A Unified Variational Approach to Denoising and Bias Correction in MR
| Autor: | Robert V. Mulkern, John W. Fisher, William M. Wells, Clare M. Tempany, Mujdat Cetin, Ayres C. Fan, Steven Haker, Alan S. Willsky |
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| Rok vydání: | 2003 |
| Předmět: | |
| Zdroj: | Lecture Notes in Computer Science ISBN: 9783540405603 IPMI |
| DOI: | 10.1007/978-3-540-45087-0_13 |
| Popis: | We propose a novel bias correction method for magnetic resonance (MR) imaging that uses complementary body coil and surface coil images. The former are spatially homogeneous but have low signal intensity; the latter provide excellent signal response but have large bias fields. We present a variational framework where we optimize an energy functional to estimate the bias field and the underlying image using both observed images. The energy functional contains smoothness-enforcing regularization for both the image and the bias field. We present extensions of our basic framework to a variety of imaging protocols. We solve the optimization problem using a computationally efficient numerical algorithm based on coordinate descent, preconditioned conjugate gradient, half-quadratic regularization, and multigrid techniques. We show qualitative and quantitative results demonstrating the effectiveness of the proposed method in producing debiased and denoised MR images. |
| Databáze: | OpenAIRE |
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