Recovery of parametric manifold from reduced measurements: Application to magnetic resonance parameter mapping

Magnetic resonance (MR) quantitative imaging such as parameter mapping has great potential in clinical applications. It requires acquisition of a sequence of images at different time points to extract the quantitative parameters. A practical challenge is the tradeoff between spatial resolution and acquisition speed. A number of methods have been proposed to address the challenge. In this paper, a novel manifold recovery approach is proposed to obtain the quantitative map from highly reduced measurements. The performance of the proposed method is demonstrated using simulated and real datasets on parameter mapping.