Systems and methods for inversion of signal measurements for medical imaging are provided. In one example implementation, a method can include accessing a plurality of signal measurements. The method can include accessing a convolution model defining a relationship between signal measurements and property of the specimen. The method can include determining a property distribution for the specimen by performing an inversion based at least in part on the convolution model and signal measurements. The inversion can based at least in part on a penalized objective function. The penalized objective function having a penalty term. The penalty term for individual solution components can be independently weighted. The method can include generating a property map of the specimen based at least in part on the property distribution； and outputting the property map as an image on a display device.
