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.