Nov 28, 2022
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In this work, we present a novel non-rigid shape matching framework based on multi-resolution functional maps with spectral attention. Indeed, existing functional map learning methods all rely on a choice of the critical spectral resolution hyper-parameter, which can severely affect the overall accuracy or lead to overfitting, if not chosen carefully. In this paper, we show that spectral resolution tuning can be alleviated by introducing spectral attention. Our framework is applicable in both supervised and unsupervised settings, and we show that it is possible to train the network so that it can adapt the spectral resolution, depending on the given shape input. More specifically, we propose to compute multi-resolution functional maps that characterize correspondence across a wide range of spectral resolution, and introduce a spectral attention network that helps to combine this representation into a single coherent final correspondence. Our approach is not only accurate with near-isometric input, for which a high spectral resolution is typically preferred, but also robust and able to produce reasonable matching even in the presence of significant distortion, which poses great challenges to existing methods. We demonstrate the superior performance of our approach through experiments on a suite of challenging non-rigid shape matching benchmarks, including a new non-isometric correspondence dataset.In this work, we present a novel non-rigid shape matching framework based on multi-resolution functional maps with spectral attention. Indeed, existing functional map learning methods all rely on a choice of the critical spectral resolution hyper-parameter, which can severely affect the overall accuracy or lead to overfitting, if not chosen carefully. In this paper, we show that spectral resolution tuning can be alleviated by introducing spectral attention. Our framework is applicable in both su…
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