Reversible 3-D decorrelation of medical images

Two methods, namely, differential pulse code modulation (DPCM) and hierarchical interpolation (HINT), are considered. It is shown that HINT cannot be extended straightforwardly to 3-D images as contrasted with DPCM. A 3-D HINT is therefore proposed which is based on a combination of 2-D and 3-D filt...

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Bibliographic Details
Published inIEEE transactions on medical imaging Vol. 12; no. 3; pp. 413 - 420
Main Authors Roos, P., Viergever, M.A.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 1993
Institute of Electrical and Electronics Engineers
Subjects
Biological and medical sciences
Biomedical imaging
Carbon capture and storage
Computed tomography
Computerized, statistical medical data processing and models in biomedicine
Decorrelation
Filters
Interpolation
Magnetic resonance
Magnetic separation
Medical sciences
Models and simulation
Modulation coding
Pulse modulation
Correlation coefficient
Autocorrelation function
Compression
Mathematical analysis
Theoretical study
Medical imagery
Tridimensional image
Computerized axial tomography
Photon
Positron emission tomography
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Summary:Two methods, namely, differential pulse code modulation (DPCM) and hierarchical interpolation (HINT), are considered. It is shown that HINT cannot be extended straightforwardly to 3-D images as contrasted with DPCM. A 3-D HINT is therefore proposed which is based on a combination of 2-D and 3-D filters. Both decorrelation methods were applied to three-dimensional computed tomography (CT), magnetic resonance (MR), and single-photon-emission CT (SPECT) images. It was found that a 3-D approach is optimal for some studies, while for other studies 2-D or even 1-D decorrelation performs better. The optimal dimensionality of DPCM is related to the magnitudes of the local correlation coefficients (CCs). However, the nonlocal nature of HINT makes the local correlation coefficients useless as indicators of the dimensionality; a better candidate is the image voxel size. For images with cubic or nearly cubic voxels 3-D HINT is generally optimal. For images in which the slice thickness is large compared to the pixel size a 2-D (intraslice) HINT is best. In general, the increase in efficiency obtained by extending 2-D decorrelation method to 3-D is small.< >
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ISSN:0278-0062
DOI:10.1109/42.241868