A new mathematical approach to mapping surfaces
The motivation – Imagine trying to compare brain data across multiple subjects. A fundamental problem is to find the correspondence (or map) between one part of a cerebral cortex to the same part of another cortex. This is a difficult task because brains are different sizes and shapes. The uniqueness of each person’s brain depends on characteristics such as age, health, and stature. More generally, finding a map from locations on any surface to locations on any other surface is a problem of interest in numerous fields.