Journal article
Improved tensor scale computation with application to medical image interpolation
Computerized medical imaging and graphics, Vol.35(1), pp.64-80
2011
DOI: 10.1016/j.compmedimag.2010.09.007
PMCID: PMC3090042
PMID: 20961733
Abstract
Tensor scale (t-scale) is a parametric representation of local structure morphology that simultaneously describes its orientation, shape and isotropic scale. At any image location, t-scale represents the largest ellipse (an ellipsoid in three dimensions) centered at that location and contained in the same homogeneous region. Here, we present an improved algorithm for t-scale computation and study its application to image interpolation. Specifically, the t-scale computation algorithm is improved by: (1) enhancing the accuracy of identifying local structure boundary and (2) combining both algebraic and geometric approaches in ellipse fitting. In the context of interpolation, a closed form solution is presented to determine the interpolation line at each image location in a gray level image using t-scale information of adjacent slices. At each location on an image slice, the method derives normal vector from its t-scale that yields trans-orientation of the local structure and points to the closest edge point. Normal vectors at the matching two-dimensional locations on two adjacent slices are used to compute the interpolation line using a closed form equation. The method has been applied to
BrainWeb data sets and to several other images from clinical applications and its accuracy and response to noise and other image-degrading factors have been examined and compared with those of current state-of-the-art interpolation methods. Experimental results have established the superiority of the new t-scale based interpolation method as compared to existing interpolation algorithms. Also, a quantitative analysis based on the paired
t-test of residual errors has ascertained that the improvements observed using the t-scale based interpolation are statistically significant.
Details
- Title: Subtitle
- Improved tensor scale computation with application to medical image interpolation
- Creators
- Ziyue Xu - Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA 52242, United StatesMilan Sonka - Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA 52242, United StatesPunam K Saha - Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA 52242, United States
- Resource Type
- Journal article
- Publication Details
- Computerized medical imaging and graphics, Vol.35(1), pp.64-80
- DOI
- 10.1016/j.compmedimag.2010.09.007
- PMID
- 20961733
- PMCID
- PMC3090042
- NLM abbreviation
- Comput Med Imaging Graph
- ISSN
- 0895-6111
- eISSN
- 1879-0771
- Publisher
- Elsevier Ltd
- Language
- English
- Date published
- 2011
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Radiology; Electrical and Computer Engineering; Radiation Oncology; Injury Prevention Research Center; Ophthalmology and Visual Sciences
- Record Identifier
- 9984047873402771
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