An Invariant Representation of Coupler Curves Using a Variational AutoEncoder: Application to Path Synthesis of Four-Bar Mechanisms
An Invariant Representation of Coupler Curves Using a Variational AutoEncoder: Application to Path Synthesis of Four-Bar Mechanisms
复制标题
使用变分自动编码器的耦合器曲线的不变表示：在四杆机构路径综合中的应用
DOI：
10.1115/1.4063726
复制
发表时间：
2024
影响因子：
3.1
通讯作者：
Purwar, Anurag
中科院分区：
文献类型：
--
作者：
Nurizada, Anar;Purwar, Anurag
本文重点研究使用深度神经网络的平面机构耦合器曲线的表示和合成。虽然平面机构的路径综合不是一个新问题，但耦合器曲线在神经网络背景下的有效表示尚未得到充分探索。本研究比较了四杆耦合器曲线的四种常用特征或表示：傅立叶描述符、小波、点坐标和图像。结果表明，可以使用称为变分自动编码器（VAE）的生成式人工智能框架来统一这些不同的表示。这项研究表明，无论输入表示如何，VAE 都可以提供耦合器曲线的独立表示，并且 VAE 的紧凑潜在维度可用于描述四连杆机构的耦合器曲线。此外，还提出了一种利用 VAE 与全连接神经网络相结合来生成四连杆机构尺寸参数的新方法。这项研究为机器人和机器机构的自动化概念设计提供了一个新的机会。
This paper focuses on the representation and synthesis of coupler curves of planar mechanisms using a deep neural network. While the path synthesis of planar mechanisms is not a new problem, the effective representation of coupler curves in the context of neural networks has not been fully explored. This study compares four commonly used features or representations of four-bar coupler curves: Fourier descriptors, wavelets, point coordinates, and images. The results demonstrate that these diverse representations can be unified using a generative AI framework called variational autoencoder (VAE). This study shows that a VAE can provide a standalone representation of a coupler curve, regardless of the input representation, and that the compact latent dimensions of the VAE can be used to describe coupler curves of four-bar linkages. Additionally, a new approach that utilizes a VAE in conjunction with a fully connected neural network to generate dimensional parameters of four-bar linkage mechanisms is proposed. This research presents a novel opportunity for the automated conceptual design of mechanisms for robots and machines.