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Volumetric 3D Point Cloud Attribute Compression: Learned polynomial bilateral filter for prediction

2023-11-22Unverified0· sign in to hype

Tam Thuc Do, Philip A. Chou, Gene Cheung

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Abstract

We extend a previous study on 3D point cloud attribute compression scheme that uses a volumetric approach: given a target volumetric attribute function f : R^3 R, we quantize and encode parameters that characterize f at the encoder, for reconstruction f_((x)) at known 3D points (x) at the decoder. Specifically, parameters are quantized coefficients of B-spline basis vectors _l (for order p 2) that span the function space F_l^(p) at a particular resolution l, which are coded from coarse to fine resolutions for scalability. In this work, we focus on the prediction of finer-grained coefficients given coarser-grained ones by learning parameters of a polynomial bilateral filter (PBF) from data. PBF is a pseudo-linear filter that is signal-dependent with a graph spectral interpretation common in the graph signal processing (GSP) field. We demonstrate PBF's predictive performance over a linear predictor inspired by MPEG standardization over a wide range of point cloud datasets.

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