Existing cross-parameterization approaches

suffer from several problems: low robustness, slow speed,

hard to balance compatible mesh’s detail and complex-

ity. These difficulties reduce its usefulness. In this paper,

we propose a new scheme to solve these problems. Utiliz-

ing the inherent relationship between patch-generation

and cross-parameterization, we compute compatible tri-

angle patch layouts on input models. Compared with

previous approaches, our method is more robust and

much faster. Then we use our active cross-parameterization

to obtain high-quality inter-surface mappings and com-

patible remeshing directly and quickly. Only areas around

high-stretch and salient vertices are refined, so compati-

ble mesh’s complexity can be well controlled. Moreover,

our scheme survives several extreme cases that can cause

failure in previous approaches.