Parametrising flat-foldable surfaces with incomplete dataMS22

We propose a novel way of computing surface folding maps via solving PDEs. This framework is a generalisation to the existing quasiconformal methods but allows manipulation of the geometry of folding. Moreover, the crucial quantity that characterises the geometry occurs as the coefficient of the equation, namely the Beltrami coefficient. This allows us to solve an inverse problem of parametrising the folded surface when only partial data and the folding geometry are given.

This presentation is part of Minisymposium “MS22 - Mapping problems in imaging, graphics and vision (3 parts)
organized by: Ronald Lui (Chinese University of Hong Kong) , Ke Chen (University of Liverpool) .

Ronald Lui (Chinese University of Hong Kong)
Di Qiu (The Chinese University of Hong Kong)