Vector-Matrix Tensor Ring Radiance Fields for Novel View Synthesis

LI Yingge; LONG Zhen; GOU Yixin; LIN Xinyu; ZHU Ce

doi:10.12263/DZXB.20260225

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Vector-Matrix Tensor Ring Radiance Fields for Novel View Synthesis

更新时间：2026-06-15

- Vector-Matrix Tensor Ring Radiance Fields for Novel View Synthesis
- ACTA ELECTRONICA SINICA Pages: 1-12(2026)
- 作者机构：
  
  1.电子科技大学信息与通信工程学院，四川成都 611731
  2.重庆大学微电子与通信工程学院，重庆 401331
- 作者简介：
- 基金信息：
  
  Natural Science Foundation of Sichuan Province(2025ZNSFSC0002);National Natural Science Foundation of China(62401102;62401112)
- DOI：10.12263/DZXB.20260225
  CLC： TP391;
- Received：13 April 2026，
  
  Accepted：20 May 2026，
  
  Online First：15 June 2026，
- 稿件说明：
移动端阅览
LI Yingge, LONG Zhen, GOU Yixin, et al. Vector-Matrix Tensor Ring Radiance Fields for Novel View Synthesis[J/OL]. ACTA ELECTRONICA SINICA, 2026, 1-12.
DOI：

LI Yingge, LONG Zhen, GOU Yixin, et al. Vector-Matrix Tensor Ring Radiance Fields for Novel View Synthesis[J/OL]. ACTA ELECTRONICA SINICA, 2026, 1-12. DOI： 10.12263/DZXB.20260225.

摘要

基于张量的辐射场方法通过张量回归建立输入（三维空间位置）与输出（体密度、外观特征）之间的映射关系，依托紧凑的场景表示，在保持高质量渲染效果的同时，显著提升了新视图合成效率。然而，现有方法无论是采用传统张量分解还是张量链（Tensor Train，TT）分解，均难以充分挖掘三维场景空间结构信息，对场景深层特征刻画不足。针对这一问题，本文在向量-矩阵（Vector-Matrix，VM）分解框架的基础上，引入张量环（Tensor Ring，TR）分解，提出了向量-矩阵张量环辐射场（Vector-Matrix Tensor Ring Radiance Fields，VMTR-RF）模型用于新视图合成。与现有的张量辐射场方法不同，VMTR分解采用分层建模策略：首先，利用VM分解将场景表示为一系列向量与矩阵因子外积的组合，实现对三维场景的初步紧凑表示；随后，将向量矩阵因子重组为高阶张量，并利用TR分解将其表示为多个核张量构成的张量环网络，从而更充分地捕获三维场景深层特征信息。得益于VMTR分解的优势，VMTR-RF在体密度估计和外观特征学习方面表现出更强的建模能力；最后，利用体渲染技术，结合学习到的体密度与外观特征合成新视图。实验结果表明，VMTR-RF优于现有最先进方法，尤其在保持细节方面表现突出，能够更好地重建锐利边缘、复杂结构和自然纹理，在保持紧凑场景表示的同时实现了更高质量的新视图合成结果。

Abstract

Tensor-based radiance field methods established a mapping between inputs (3D spatial positions) and outputs (volume density and appearance features) via tensor regression. These methods relied on compact scene representations and significantly improved the efficiency of novel view synthesis while maintaining high-quality rendering results. However

existing approaches

whether based on conventional tensor decomposition or tensor train (TT) decomposition

are unable to fully exploit structural information in 3D scene space

thereby limiting the representation of deep-level features. To address this issue

we introduced tensor ring (TR) decomposition into the vector-matrix (VM) decomposition framework and proposed a vector-matrix tensor ring radiance fields (VMTR-RF) model for novel view synthesis. Unlike existing tensor radiance field methods

VMTR decomposition adopted a hierarchical modeling strategy: VM decomposition was first used to represent the scene as a combination of outer products of multiple vector and matrix factors

enabling an initial compact representation of the 3D scene. The vector-matrix factors were then reorganized into high-order tensors and further decomposed using TR decomposition

resulting in a tensor ring network composed of multiple core tensors

thereby enabling more effective capture of deep-level features in 3D scenes. Benefiting from the VMTR decomposition

VMTR-RF exhibited stronger modeling capability in volume density estimation and appearance feature learning. Finally

novel view synthesis was performed using volume rendering by combining the learned volume density and appearance features. Experimental results demonstrated that VMTR-RF outperformed existing state-of-the-art methods

particularly in detail preservation

enabling better reconstruction of sharp edges

complex structures

and natural textures

while achieving higher-quality novel view synthesis with a compact scene representation.

关键词

Keywords

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