Method and system for constrained reconstruction applied to magnetic resonance temperature mapping

A computer-readable medium comprising computer-readable instructions therein that, upon execution by a processor, cause the processor to perform image reconstruction of undersampled image data, the instructions configured to cause a computing device to:

• receive imaging data of an image area, wherein the imaging data is thermal magnetic resonance imaging data in k-space generated at less than the Nyquist rate;
• minimize a cost function based on an image estimate and the received imaging data;
• and
• construct an image of the image area based on the minimized cost function.

A method of performing Image reconstruction of undersampled image data, the method comprising:

• (a) receiving imaging data of an image area, wherein the imaging data is thermal magnetic resonance imaging data in k-space generated at less than the Nyquist rate;
• (b) minimizing a cost function based on an image estimate and the received imaging data;
• and
• (c) defining an image of the image area based on the minimized cost function.