Abstract: Objective To propose a new method for dynamic positron emission tomographic (PET) image reconstruction using
low rank and sparse penalty (L&S). Methods The L&S reconstruction model was established and the split Bregman method
was used to solve the optimal cost function. The one-tissue compartment model was used to simulate a set of PET 82Rb
myocardial perfusion image. The L&S reconstruction method was compared with maximum likelihood expectation
maximization (MLEM) method, low-rank penalty method and sparse penalty method. Results The L&S reconstruction
method had the smallest MSE and well maintained the feature information. The polar map created by L&S method was the
most similar with the reference actual polar map. Conclusion L&S reconstruction method is better than the other three
methods in both visual and quantitative analysis of the PET images.