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- W2150798182 abstract "Complex diffusion is a comparatively new Partial Differential Equations (PDE) based method introduced for removing noise from images. The efficiency of 2 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>nd</sup> order complex diffusion for image denoising is already proved by many researchers. 2 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>nd</sup> order non linear complex diffusion can behave like 3 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>rd</sup> and 4 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>th</sup> order real PDEs enabling a variety of new options with standard 2 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>nd</sup> order numerical schemes. Extending 2 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>nd</sup> order non linear complex diffusion to 4 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>th</sup> order can produce a much better result. In this paper we present a 4 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>th</sup> order non linear complex diffusion. Our experimental results show that this 4 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>th</sup> order complex PDE is a good choice for denoising Magnetic Resonance images. The efficacy of the algorithm is demonstrated on both simulated and real magnetic resonance images." @default.
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- W2150798182 date "2009-01-01" @default.
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- W2150798182 title "Denoising Magnetic Resonance Images Using Fourth Order Complex Diffusion" @default.
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- W2150798182 doi "https://doi.org/10.1109/imvip.2009.29" @default.
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