Zero-Shot Image Feature Consensus with Deep Functional Maps

Fuente: arXiv
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Autori principali: Cheng, Xinle, Deng, Congyue, Harley, Adam, Zhu, Yixin, Guibas, Leonidas
Natura: Preprint
Pubblicazione: 2024
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author Cheng, Xinle
Deng, Congyue
Harley, Adam
Zhu, Yixin
Guibas, Leonidas
author_facet Cheng, Xinle
Deng, Congyue
Harley, Adam
Zhu, Yixin
Guibas, Leonidas
contents Correspondences emerge from large-scale vision models trained for generative and discriminative tasks. This has been revealed and benchmarked by computing correspondence maps between pairs of images, using nearest neighbors on the feature grids. Existing work has attempted to improve the quality of these correspondence maps by carefully mixing features from different sources, such as by combining the features of different layers or networks. We point out that a better correspondence strategy is available, which directly imposes structure on the correspondence field: the functional map. Wielding this simple mathematical tool, we lift the correspondence problem from the pixel space to the function space and directly optimize for mappings that are globally coherent. We demonstrate that our technique yields correspondences that are not only smoother but also more accurate, with the possibility of better reflecting the knowledge embedded in the large-scale vision models that we are studying. Our approach sets a new state-of-the-art on various dense correspondence tasks. We also demonstrate our effectiveness in keypoint correspondence and affordance map transfer.
format Preprint
id arxiv_https___arxiv_org_abs_2403_12038
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Zero-Shot Image Feature Consensus with Deep Functional Maps
Cheng, Xinle
Deng, Congyue
Harley, Adam
Zhu, Yixin
Guibas, Leonidas
Computer Vision and Pattern Recognition
Correspondences emerge from large-scale vision models trained for generative and discriminative tasks. This has been revealed and benchmarked by computing correspondence maps between pairs of images, using nearest neighbors on the feature grids. Existing work has attempted to improve the quality of these correspondence maps by carefully mixing features from different sources, such as by combining the features of different layers or networks. We point out that a better correspondence strategy is available, which directly imposes structure on the correspondence field: the functional map. Wielding this simple mathematical tool, we lift the correspondence problem from the pixel space to the function space and directly optimize for mappings that are globally coherent. We demonstrate that our technique yields correspondences that are not only smoother but also more accurate, with the possibility of better reflecting the knowledge embedded in the large-scale vision models that we are studying. Our approach sets a new state-of-the-art on various dense correspondence tasks. We also demonstrate our effectiveness in keypoint correspondence and affordance map transfer.
title Zero-Shot Image Feature Consensus with Deep Functional Maps
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2403.12038