eess.IVSep 10, 2025

Deep Unrolling of Sparsity-Induced RDO for 3D Point Cloud Attribute Coding

Authors: Tam Thuc DoPhilip A. ChouGene Cheung

Organizations: department of EECS, York University, 4700 Keele Street, Toronto, M3J 1P3, Canada

Abstract

Given encoded 3D point cloud geometry available at the decoder, we study the problem of lossy attribute compression in a multi-resolution B-spline projection framework. A target continuous 3D attribute function is first projected onto a sequence of nested subspaces Fl0(p)FL(p)\mathcal{F}^{(p)}_{l_0} \subseteq \cdots \subseteq \mathcal{F}^{(p)}_{L}, where Fl(p)\mathcal{F}^{(p)}_{l} is a family of functions spanned by a B-spline basis function of order pp at a chosen scale and its integer shifts. The projected low-pass coefficients FlF_l^* are computed by variable-complexity unrolling of a rate-distortion (RD) optimization algorithm into a feed-forward network, where the rate term is the sparsity-promoting 1\ell_1-norm. Thus, the projection operation is end-to-end differentiable. For a chosen coarse-to-fine predictor, the coefficients are then adjusted to account for the prediction from a lower-resolution to a higher-resolution, which is also optimized in a data-driven manner.

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