A Novel Scheme for Efficient Cross-Parameterization

Existing cross-parameterization approaches suffer from several problems: low robustness, slow speed, hard to balance compatible mesh’s detail and complexity. These difficulties reduce its usefulness. In this paper, we propose a new scheme to solve these problems. Utilizing the inherent relationship between patch-generation and cross-parameterization, we compute compatible triangle 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 compatible remeshing directly and quickly. Only areas around high-stretch and salient vertices are refined, so compatible mesh’s complexity can be well controlled. Moreover, our scheme survives several extreme cases that can cause failure in previous approaches.