Area-Preserving Mappings for the Visualization of Medical Structures

In this note, we present a method for flattening anatomical surfaces such as branched vessels and intestinal tracts in an area-preserving way. This method is based on the theory of optimal mass transport and conformal mapping of surfaces. The flattened representations differ minimally from conformality in a certain precise sense. Potential applications include the detection and visualization of pathologies such as stenoses and polyps.

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