Intramuscular fat is an important indicator of the health of the lower extremities. It can be difficult with conventional Dixon techniques to acquire high resolution fat-fraction maps, which may be helpful for detailed analysis of the muscle tissue. We propose to use a linear model to generate a high resolution fat-fraction map from high resolution T2-weighted images. The results show that the proposed method and the conventional Dixon method have good agreement. The high resolution fat fraction maps generated with the proposed method reveal anatomic details of intramuscular fat not visible with the conventional method.