2022
DOI: 10.48550/arxiv.2201.07890
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Convolutional Neural Networks for Spherical Signal Processing via Spherical Haar Tight Framelets

Abstract: In this paper, we develop a general theoretical framework for constructing Haar-type tight framelets on any compact set with a hierarchical partition. In particular, we construct a novel area-regular hierarchical partition on the 2-sphere and establish its corresponding spherical Haar tight framelets with directionality. We conclude by evaluating and illustrate the effectiveness of our area-regular spherical Haar tight framelets in several denoising experiments. Furthermore, we propose a convolutional neural n… Show more

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References 26 publications
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