Bottom-up Modeling of Repeated Elements via Single Image Analysis-by-Synthesis

๐Ÿ“… 2026-09-07
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๐Ÿ“ Abstract
We address the problem of discovering repeated elements from a single image. In contrast to existing approaches that depend on large annotated datasets, curated multi-image collections, or object segmentation masks, we show that a single image can suffice to learn a meaningful object model in a completely bottom-up fashion, without any prior knowledge beyond a coarse scale prior. Our method learns a tunable image-space prototype of the repeated elements through a reconstruction objective, enabling the model to identify and synthesize consistent object instances within the same image. Experiments on 116 real images from the FSC-147 dataset demonstrate that our method successfully learns coherent element models and captures intra-category variation on challenging images. Qualitative results reveal superior reconstructions and interpretable decompositions compared to classical decomposition, joint alignment, and 3D object modeling methods, while maintaining a simple 2D formulation. These results suggest that meaningful object discovery can emerge from single image learning alone.
Problem

Research questions and friction points this paper is trying to address.

repeated elements
single image
bottom-up
object discovery
Innovation

Methods, ideas, or system contributions that make the work stand out.

bottom-up learning
single image analysis
reconstruction objective
intra-category variation
image-space prototype
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