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Efficient Optimization of Common Base Domains for Cross Parameterization

机译：通用基础域的高效优化以实现交叉参数化

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摘要

Given a set of corresponding user-specified anchor points on a pair of models having similar features and topologies, the cross parameterization technique can establish a bijective mapping constrained by the anchor points. In this paper, we present an efficient algorithm to optimize the complexes and the shape of common base domains in cross parameterization for reducing the distortion of the bijective mapping. The optimization is also constrained by the anchor points. We investigate a new signature, Length-Preserved Base Domain (LPBD), for measuring the level of stretch between surface patches in cross parameterization. This new signature well balances the accuracy of measurement and the computational speed. Based on LPBD, a set of metrics are studied and compared. The best ones are employed in our domain optimization algorithm that consists of two major operators, boundary swapping and patch merging. Experimental results show that our optimization algorithm can reduce the distortion in cross parameterization efficiently.
机译：给定在具有相似特征和拓扑的一对模型上的一组对应的用户指定的锚点，则交叉参数化技术可以建立受锚点约束的双射映射。在本文中，我们提出了一种有效的算法，可以优化交叉参数化中公共基域的复杂度和形状，以减少双射映射的失真。优化还受到锚点的约束。我们研究了一个新的签名，即长度保留的基域（LPBD），用于测量交叉参数化中的曲面补丁之间的拉伸程度。这个新的签名很好地平衡了测量的准确性和计算速度。基于LPBD，对一组指标进行了研究和比较。在我们的域优化算法中采用了最好的算法，该算法由两个主要运算符组成：边界交换和面片合并。实验结果表明，我们的优化算法可以有效地减少交叉参数化中的失真。

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