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arXiv 2003.12283cs.LGcs.CGcs.GRstat.ML
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LIMP:基于度量保持先验的潜在形状表示学习

LIMP: Learning Latent Shape Representations with Metric Preservation Priors

Sapienza University of Rome(罗马第一大学);University of Lugano(卢加诺大学);Technion - Israel Institute of Technology(以色列理工学院)

Luca Cosmo, Antonio Norelli, Oshri Halimi, Ron Kimmel, Emanuele Rodolà

摘要:

在本文中,我们主张通过度量保存作为一个强大的先验学习潜在的变形三维形状的表示。我们的建设的关键是引入一个几何失真的标准,直接定义的解码形状,翻译保存的度量解码的线性路径的形成在底层的潜在空间。我们的基本原理在于观察到,单独的训练样本通常不足以赋予生成模型高保真度,从而激发了对大型训练数据集的需求。相比之下,度量保留提供了一种严格的方法来控制潜在空间的构造中产生的几何失真的量,从而导致更高质量的合成样本。我们进一步证明,第一次,通过可微的内在距离的测地线损失的反向传播。我们的几何先验在缺乏训练数据的情况下特别相关,在这种情况下,学习任何有意义的潜在结构都特别具有挑战性。我们的生成模型的有效性和潜力展示在风格转移,内容生成和形状完成的应用程序。

英文摘要:

In this paper, we advocate the adoption of metric preservation as a powerful prior for learning latent representations of deformable 3D shapes. Key to our construction is the introduction of a geometric distortion criterion, defined directly on the decoded shapes, translating the preservation of the metric on the decoding to the formation of linear paths in the underlying latent space. Our rationale lies in the observation that training samples alone are often insufficient to endow generative models with high fidelity, motivating the need for large training datasets. In contrast, metric preservation provides a rigorous way to control the amount of geometric distortion incurring in the construction of the latent space, leading in turn to synthetic samples of higher quality. We further demonstrate, for the first time, the adoption of differentiable intrinsic distances in the backpropagation of a geodesic loss. Our geometric priors are particularly relevant in the presence of scarce training data, where learning any meaningful latent structure can be especially challenging. The effectiveness and potential of our generative model is showcased in applications of style transfer, content generation, and shape completion.

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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