Literature DB >> 26028804

Skeletal shape correspondence via entropy minimization.

Liyun Tu1, Martin Styner2, Jared Vicory2, Beatriz Paniagua2, Juan Carlos Prieto3, Dan Yang4, Stephen M Pizer2.   

Abstract

PURPOSE: Improving the shape statistics of medical image objects by generating correspondence of interior skeletal points. DATA: Synthetic objects and real world lateral ventricles segmented from MR images.
METHODS: Each object's interior is modeled by a skeletal representation called the s-rep, which is a quadrilaterally sampled, folded 2-sided skeletal sheet with spoke vectors proceeding from the sheet to the boundary. The skeleton is divided into three parts: up-side, down-side and fold-curve. The spokes on each part are treated separately and, using spoke interpolation, are shifted along their skeletal parts in each training sample so as to tighten the probability distribution on those spokes' geometric properties while sampling the object interior regularly. As with the surface-based correspondence method of Cates et al., entropy is used to measure both the probability distribution tightness and sampling regularity. The spokes' geometric properties are skeletal position, spoke length and spoke direction. The properties used to measure the regularity are the volumetric subregions bounded by the spokes, their quadrilateral sub-area and edge lengths on the skeletal surface and on the boundary.
RESULTS: Evaluation on synthetic and real world lateral ventricles demonstrated improvement in the performance of statistics using the resulting probability distributions, as compared to methods based on boundary models. The evaluation measures used were generalization, specificity, and compactness.
CONCLUSIONS: S-rep models with the proposed improved correspondence provide significantly enhanced statistics as compared to standard boundary models.

Entities:  

Keywords:  Shape; correspondence; lateral ventricles; modeling; shape analysis; skeletal representation

Year:  2015        PMID: 26028804      PMCID: PMC4449153          DOI: 10.1117/12.2081245

Source DB:  PubMed          Journal:  Proc SPIE Int Soc Opt Eng        ISSN: 0277-786X


  8 in total

1.  Parametric estimate of intensity inhomogeneities applied to MRI.

Authors:  M Styner; C Brechbühler; G Székely; G Gerig
Journal:  IEEE Trans Med Imaging       Date:  2000-03       Impact factor: 10.048

2.  Framework for the Statistical Shape Analysis of Brain Structures using SPHARM-PDM.

Authors:  Martin Styner; Ipek Oguz; Shun Xu; Christian Brechbühler; Dimitrios Pantazis; James J Levitt; Martha E Shenton; Guido Gerig
Journal:  Insight J       Date:  2006

3.  Shape modeling and analysis with entropy-based particle systems.

Authors:  Joshua Cates; P Thomas Fletcher; Martin Styner; Martha Shenton; Ross Whitaker
Journal:  Inf Process Med Imaging       Date:  2007

4.  Continuous medial representation of brain structures using the biharmonic PDE.

Authors:  Paul A Yushkevich
Journal:  Neuroimage       Date:  2008-11-12       Impact factor: 6.556

5.  Deformable M-Reps for 3D Medical Image Segmentation.

Authors:  Stephen M Pizer; P Thomas Fletcher; Sarang Joshi; Andrew Thall; James Z Chen; Yonatan Fridman; Daniel S Fritsch; Graham Gash; John M Glotzer; Michael R Jiroutek; Conglin Lu; Keith E Muller; Gregg Tracton; Paul Yushkevich; Edward L Chaney
Journal:  Int J Comput Vis       Date:  2003-11-01       Impact factor: 7.410

6.  Analysis of principal nested spheres.

Authors:  Sungkyu Jung; Ian L Dryden; J S Marron
Journal:  Biometrika       Date:  2012-07-24       Impact factor: 2.445

7.  Boundary and medial shape analysis of the hippocampus in schizophrenia.

Authors:  Martin Styner; Jeffrey A Lieberman; Dimitrios Pantazis; Guido Gerig
Journal:  Med Image Anal       Date:  2004-09       Impact factor: 8.545

8.  Lateral ventricle morphology analysis via mean latitude axis.

Authors:  Beatriz Paniagua; Amanda Lyall; Jean-Baptiste Berger; Clement Vachet; Robert M Hamer; Sandra Woolson; Weili Lin; John Gilmore; Martin Styner
Journal:  Proc SPIE Int Soc Opt Eng       Date:  2013-03-29
  8 in total
  3 in total

1.  Skeletal Shape Correspondence Through Entropy.

Authors:  Liyun Tu; Martin Styner; Jared Vicory; Shireen Elhabian; Rui Wang; Junpyo Hong; Beatriz Paniagua; Juan C Prieto; Dan Yang; Ross Whitaker; Stephen M Pizer
Journal:  IEEE Trans Med Imaging       Date:  2017-09-21       Impact factor: 10.048

2.  Fitting Skeletal Object Models Using Spherical Harmonics Based Template Warping.

Authors:  Liyun Tu; Dan Yang; Jared Vicory; Xiaohong Zhang; Stephen M Pizer; Martin Styner
Journal:  IEEE Signal Process Lett       Date:  2015-09-03       Impact factor: 3.109

3.  Non-Euclidean classification of medically imaged objects via s-reps.

Authors:  Junpyo Hong; Jared Vicory; Jörn Schulz; Martin Styner; J S Marron; Stephen M Pizer
Journal:  Med Image Anal       Date:  2016-02-19       Impact factor: 8.545

  3 in total

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