Convolution of 3D Gaussian surfaces for volumetric intensity inhomogeneity estimation and correction in 3D brain MR image data

Magnetic resonance (MR) imaging technique has become indispensable in image‐guided diagnosis and clinical research. However, present MR image acquisition leads to a slow varying intensity inhomogeneity (IIH) in MR image data. This study presents a novel technique based on convolution of three‐dimens...

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Main Authors: Sayan Kahali, Sudip Kumar Adhikari, Jamuna Kanta Sing
Format: Article
Language:English
Published: Wiley 2018-04-01
Series:IET Computer Vision
Subjects:
Online Access:https://doi.org/10.1049/iet-cvi.2016.0278
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author Sayan Kahali
Sudip Kumar Adhikari
Jamuna Kanta Sing
author_facet Sayan Kahali
Sudip Kumar Adhikari
Jamuna Kanta Sing
author_sort Sayan Kahali
collection DOAJ
description Magnetic resonance (MR) imaging technique has become indispensable in image‐guided diagnosis and clinical research. However, present MR image acquisition leads to a slow varying intensity inhomogeneity (IIH) in MR image data. This study presents a novel technique based on convolution of three‐dimensional (3D) Gaussian surfaces, which is denoted as ‘Co3DGS’, for volumetric IIH estimation and correction for 3D brain MR image data. A 3D Gaussian surface is approximated using local voxel gradients on each tissue volume corresponding to grey matter, white matter and cerebrospinal fluid of the 3D brain MR image data and then convolved to partially estimate the IIH, which is subsequently removed from the image data. The above processes are repeated until there is no such significant change in the voxel gradients. The Co3DGS technique has been tested on both synthetic and in‐vivo human 3D brain MR image data of different pulse sequences. The empirical results both in qualitatively and quantitatively, which include coefficient of joint variation, index of variation, index of joint variation, index of class separability and root mean square error, collectively demonstrate that the Co3DGS efficiently estimates and removes the IIH from the 3D brain MR image data and stands superior to some state‐of‐the‐art methods.
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spelling doaj.art-221a760ff03941b98bea1f3a649e55072023-09-15T09:32:17ZengWileyIET Computer Vision1751-96321751-96402018-04-0112328829710.1049/iet-cvi.2016.0278Convolution of 3D Gaussian surfaces for volumetric intensity inhomogeneity estimation and correction in 3D brain MR image dataSayan Kahali0Sudip Kumar Adhikari1Jamuna Kanta Sing2Department of Computer Science and EngineeringJadavpur University188, Raja S. C. Mallick RoadKolkataIndiaCooch Behar Government Engineering CollegeGhughumariCooch BeharIndiaDepartment of Computer Science and EngineeringJadavpur University188, Raja S. C. Mallick RoadKolkataIndiaMagnetic resonance (MR) imaging technique has become indispensable in image‐guided diagnosis and clinical research. However, present MR image acquisition leads to a slow varying intensity inhomogeneity (IIH) in MR image data. This study presents a novel technique based on convolution of three‐dimensional (3D) Gaussian surfaces, which is denoted as ‘Co3DGS’, for volumetric IIH estimation and correction for 3D brain MR image data. A 3D Gaussian surface is approximated using local voxel gradients on each tissue volume corresponding to grey matter, white matter and cerebrospinal fluid of the 3D brain MR image data and then convolved to partially estimate the IIH, which is subsequently removed from the image data. The above processes are repeated until there is no such significant change in the voxel gradients. The Co3DGS technique has been tested on both synthetic and in‐vivo human 3D brain MR image data of different pulse sequences. The empirical results both in qualitatively and quantitatively, which include coefficient of joint variation, index of variation, index of joint variation, index of class separability and root mean square error, collectively demonstrate that the Co3DGS efficiently estimates and removes the IIH from the 3D brain MR image data and stands superior to some state‐of‐the‐art methods.https://doi.org/10.1049/iet-cvi.2016.02783D Gaussian surfacesconvolutionvolumetric intensity inhomogeneity estimation3D brain MR image datavolumetric intensity inhomogeneity correctionmagnetic resonance imaging technique
spellingShingle Sayan Kahali
Sudip Kumar Adhikari
Jamuna Kanta Sing
Convolution of 3D Gaussian surfaces for volumetric intensity inhomogeneity estimation and correction in 3D brain MR image data
IET Computer Vision
3D Gaussian surfaces
convolution
volumetric intensity inhomogeneity estimation
3D brain MR image data
volumetric intensity inhomogeneity correction
magnetic resonance imaging technique
title Convolution of 3D Gaussian surfaces for volumetric intensity inhomogeneity estimation and correction in 3D brain MR image data
title_full Convolution of 3D Gaussian surfaces for volumetric intensity inhomogeneity estimation and correction in 3D brain MR image data
title_fullStr Convolution of 3D Gaussian surfaces for volumetric intensity inhomogeneity estimation and correction in 3D brain MR image data
title_full_unstemmed Convolution of 3D Gaussian surfaces for volumetric intensity inhomogeneity estimation and correction in 3D brain MR image data
title_short Convolution of 3D Gaussian surfaces for volumetric intensity inhomogeneity estimation and correction in 3D brain MR image data
title_sort convolution of 3d gaussian surfaces for volumetric intensity inhomogeneity estimation and correction in 3d brain mr image data
topic 3D Gaussian surfaces
convolution
volumetric intensity inhomogeneity estimation
3D brain MR image data
volumetric intensity inhomogeneity correction
magnetic resonance imaging technique
url https://doi.org/10.1049/iet-cvi.2016.0278
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AT jamunakantasing convolutionof3dgaussiansurfacesforvolumetricintensityinhomogeneityestimationandcorrectionin3dbrainmrimagedata