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arXiv 2201.06845cs.CV
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Taylor3DNet:基于地标点 Taylor 级数的快速三维形状推理

Taylor3DNet: Fast 3D Shape Inference With Landmark Points Based Taylor Series

ShanghaiTech University(上海科技大学);Shanghai Engineering Research Center of Intelligent Vision and Imaging(上海智能视觉与成像工程研究中心);Shanghai Engineering Research Center of Energy Efficient and Custom AI IC(上海高效节能定制人工智能芯片工程研究中心)

Yuting Xiao, Jiale Xu, Shenghua Gao

AI总结:

本文提出 Taylor3DNet,利用离散地标点及其 Taylor 级数系数表示三维隐式场,将查询点评估简化为低阶 Taylor 计算,从而在多种重建任务中显著加速且不降低精度。

摘要:

得益于连续表示能力,深度隐式函数能够以无限分辨率表示形状。然而,从隐式函数中提取高分辨率等值面需要对大量查询点前向传播一个参数量庞大的网络,从而限制了生成速度。受 Taylor 级数启发,我们提出 Taylor3DNet 以加速隐式形状表示的推理。Taylor3DNet 利用一组离散地标点及其对应的 Taylor 级数系数来表示三维形状的隐式场,且地标点数量与等值面提取的分辨率无关。一旦预测出与地标点对应的系数,对每个查询点的网络评估便可简化为利用若干最近地标点进行的低阶 Taylor 级数计算。基于这一高效表示,我们的 Taylor3DNet 相比经典的基于网络的隐式函数实现了显著更快的推理速度。我们在具有多种输入类型的重建任务上评估了该方法,结果表明,与最先进基线相比,我们的方法能够在不牺牲性能的情况下大幅提升推理速度。

英文摘要:

Benefiting from the continuous representation ability, deep implicit functions can represent a shape at infinite resolution. However, extracting high-resolution iso-surface from an implicit function requires forward-propagating a network with a large number of parameters for numerous query points, thus preventing the generation speed. Inspired by the Taylor series, we propose Taylo3DNet to accelerate the inference of implicit shape representations. Taylor3DNet exploits a set of discrete landmark points and their corresponding Taylor series coefficients to represent the implicit field of a 3D shape, and the number of landmark points is independent of the resolution of the iso-surface extraction. Once the coefficients corresponding to the landmark points are predicted, the network evaluation for each query point can be simplified as a low-order Taylor series calculation with several nearest landmark points. Based on this efficient representation, our Taylor3DNet achieves a significantly faster inference speed than classical network-based implicit functions. We evaluate our approach on reconstruction tasks with various input types, and the results demonstrate that our approach can improve the inference speed by a large margin without sacrificing the performance compared with state-of-the-art baselines.

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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