1. Grounding and Enhancing Grid-based Models for Neural Fields
- Author
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Zhao, Zelin, Fan, Fenglei, Liao, Wenlong, and Yan, Junchi
- Subjects
Computer Science - Computer Vision and Pattern Recognition - Abstract
Many contemporary studies utilize grid-based models for neural field representation, but a systematic analysis of grid-based models is still missing, hindering the improvement of those models. Therefore, this paper introduces a theoretical framework for grid-based models. This framework points out that these models' approximation and generalization behaviors are determined by grid tangent kernels (GTK), which are intrinsic properties of grid-based models. The proposed framework facilitates a consistent and systematic analysis of diverse grid-based models. Furthermore, the introduced framework motivates the development of a novel grid-based model named the Multiplicative Fourier Adaptive Grid (MulFAGrid). The numerical analysis demonstrates that MulFAGrid exhibits a lower generalization bound than its predecessors, indicating its robust generalization performance. Empirical studies reveal that MulFAGrid achieves state-of-the-art performance in various tasks, including 2D image fitting, 3D signed distance field (SDF) reconstruction, and novel view synthesis, demonstrating superior representation ability. The project website is available at https://sites.google.com/view/cvpr24-2034-submission/home., Comment: CVPR24 Oral & Best Paper Award Candidate. Pre-rebuttal scores: 555. Post-rebuttal scores: 555
- Published
- 2024