Storage, display, and analysis of factored multidimensional images

A method of analyzing imaging data associated with a region of interest of a subject, the method comprising:

• obtaining, from the imaging data or from associated images, (i) a spatial basis tensor containing one or more basis images, (ii) a plurality of temporal basis tensors each containing one or more basis functions for a respective one of a plurality of temporal dimensions, and (iii) a core tensor that relates the spatial basis tensor to each of the one or more temporal basis tensors;
• and
• generating a plurality of images by multiplying (i) the core tensor, (ii) at least a portion of the spatial basis tensor, and (iii) only a portion of the plurality of temporal basis tensors,
• wherein the portion of the plurality of temporal basis tensors includes at least a first temporal basis tensor containing the one or more basis functions for a first temporal dimension of the plurality of temporal dimensions and excludes at least a second temporal basis tensor containing the one or more basis functions for a second temporal dimension of the plurality of temporal dimensions such that the plurality of images show the region of interest while at least the first temporal dimension varies over time and at least the second temporal dimension is held constant.

A processing device for analyzing imaging data associated with a region of interest of a subject, the processing device comprising:

• a processor-executable memory having instructions stored thereon;
• and
• a processor configured to execute the instructions to:
• obtain, from the imaging data or from associated images, (i) a spatial basis tensor containing one or more basis images, (ii) a plurality of temporal basis tensors each containing one or more basis functions for a respective one of a plurality of temporal dimensions, and (iii) a core tensor that relates the spatial basis tensor to each of the one or more temporal basis tensors;
• and
• generate a plurality of images by multiplying (i) the core tensor, (ii) at least a portion of the spatial basis tensor, and (iii) only a portion of the plurality of temporal basis tensors,
• wherein the portion of the plurality of temporal basis tensors includes at least a first temporal basis tensor containing the one or more basis functions for a first temporal dimension of the plurality of temporal dimensions and excludes at least a second temporal basis tensor containing the one or more basis functions for a second temporal dimension of the plurality of temporal dimensions such that the plurality of images show the region of interest while at least the first temporal dimension varies over time and at least the second temporal dimension is held constant.

A non-transitory machine-readable medium having stored thereon instructions for analyzing imaging data associated with a region of interest of a subject, which when executed by at least one processor, cause the at least one processor to:

• obtain, from the imaging data or from associated images, (i) a spatial basis tensor containing one or more basis images, (ii) a plurality of temporal basis tensors each containing one or more basis functions for a respective one of a plurality of temporal dimensions, and (iii) a core tensor that relates the spatial basis tensor to each of the one or more temporal basis tensors;
• and
• generate a plurality of images by multiplying (i) the core tensor, (ii) at least a portion of the spatial basis tensor, and (iii) only a portion of the plurality of temporal basis tensors,
• wherein the portion of the plurality of temporal basis tensors includes at least a first temporal basis tensor containing the one or more basis functions for a first temporal dimension of the plurality of temporal dimensions and excludes at least a second temporal basis tensor containing the one or more basis functions for a second temporal dimension of the plurality of temporal dimensions such that the plurality of images show the region of interest while at least the first temporal dimension varies over time and at least the second temporal dimension is held constant.