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Edge Structure Preserving 3D Image Denoising by Local Surface Approximation
Aug. 2012 (vol. 34 no. 8)
pp. 1457-1468
P. S. Mukherjee, Sch. of Stat., Univ. of Minnesota, Minneapolis, MN, USA
Peihua Qiu, Sch. of Stat., Univ. of Minnesota, Minneapolis, MN, USA
In various applications, including magnetic resonance imaging (MRI) and functional MRI (fMRI), 3D images are becoming increasingly popular. To improve the reliability of subsequent image analyses, 3D image denoising is often a necessary preprocessing step, which is the focus of the current paper. In the literature, most existing image denoising procedures are for 2D images. Their direct extensions to 3D cases generally cannot handle 3D images efficiently because the structure of a typical 3D image is substantially more complicated than that of a typical 2D image. For instance, edge locations are surfaces in 3D cases which would be much more challenging to handle compared to edge curves in 2D cases. We propose a novel 3D image denoising procedure in this paper, based on local approximation of the edge surfaces using a set of surface templates. An important property of this method is that it can preserve edges and major edge structures (e.g., intersections of two edge surfaces and pointed corners). Numerical studies show that it works well in various applications.

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Index Terms:
medical image processing,approximation theory,biomedical MRI,edge detection,image denoising,edge structures,edge structure preserving 3D image denoising,local surface approximation,magnetic resonance imaging,functional MRI,fMRI,reliability,image analyses,2D images,edge locations,edge curves,3D image denoising procedure,local approximation,edge surfaces,surface templates,Image edge detection,Image denoising,Approximation methods,Noise,Surface treatment,Magnetic resonance imaging,Noise reduction,surface estimation.,Edge-preserving image restoration,jump regression analysis,nonparametric regression
P. S. Mukherjee, Peihua Qiu, "Edge Structure Preserving 3D Image Denoising by Local Surface Approximation," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 34, no. 8, pp. 1457-1468, Aug. 2012, doi:10.1109/TPAMI.2011.261
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