用图像生成方法设计新型连杆机构，支持轨迹与速度双重控制。
Creative synthesis of kinematic mechanisms
- 将连杆机构设计转为跨域图像生成任务，用颜色梯度编码运动速度。
- 在四杆、滑块曲柄及多环复杂机构上验证有效，生成新运动曲线。
- 适合机械设计自动化、创意工程领域，可扩展至齿轮凸轮等结构。
本文将平面连杆机构的运动综合问题转化为跨域图像生成任务。我们构建了一个基于RGB图像表示的平面连杆机构数据集，涵盖从简单类型如曲柄摇杆和曲柄滑块到复杂八杆机构（如Jansen机构）在内的多种机制。采用共享潜空间变分自编码器（VAE），探索图像生成模型在合成未见运动轨迹和模拟新运动学方面的潜力。通过将轨迹点绘制速度编码为颜色梯度，该架构同时支持基于轨迹形状和速度分布的条件化运动综合。我们在三个复杂度递增的数据集上验证方法：标准四杆机构集、四杆与曲柄滑块混合集，以及包含多环机构的复杂集。初步结果表明，基于图像的表示方法在生成式机械设计中具有有效性，能够在统一图像生成框架内表示并合成含旋转副、移动副，甚至可能含凸轮与齿轮的机构。
原文摘要 · Abstract (English)
In this paper, we formulate the problem of kinematic synthesis for planar linkages as a cross-domain image generation task. We develop a planar linkages dataset using RGB image representations, covering a range of mechanisms: from simple types such as crank-rocker and crank-slider to more complex eight-bar linkages like Jansen's mechanism. A shared-latent variational autoencoder (VAE) is employed to explore the potential of image generative models for synthesizing unseen motion curves and simulating novel kinematics. By encoding the drawing speed of trajectory points as color gradients, the same architecture also supports kinematic synthesis conditioned on both trajectory shape and velocity profiles. We validate our method on three datasets of increasing complexity: a standard four-bar linkage set, a mixed set of four-bar and crank-slider mechanisms, and a complex set including multi-loop mechanisms. Preliminary results demonstrate the effectiveness of image-based representations for generative mechanical design, showing that mechanisms with revolute and prismatic joints, and potentially cams and gears, can be represented and synthesized within a unified image generation framework.
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