A system for monitoring movement of a volume of tissue within a patient to facilitate treatment thereof, the system comprising: a memory for storing one or more three-dimensional images of the volume of tissue; a processor configured to (i) identify voxels within the volume based on the images, (ii) assign voxel-space coordinates to the voxels prior to movement of the tissue, (iii) associate treatment-related attributes with at least some of the voxels, wherein the treatment-related attributes categorize the voxels based on their locations in a target region, a region outside the target region that tolerates low energy densities, and a no-pass zone that would be damaged if a treatment energy beam were to pass through it, voxels in the target region being categorized as target voxels, voxels in the region that tolerates low energy densities being categorized as low energy tolerant voxels, and voxels in the no-pass zone being categorized as no pass voxels, further wherein the attributes are at least one of optimal temperature, an optimal energy dosage, a maximum tolerable temperature, a maximum tolerable energy dosage, a minimum effective temperature, or a minimum effective energy dosage, (iv) determine parameters characterizing movement of the tissue, (iv) determine shifted positions of the voxels within the voxel coordinate space based on the parameters and shift positions of the voxels by assigning updated voxel-space coordinates to the voxels,, and (v) shift treatment-related attributes associated with the voxels along with the respective voxels, (vi) alter at least one treatment parameter based on new positions of the shifted voxels and the treatment-related attributes associated therewith, wherein the system is for performing non-invasive procedures using acoustic energy. a memory for storing one or more three-dimensional images of the volume of tissue; a processor configured to (i) identify voxels within the volume based on the images, (ii) assign voxel-space coordinates to the voxels prior to movement of the tissue, (iii) associate treatment-related attributes with at least some of the voxels, wherein the treatment-related attributes categorize the voxels based on their locations in a target region, a region outside the target region that tolerates low energy densities, and a no-pass zone that would be damaged if a treatment energy beam were to pass through it, voxels in the target region being categorized as target voxels, voxels in the region that tolerates low energy densities being categorized as low energy tolerant voxels, and voxels in the no-pass zone being categorized as no pass voxels, further wherein the attributes are at least one of optimal temperature, an optimal energy dosage, a maximum tolerable temperature, a maximum tolerable energy dosage, a minimum effective temperature, or a minimum effective energy dosage, (iv) determine parameters characterizing movement of the tissue, (iv) determine shifted positions of the voxels within the voxel coordinate space based on the parameters and shift positions of the voxels by assigning updated voxel-space coordinates to the voxels,, and (v) shift treatment-related attributes associated with the voxels along with the respective voxels, (vi) alter at least one treatment parameter based on new positions of the shifted voxels and the treatment-related attributes associated therewith, wherein the system is for performing non-invasive procedures using acoustic energy.