A GPU Accelerated Local Polynomial Approximation Algorithm for Efficient Denoising of MR Images

This paper presents a parallelized implementation of the Local Polynomial Approximation algorithm targetted at CUDA-enabled GPU hardware. Although the application area of LPA in the image processing domain is very wide, here the focus is put on magnetic resonance image de-noising. In this case, LPA serves as a pre-processing step in the method based on Shape-Adaptive Discrete Cosine Transform. It is shown, how the designed efficient implementation of LPA substantially reduces the execution time of SA-DCT.

[1]  D. Louis Collins,et al.  Robust Rician noise estimation for MR images , 2010, Medical Image Anal..

[2]  Jaakko Astola,et al.  Local Approximation Techniques in Signal and Image Processing (SPIE Press Monograph Vol. PM157) , 2006 .

[3]  J Sijbers,et al.  Estimation of the noise in magnitude MR images. , 1998, Magnetic resonance imaging.

[4]  Jaakko Astola,et al.  Adaptive Window Size Image De-noising Based on Intersection of Confidence Intervals (ICI) Rule , 2002, Journal of Mathematical Imaging and Vision.

[5]  Woei-Chyn Chu,et al.  Rician noise removal in MR images using an adaptive trilateral filter , 2011, 2011 4th International Conference on Biomedical Engineering and Informatics (BMEI).

[6]  J. Hogg Magnetic resonance imaging. , 1994, Journal of the Royal Naval Medical Service.

[7]  Arvid Lundervold,et al.  Shape-Adaptive DCT for Denoising of 3D Scalar and Tensor Valued Images , 2009, Journal of Digital Imaging.

[8]  幹男 山本 “IEEE Trans. on Medical Imaging”誌と本誌 , 1983 .

[9]  Ian R. Greenshields,et al.  A Nonlocal Maximum Likelihood Estimation Method for Rician Noise Reduction in MR Images , 2009, IEEE Transactions on Medical Imaging.

[10]  Wesley E. Snyder,et al.  Noise removal from multiple MRI images , 1994, Journal of Digital Imaging.

[11]  James S. Duncan,et al.  Medical Image Analysis , 1999, IEEE Pulse.

[12]  Alan C. Evans,et al.  MRI Simulation Based Evaluation and Classifications Methods , 1999, IEEE Trans. Medical Imaging.