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针对凸组合参数化方法难以处理具有孔洞的网格模型,以及对不规则边界的网格模型参数化的边界处变形较大的问题,提出了一种新的参数化方法,首先通过拟合变分隐式曲面修补网格上的孔洞,并构造出较规则的附加边界,最后采用凸组合参数化方法进行参数化.通过曲面拟合实验表明,该方法引入的附加数据作为曲面拟合数据,最终的拟合曲面在孔洞以及边界处具有较好的光顺性,且该方法已应用于复合材料成型模具快速设计中的参数化曲面构建.

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