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    ARTICLE

    Feature Preserving Parameterization for Quadrilateral Mesh Generation Based on Ricci Flow and Cross Field

    Na Lei1, Ping Zhang2, Xiaopeng Zheng3,*, Yiming Zhu3, Zhongxuan Luo3

    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.1, pp. 843-857, 2023, DOI:10.32604/cmes.2023.027296

    Abstract We propose a new method to generate surface quadrilateral mesh by calculating a globally defined parameterization with feature constraints. In the field of quadrilateral generation with features, the cross field methods are well-known because of their superior performance in feature preservation. The methods based on metrics are popular due to their sound theoretical basis, especially the Ricci flow algorithm. The cross field methods’ major part, the Poisson equation, is challenging to solve in three dimensions directly. When it comes to cases with a large number of elements, the computational costs are expensive while the methods based on metrics are on… More > Graphic Abstract

    Feature Preserving Parameterization for Quadrilateral Mesh Generation Based on Ricci Flow and Cross Field

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