On the injectivity of mean value mappings between quadrilaterals
<|reference_start|>On the injectivity of mean value mappings between quadrilaterals: Mean value coordinates can be used to map one polygon into another, with application to computer graphics and curve and surface modelling. In this paper we show that if the polygons are quadrilaterals, and if the target quadrilateral is convex, then the mapping is injective.<|reference_end|>
@article{floater2024on,
    title={On the injectivity of mean value mappings between quadrilaterals},
    author={Michael S. Floater and Georg Muntingh},
    journal={arXiv preprint arXiv:2407.00422},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.00422},
    primaryClass={math.NA cs.NA}
}