Ultrasound system and methods thereof for generation of a morphing function and elastic properties of a moving medium using full waveform inversion

A system for ultrasound imaging of a moving medium, the system comprising:

• a processing circuitry;
• a plurality of ultrasound sensors communicatively connected to at least the processing circuitry;
• and
• a memory communicatively connected to the processing circuitry and containing therein a plurality of instructions that when executed by the processing circuitry, configure the system to:
• receive by the plurality of ultrasound sensors a first plurality of ultrasound wave signals obtained from the moving medium;
• generate an initial estimated model of a morphing function for a motion of the moving medium, wherein the motion of the moving medium is determined based on at least one received signal of the plurality of first received signals, wherein the morphing function defines morphing of the moving medium from a plurality of received signals;
• perform a wave inversion by using at least the estimated morphing function;
• and
• generate an ultrasound image based on at least the initial estimated model of the morphing function subsequent to the wave inversion.