For joint k-q reconstruction, it’s beneficial to incoherently under-sampling k-space for different q-space points to utilize the complimentary k-space information. As nearby q-space points in general share more similarities than distant points, it is hypothesized that locally-incoherent k-space sampling can further improve the joint k-q reconstruction. In this work, we propose a method to design locally-incoherent k-space sampling patterns based on a graph colouring algorithm. Results show the proposed method achieves better reconstruction than existing sampling schemes.
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