1. A computer-implemented method for performing magnetic-resonance analysis of a sample, comprising: obtaining a set of translational diffusion-weighted magnetic resonance signals associated with a plurality of diffusion-weighted field strengths and a plurality of diffusion-weighted field directions; providing the set of translational diffusion-weighted magnetic resonance signals to a processor; using the processor to differentiate a signal portion in the set of signals corresponding to restricted diffusion from a signal portion in the set of signals corresponding to hindered diffusion; estimating at least one parameter associated with translational diffusion in a restricted compartment of the sample based on the signal portion corresponding to restricted diffusion, wherein the estimated parameter associated with the restricted compartment corresponds to at least one of an orientation of the restricted compartment, a spin fraction associated with the restricted compartment, a principal diffusivity associated with the restricted compartment, or a dimension of the restricted compartment; and providing the estimated parameter.