arXiv Computer Vision By Linus Franke

Hierarchical Incremental Beta Splatting for Online Reconstruction

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Hierarchical Incremental Beta Splatting (HIBS) introduces beta kernels into online 3D Gaussian splatting, allowing the shape parameter to interpolate between soft Gaussian-like primitives and flat-topped, near-opaque surfels. This confidence-aware spawning uses geometric observability and multi-view depth agreement to initialize opacity and shape, producing solid primitives where geometry is verifiable and soft, correctable primitives elsewhere. HIBS also employs error-driven relocation for densification, bounded beta kernel support for efficient culling and rasterization, and a shape-preserving merging formulation to create a level-of-detail hierarchy, achieving up to 0.8 dB PSNR improvement and 40 % faster optimization on the Mip-NeRF 360 dataset.

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