paper
A Surface-Normal Based Neural Framework for Colonoscopy Reconstruction
Reconstructing a 3D surface from colonoscopy video is challenging due to illumination and reflectivity variation in the video frame that can cause defective shape predictions. Aiming to overcome this challenge...
-
Chapter and Conference Paper
Lighting Enhancement Aids Reconstruction of Colonoscopic Surfaces
High screening coverage during colonoscopy is crucial to effectively prevent colon cancer. Previous work has allowed alerting the doctor to unsurveyed regions by reconstructing the 3D colonoscopic surface from...
-
Chapter and Conference Paper
SlicerSALT: Shape AnaLysis Toolbox
SlicerSALT is an open-source platform for disseminating state-of-the-art methods for performing statistical shape analysis. These methods are developed as 3D Slicer extensions to take advantage of its powerful...
-
Article
Non-linear Hypothesis Testing of Geometric Object Properties of Shapes Applied to Hippocampi
This paper presents a novel method to test mean differences of geometric object properties (GOPs). The method is designed for data whose representations include both Euclidean and non-Euclidean elements. It is...
-
Chapter
Nested Sphere Statistics of Skeletal Models
We seek a form of object model that exactly and completely captures the interior of most non-branching anatomic objects and simultaneously is well suited for probabilistic analysis on populations of such objec...
-
Chapter and Conference Paper
A Learning-Based Patient Repositioning Method from Limited-Angle Projections
This paper presents a novel patient repositioning method from limitedangle tomographic projections. It uses a machine learning strategy. Given a single planning CT image (3D) of a patient, one applies patient-...
-
Chapter and Conference Paper
Generalized PCA via the Backward Stepwise Approach in Image Analysis
Principal component analysis (PCA) for various types of image data is analyzed in terms of the forward and backward stepwise viewpoints. In the traditional forward view, PCA and approximating subspaces are con...
-
Book
-
Article
Statistical Multi-Object Shape Models
The shape of a population of geometric entities is characterized by both the common geometry of the population and the variability among instances. In the deformable model approach, it is described by a probab...
-
Chapter and Conference Paper
Geometrically Proper Models in Statistical Training
In deformable model segmentation, the geometric training process plays a crucial role in providing shape statistical priors and appearance statistics that are used as likelihoods. Also, the geometric training ...
-
Chapter and Conference Paper
Regional Appearance in Deformable Model Segmentation
Automated medical image segmentation is a challenging task that benefits from the use of effective image appearance models. In this paper, we compare appearance models at three regional scales for statisticall...
-
Chapter and Conference Paper
Population-Based Fitting of Medial Shape Models with Correspondence Optimization
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 c...
-
Chapter and Conference Paper
Statistics of Pose and Shape in Multi-object Complexes Using Principal Geodesic Analysis
A main focus of statistical shape analysis is the description of variability of a population of geometric objects. In this paper, we present work in progress towards modeling the shape and pose variability of ...
-
Chapter
Shape Variation of Medial Axis Representations via Principal Geodesic Analysis on Symmetric Spaces
Statistical shape analysis of anatomical structures plays an important role in many medical image analysis applications. For instance, shape statistics are useful in understanding the structural changes in ana...
-
Book
-
Chapter and Conference Paper
Estimating the Statistics of Multi-object Anatomic Geometry Using Inter-object Relationships
We present a methodology for estimating the probability of multi-object anatomic complexes that reflects both the individual objects’ variability and the variability of the inter-relationships between objects....
-
Chapter and Conference Paper
Deep Structure of Images in Populations Via Geometric Models in Populations
We face the question of how to produce a scale space of image intensities relative to a scale space of objects or other characteristic image regions filling up the image space, when both images and objects are...
-
Chapter and Conference Paper
Histogram Statistics of Local Model-Relative Image Regions
We present a novel approach to statistically characterize histograms of model-relative image regions. A multiscale model is used as an aperture to define image regions at multiple scales. We use this image des...
-
Chapter and Conference Paper
Multi-figure Anatomical Objects for Shape Statistics
Multi-figure m-reps allow us to represent and analyze a complex anatomical object by its parts, by relations among its parts, and by the object itself as a whole entity. This representation also enables us to ...
-
Chapter and Conference Paper
Prostate Shape Modeling Based on Principal Geodesic Analysis Bootstrap**
The use of statistical shape models in medical image analysis is growing due to the ability to incorporate prior organ shape knowledge for tasks such as segmentation, registration, and classification.
