Lossless-INR: Lossless Volumetric Implicit Neural Representations

Authors

Kaiyuan Tang (University of Notre Dame), Daniel Burke (University of Notre Dame), Chaoli Wang (University of Notre Dame)

Presentation

Session
Big Data, Bigger Physics
Time
Friday, Nov 13, 08:27 – 08:36 (US/Eastern) · session 08:00 – 09:30
Location
Hall America south

Keywords

Volume visualization; implicit neural representation; lossless volumetric representation

Abstract

Implicit neural representation (INR) methods provide continuous coordinate-to-value mappings and integrate naturally with direct volume rendering, making them attractive for representing volumetric data. However, existing INR-based approaches for volumetric data are inherently lossy, and even small reconstruction errors can propagate through rendering and downstream analysis. In this work, we explore Lossless-INR, a lossless INR framework for 3D scientific volumetric data based on bit-plane decomposition. By decomposing each voxel value into binary bit-planes, we reformulate reconstruction as per-bit binary classification, so that exact recovery reduces to predicting every bit correctly. To make this optimization tractable while keeping the representation compact, we combine an octree block-partitioning strategy that adaptively subdivides complex regions with a ternary feature-grid network whose grid entries are parameterized by a ternary set of values. Experiments on diverse volumetric datasets show that this design can achieve zero bit-error rate and bit-exact reconstruction, enabling faithful rendering and downstream analysis with a compact representation. The code is available at https://github.com/TouKaienn/Lossless-INR.

For Practitioners

This paper would be of interest to practitioners working with large-scale scientific volumetric data, including simulation scientists, scientific visualization practitioners, computational scientists, medical-imaging researchers, and HPC/data-management practitioners. They could apply the proposed lossless INR framework to represent, store, transmit, and render volumetric datasets compactly while preserving bit-exact voxel values, which is important for faithful visualization, reproducible analysis, and downstream computations sensitive to reconstruction errors.