A Total Variation based Denoising Algorithm for 3D Ultrasound

نویسندگان

  • Manya V. Afonso
  • João M. R. Sanches
چکیده

This paper presents an algorithm for denoising a three dimensional image, under the Rayleigh distributed multiplicative noise model, which is the observational model for Ultrasound imaging. The proposed method performs a variable splitting to introduce an auxiliary variable to serve as the argument of the 3D total variation term. This leads to two problems involving the data fidelity term and the regularizer, which are solved alternatingly leading to an instance of the Alternating Direction Method of Multipliers (ADMM) method, for which convergence is guaranteed. This framework offers a simple way to apply the TV regularizer as at each iteration, one needs to minimize the sum of a TV term and a least squares term, as against the Rayleigh penalty function. This framework can further be extended to decompose the image and speckle.

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تاریخ انتشار 2012