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同伦法在逆向工程约束求解中的应用

DOI: 10.11834/jig.20070423

Keywords: 逆向工程,约束,同伦法,特征拟合

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Abstract:

逆向工程模型重建过程中,为了再现逼近特征之间固有的几何约束关系,应该在满足特定约束关系下对测量数据进行优化拟合,但在拟合时,由于迭代初值以及约束的不确定性,使得通常的牛顿迭代法有时难以得到收敛解。为解决上述问题,提出了一种应用同伦迭代法求解约束优化拟合方程的策略,该策略首先对部分约束进行合并处理,然后给出欠约束同伦的构造方法,并由局部曲率控制欠约束同伦迭代步长。实例结果显示,该方法能有效完成特定约束条件下数据优化拟合计算。

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