Adjoint Bijective ZoomOut: Efficient Upsampling for Learned Linearly-invariant Embedding
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Date
2023
Authors
Journal Title
Journal ISSN
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Publisher
The Eurographics Association
Abstract
In this paper, we present a novel method for refining correspondences between 3D point clouds. Our method is compatible with the functional map framework, so it relies on the spectral representation of the correspondence. Although, differently from other similar approaches, this algorithm is specifically for a particular functional setting, being the only refinement method compatible with a recent data-driven approach, more suitable for point cloud matching. Our algorithm arises from a different way of converting functional operators into point-to-point correspondence, which we prove to promote bijectivity between maps, exploiting a theoretical result. Iterating this procedure and performing spectral upsampling in the same way as other similar methods, ours increases the accuracy of the correspondence, leading to more bijective correspondences. We tested our method over different datasets. It outperforms the previous methods in terms of map accuracy in all the tests considered.
Description
CCS Concepts: Computing methodologies -> Computer graphics; Machine learning
@inproceedings{10.2312:stag.20231293,
booktitle = {Smart Tools and Applications in Graphics - Eurographics Italian Chapter Conference},
editor = {Banterle, Francesco and Caggianese, Giuseppe and Capece, Nicola and Erra, Ugo and Lupinetti, Katia and Manfredi, Gilda},
title = {{Adjoint Bijective ZoomOut: Efficient Upsampling for Learned Linearly-invariant Embedding}},
author = {Viganò, Giulio and Melzi, Simone},
year = {2023},
publisher = {The Eurographics Association},
ISSN = {2617-4855},
ISBN = {978-3-03868-235-6},
DOI = {10.2312/stag.20231293}
}