Stylish and Functional: Guided Interpolation Subject to Physical Constraints
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Abstract (arXiv)
Generative AI is revolutionizing engineering design practices by enabling rapid prototyping and manipulation of designs. One example of design manipulation involves taking two reference design images and using them as prompts to generate a design image that combines aspects of both. Real engineering designs have physical constraints and functional requirements in addition to aesthetic design considerations. Internet-scale foundation models commonly used for image generation, however, are unable to take these physical constraints and functional requirements into consideration as part of the generation process. We consider the problem of generating a design inspired by two input designs, and propose a zero-shot framework toward enforcing physical, functional requirements over the generation process by leveraging a pretrained diffusion model as the backbone. As a case study, we consider the example of rotational symmetry in generation of wheel designs. Automotive wheels are required to be rotationally symmetric for physical stability. We formulate the requirement of rotational symmetry by the use of a symmetrizer, and we use this symmetrizer to guide the diffusion process towards symmetric wheel generations. Our experimental results find that the proposed approach makes generated interpolations with higher realism than methods in related work, as evaluated by Fr'echet inception distance (FID). We also find that our approach generates designs that more closely satisfy physical and functional requirements than generating without the symmetry guidance.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 8 of its 28 references that are in the map. First posted on arXiv 20 Dec 2024.
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References · 8
- 2021LoRA: Low-Rank Adaptation of Large Language Modelscited by 14,380
- 2020Denoising Diffusion Implicit Modelscited by 9,781
- 2021Zero-Shot Text-to-Image Generationcited by 4,288
- 2022Zero-Shot Image Restoration Using Denoising Diffusion Null-Space Modelcited by 583
- 2017GANs Trained by a Two Time-Scale Update Rule Converge to a Local Nash Equilibriumcited by 213
- 2017Stabilizing Training of Generative Adversarial Networks through Regularizationcited by 118
- 2023Interpolating between Images with Diffusion Modelscited by 38
- 2024Transferable and Principled Efficiency for Open-Vocabulary Segmentationcited by 3
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- 2024CAD-Prompted Generative Models: A Pathway to Feasible and Novel Engineering Designs
- 2024A Dataset for Mechanical Mechanisms
- 2023Aligning Optimization Trajectories with Diffusion Models for Constrained Design Generation
- 2023On the Noise Scheduling for Generating Plausible Designs with Diffusion Models
- 2025Deep Generative Methods and Tire Architecture Design
- 2023Automating Computational Design with Generative AI
- 2025AI Agents in Engineering Design: A Multi-Agent Framework for Aesthetic and Aerodynamic Car Design
- 2025DeepWheel: Generating a 3D Synthetic Wheel Dataset for Design and Performance Evaluation