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新论文 · v1arXiv:2611.16212

SPEM: Scan-Prior Entropy Modeling for LiDAR Point Cloud Compression

Bojun Liu, Yangzhi Ma, Jie Li, Dong Liu, Li Li

原文摘要

LiDAR point clouds exhibit scan-induced spatial regularities that are informative for geometry compression. Existing scan-aware approaches often exploit these regularities by transforming coded geometry into spherical or beam-aligned coordinate systems. However, this couples acquisition priors with geometry representation, altering spatial partitioning and quantization, and potentially preventing exact recovery of the original Cartesian geometry. We argue that acquisition priors should guide probability modeling rather than dictate the coding representation. We propose SPEM, a Scan-Prior Entropy Modeling framework that exploits LiDAR scanning regularities within the entropy model without requiring coordinate transformation. We introduce a multi-frequency spherical rotary positional encoding that captures scan-aligned spatial relationships in both backbone self-attention and decoded-context retrieval. Building upon this encoding, we develop a decoded-memory autoregressive predictor that efficiently exploits previously decoded occupancy information through reusable key/value caches. Experiments demonstrate state-of-the-art performance in both lossy and lossless LiDAR geometry compression, highlighting the effectiveness of scan-prior modeling across different coordinate representations.

cs.CV

新论文 · v1arXiv:2611.15084

Parallel Spanning Forest and Biconnectivity for Well-Connected Graph in Sub-Logarithmic Time

Bojun Liu, S. Cliff Liu, Shuaibo Yang

原文摘要

We give a randomized ARBITRARY CRCW PRAM algorithm for computing a spanning forest of an \(n\)-vertex, \(m\)-edge graph. Let \(d\) be the maximum component diameter. With good probability, the algorithm runs in \(O(\log d+\log\log n)\) time using \(O(m+n)\) processors and outputs a rooted spanning forest of original edges with maximum depth \(2^{O(\log d+\log\log n)}\). For finding bridges, our algorithm identifies every bridge edge in \(O(\log d+\log\log n)\) time. For biconnectivity, it outputs all blocks in \(O(\log d+\log d'+\log\log n)\) time, where \(d'\) is the bi-diameter. All these problems are fundamental in graph algorithms with numerous applications. Our results improve the best previous time bounds parameterized by the number of vertices and diameter. Finally, we prove deterministic \(Ω(\log n/\log\log n)\) lower bounds for outputting a DFS Sequence, a weighted spanning forest, and an ear decomposition.

cs.DS