ArticleMagnetic resonance in medicine2026
Fully-Constrained Variable Projection for Water-Fat Models.
Article in Magnetic resonance in medicine, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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Abstract
purposeVariable projection (VARPRO) is an effective technique to reduce the dimensionality of least squares optimization problems through the elimination of linear parameters. For water-fat models, constrained VARPRO variants have been proposed in the literature to ensure that water and fat components are aligned at TE = 0, thereby preventing overfitting of data. These models, however, still allow for anti-parallel orientation of water and fat and therefore remain potentially vulnerable. An alternative, fully-constrained VARPRO formulation is derived, which resolves these limitations without compromising dimensionality reduction and/or numerical performance. THEORY AND
methodsThe linear coefficients are redefined according to the physical constraints, thereby introducing the fat fraction
resultsFor challenging data, estimation of
conclusionFully-constrained VARPRO enables more reliable local parameter estimation, while preserving the efficiency of existing approaches.
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