$\infty$-Brush: Controllable Large Image Synthesis with Diffusion Models in Infinite Dimensions

• URL: http://arxiv.org/abs/2407.14709v1
• Date: Sat, 20 Jul 2024 00:04:49 GMT
• Title: $\infty$-Brush: Controllable Large Image Synthesis with Diffusion Models in Infinite Dimensions
• Authors: Minh-Quan Le, Alexandros Graikos, Srikar Yellapragada, Rajarsi Gupta, Joel Saltz, Dimitris Samaras,
• Abstract summary: We introduce a novel conditional diffusion model in infinite dimensions, $infty$-Brush for controllable large image synthesis. To our best knowledge, $infty$-Brush is the first conditional diffusion model in function space, that can controllably synthesize images at arbitrary resolutions of up to $4096times4096$ pixels.
• Score: 58.42011190989414
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Synthesizing high-resolution images from intricate, domain-specific information remains a significant challenge in generative modeling, particularly for applications in large-image domains such as digital histopathology and remote sensing. Existing methods face critical limitations: conditional diffusion models in pixel or latent space cannot exceed the resolution on which they were trained without losing fidelity, and computational demands increase significantly for larger image sizes. Patch-based methods offer computational efficiency but fail to capture long-range spatial relationships due to their overreliance on local information. In this paper, we introduce a novel conditional diffusion model in infinite dimensions, $\infty$-Brush for controllable large image synthesis. We propose a cross-attention neural operator to enable conditioning in function space. Our model overcomes the constraints of traditional finite-dimensional diffusion models and patch-based methods, offering scalability and superior capability in preserving global image structures while maintaining fine details. To our best knowledge, $\infty$-Brush is the first conditional diffusion model in function space, that can controllably synthesize images at arbitrary resolutions of up to $4096\times4096$ pixels. The code is available at https://github.com/cvlab-stonybrook/infinity-brush.

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