Abstract: A method, system, and computer-readable medium are provided which perform reconstruction of an image from undersampled k-space data. Imaging data of an image area is received. The imaging data is thermal magnetic resonance imaging data in k-space generated at less than the Nyquist rate. A cost function is minimized based on an image estimate and the received imaging data. An image of the image area is defined based on the minimized cost function. The received imaging data may include current k-space data and a summation of k-space data from previous time frames. Additionally, the image may be defined before imaging data is received for a next timeframe.