A system for assessment of function of a region of interest of a subject's heart comprising: an imaging modality configured for acquiring an image sequence for the region of interest of the subject's heart and determining a three-dimensional image from each cardiac phase in the image sequence; inputting each three-dimensional image of the image sequence into a processor, the processor configured to execute steps comprising: determining a binary volume for each three-dimensional image of the image sequence; creating a triangular mesh representing an endocardial boundary of the region of intererest of the subject's heart in each three-dimensional image of the image sequence; calculating a shape index value for the triangular mesh, wherein the shape index value is calculated to encode features engraved on the endocardial surface; calculating a result for a non-rigid registration algorithm using the shape index value along with coordinates of the region of interest of the subject's heart in a motion tracking algorithm to obtain a displacement map of the region of interest; using the displacement map to calculate trajectories of individual points on triangles of the triangular mesh from end diastole to end systole to obtain corresponding triangular elements for the triangular mesh at each three-dimensional image; calculating a function of the ratio of areas of the corresponding triangular elements; creating a visualization of the region of interest of the subject's heart and making a determination of cardiac function of the subject's heart. an imaging modality configured for acquiring an image sequence for the region of interest of the subject's heart and determining a three-dimensional image from each cardiac phase in the image sequence; inputting each three-dimensional image of the image sequence into a processor, the processor configured to execute steps comprising: determining a binary volume for each three-dimensional image of the image sequence; creating a triangular mesh representing an endocardial boundary of the region of intererest of the subject's heart in each three-dimensional image of the image sequence; calculating a shape index value for the triangular mesh, wherein the shape index value is calculated to encode features engraved on the endocardial surface; calculating a result for a non-rigid registration algorithm using the shape index value along with coordinates of the region of interest of the subject's heart in a motion tracking algorithm to obtain a displacement map of the region of interest; using the displacement map to calculate trajectories of individual points on triangles of the triangular mesh from end diastole to end systole to obtain corresponding triangular elements for the triangular mesh at each three-dimensional image; calculating a function of the ratio of areas of the corresponding triangular elements; creating a visualization of the region of interest of the subject's heart and making a determination of cardiac function of the subject's heart. determining a binary volume for each three-dimensional image of the image sequence; creating a triangular mesh representing an endocardial boundary of the region of intererest of the subject's heart in each three-dimensional image of the image sequence; calculating a shape index value for the triangular mesh, wherein the shape index value is calculated to encode features engraved on the endocardial surface; calculating a result for a non-rigid registration algorithm using the shape index value along with coordinates of the region of interest of the subject's heart in a motion tracking algorithm to obtain a displacement map of the region of interest; using the displacement map to calculate trajectories of individual points on triangles of the triangular mesh from end diastole to end systole to obtain corresponding triangular elements for the triangular mesh at each three-dimensional image; calculating a function of the ratio of areas of the corresponding triangular elements; creating a visualization of the region of interest of the subject's heart and making a determination of cardiac function of the subject's heart.