arXiv:2606.20684cs.CV2026-06

用保角映射实现无剪切的360度视口放大,提升观看区域画质。

Shear-Free Viewport Magnification for 360-Degree via Spherical Mobius Boosts

论文配图:Shear-Free Viewport Magnification for 360-Degree via Spherical Mobius Boosts
图 1 · 摘自论文原文
  • 采用球面莫比乌斯变换实现无剪切的视口聚焦采样重分配。
  • 视口PSNR平均提升3.23分贝,95%置信区间为[+3.15, +3.33]dB。
  • 适合高精度目标视口场景,不确定性高时需弱化使用。

视口自适应的360度成像旨在将固定采样预算分配给用户可能关注的区域。现有视口偏置投影通过非保角变形提升视口分辨率,但会引入各向异性拉伸和剪切。本文将球面莫比乌斯提升(Spherical Mobius Boosts)建模为固定预算下精确的保角映射,其连续球面变形具有准保角膨胀系数K=1,可在不破坏局部角度的前提下将样本重新分配至目标方向。在包含72张全景图与216组视口目标的SUN360显著性审计中,C1莫比乌斯提升在所有配对案例中均优于优化偏移立方体图,在案例级中位数提升+3.26 dB,图像级中位数提升+3.23 dB,全景级自助法95%置信区间为[+3.15, +3.33] dB。帕累托分析表明,此方法并非无代价的全局质量提升:C1以牺牲全球WS-PSNR为代价换取无剪切视口保真度。预测误差与滤波研究揭示了适用范围:强提升适用于精准目标视口,而目标不确定性大时应采用弱提升或回退策略。这些结果表明,莫比乌斯提升应作为预测条件下的视锥采样重分配几何原语,而非通用编码布局。

原文摘要 · Abstract (English)

Viewport-adaptive 360-degree imaging seeks to allocate a fixed sampling budget to the region a viewer is likely to observe. Existing view-biased projections increase viewport resolution through non-conformal warps, which can introduce anisotropic stretching and shear. We formulate spherical Mobius boosts as exact conformal maps for fixed-budget viewport magnification. The continuous spherical warp has quasiconformal dilatation K = 1, reallocating samples toward a target direction while preserving local angles. On a SUN360 saliency audit with 72 panoramas and 216 paired viewport targets, C1 Mobius boosting improves viewport PSNR over optimized offset cubemap on all paired cases, with case-level median gain +3.26 dB, image-level median gain +3.23 dB, and panorama-level bootstrap 95% CI [+3.15, +3.33] dB. Pareto analysis shows that this is not a free global-quality improvement: C1 trades full-sphere WS-PSNR for shear-free viewport fidelity. Prediction-error and filtering studies identify the operating envelope: strong boosts are useful for accurately targeted viewports, while large target uncertainty calls for weaker boosts or fallback. These results position Mobius boosting as a geometric primitive for prediction-conditioned foveated 360-degree resampling rather than a universal encode-once layout.

360度成像保角映射视口聚焦莫比乌斯变换

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