Abstract
In this paper, using certain conformal mappings from uniformization theory, we give an explicit method for unfolding surfaces which locally preserves the geometry. We moreover discuss area preserving flattenings, and those which have minimal distortion in the sense of preserving angles. These results may be used for various purposes in 3D medical visualization, in particular for the visualization of the brain surface in functional MR, and in virtual colonoscopy.
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Angenent, S., Haker, S., Tannenbaum, A., Kikinis, R. (2000). On Area Preserving Mappings of Minimal Distortion. In: Djaferis, T.E., Schick, I.C. (eds) System Theory. The Springer International Series in Engineering and Computer Science, vol 518. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5223-9_20
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DOI: https://doi.org/10.1007/978-1-4615-5223-9_20
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