Abstract: There is described herein a method for recovering missing information in diffusion magnetic resonance imaging (dMRI) data. The data are modeled according to the theory of moving frames and regions where frame information is missing are reconstructed by performing diffusions into the regions. Local orthogonal frames computed along the boundary of the regions are rotated into the regions. Connection parameters are estimated at each new data point obtained by a preceding rotation, for application to a subsequent rotation.

Abstract: The identification and determination of aspects of the construction of a patient's heart is important for cardiologists and cardiac surgeons in the diagnosis, analysis, treatment, and management of cardiac patients. For example minimally invasive heart surgery demands knowledge of heart geometry, heart fiber orientation, etc. While medical imaging has advanced significantly the accurate three dimensional (3D) rendering from a series of imaging slices remains a critical step in the planning and execution of patient treatment. Embodiments of the invention construct using diffuse MRI data 3D renderings from iterating connections forms derived from arbitrary smooth frame fields to not only corroborate biological measurements of heart fiber orientation but also provide novel biological views in respect of heart fiber orientation etc.

Abstract: There is described herein a method for recovering missing information in diffusion magnetic resonance imaging (dMRI) data. The data are modeled according to the theory of moving frames and regions where frame information is missing are reconstructed by performing diffusions into the regions. Local orthogonal frames computed along the boundary of the regions are rotated into the regions. Connection parameters are estimated at each new data point obtained by a preceding rotation, for application to a subsequent rotation.

Abstract: The identification and determination of aspects of the construction of a patient's heart is important for cardiologists and cardiac surgeons in the diagnosis, analysis, treatment, and management of cardiac patients. For example minimally invasive heart surgery demands knowledge of heart geometry, heart fiber orientation, etc. Whilst medical imaging has advanced significantly the accurate three dimensional (3D) rendering from a series of imaging slices remains a critical step in the planning and execution of patient treatment. Embodiments of the invention construct using diffuse MRI data 3D renderings from iterating connections forms derived from arbitrary smooth frame fields to not only corroborate biological measurements of heart fiber orientation but also provide novel biological views in respect of heart fiber orientation etc.