Bibliographic Information: Held, J., Vandeghen, R., Hamdi, A., Deliege, A., Cioppa, A., Giancola, S., Vedaldi, A., Ghanem, B., & Van Droogenbroeck, M. (2024). 3D Convex Splatting: Radiance Field Rendering with 3D Smooth Convexes. arXiv preprint arXiv:2411.14974.
Research Objective: This paper introduces 3D Convex Splatting (3DCS), a novel method for reconstructing radiance fields from multi-view images and synthesizing novel views using 3D smooth convex shapes as primitives. The research aims to address the limitations of existing methods, particularly 3D Gaussian Splatting (3DGS), in accurately representing complex scenes with hard edges and dense volumes.
Methodology: 3DCS leverages a point-based representation of 3D smooth convex shapes and employs a differentiable rendering pipeline. The pipeline includes projecting 3D points onto a 2D image plane, constructing a 2D convex hull, and defining a differentiable indicator function for rendering. The method utilizes an efficient CUDA-based rasterizer for real-time rendering and optimizes shape parameters using a loss function combining L1, D-SSIM, and a regularization term. An adaptive densification scheme refines the representation by splitting convex shapes based on sharpness loss.
Key Findings: 3DCS demonstrates superior performance compared to 3DGS and other primitive-based rendering methods on benchmarks like Mip-NeRF360, Tanks and Temples, and Deep Blending datasets. It achieves higher PSNR and lower LPIPS scores while using fewer primitives and maintaining high rendering speeds. The method excels in reconstructing indoor scenes with structured, flat surfaces and hard edges, outperforming 3DGS significantly.
Main Conclusions: 3DCS offers a more efficient and accurate approach to radiance field rendering than existing methods using Gaussian or other primitives. The use of 3D smooth convex shapes enables a more compact and physically meaningful representation of complex scenes, leading to higher-quality novel view synthesis.
Significance: This research significantly contributes to the field of computer graphics and computer vision by introducing a novel and effective primitive for radiance field representation. 3DCS has the potential to become a new standard for high-quality scene reconstruction and novel view synthesis, with applications in virtual reality, autonomous navigation, and other fields.
Limitations and Future Research: While 3DCS demonstrates advantages in representing structured environments, its performance in outdoor scenes dominated by natural elements requires further investigation. Future research could explore incorporating texture mapping and material properties into the 3D smooth convex representation for enhanced realism. Additionally, investigating the application of 3DCS in dynamic scene modeling and real-time applications presents promising avenues for future work.
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by Jan Held, Re... at arxiv.org 11-25-2024
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