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arXiv 2602.05602cs.CV
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非经典几何模型的多实例稳健拟合

Multi-instance robust fitting for non-classical geometric models

College of Computer Engineering, Jimei University(计算机工程学院,嘉敏大学)

Zongliang Zhang, Shuxiang Li, Xingwang Huang, Zongyue Wang

AI总结:

本文提出了一种基于模型到数据误差的非经典几何模型多实例稳健拟合方法,通过元启发式算法优化处理噪声数据。

摘要:

现有的稳健拟合方法大多针对经典模型设计,如直线、圆和平面。相比之下,针对非经典模型(如螺旋曲线、程序化人物模型和自由曲面)的稳健处理方法较少。此外,现有方法主要专注于重建单个非经典模型实例。本文旨在从噪声数据中重建多个非经典模型实例。我们将多实例拟合任务 formulation 为一个优化问题,该问题包含一个估计器和一个优化器。具体来说,我们提出了一种基于模型到数据误差的新型估计器,能够处理无预定义误差阈值的异常值。由于所提出的估计器对模型参数是非可微的,我们采用元启发式算法作为优化器来寻找全局最优解。通过在各种非经典模型上的实验结果证明了我们方法的有效性。代码可在 https://github.com/zhangzongliang/fitting 上获得。

英文摘要:

Most existing robust fitting methods are designed for classical models, such as lines, circles, and planes. In contrast, fewer methods have been developed to robustly handle non-classical models, such as spiral curves, procedural character models, and free-form surfaces. Furthermore, existing methods primarily focus on reconstructing a single instance of a non-classical model. This paper aims to reconstruct multiple instances of non-classical models from noisy data. We formulate this multi-instance fitting task as an optimization problem, which comprises an estimator and an optimizer. Specifically, we propose a novel estimator based on the model-to-data error, capable of handling outliers without a predefined error threshold. Since the proposed estimator is non-differentiable with respect to the model parameters, we employ a meta-heuristic algorithm as the optimizer to seek the global optimum. The effectiveness of our method are demonstrated through experimental results on various non-classical models. The code is available at https://github.com/zhangzongliang/fitting.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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