4.7 Article

Efficient convex optimization-based texture mapping for large-scale 3D scene reconstruction

Journal

INFORMATION SCIENCES
Volume 556, Issue -, Pages 143-159

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2020.12.052

Keywords

Image-based texture mapping; Multi-label problem; Convex optimization

Funding

  1. National Natural Science Foundation of China [61772213, 61976227, 91748204, 61877047]
  2. Wuhan Science and Technology Plan [2017010201010121]
  3. Shenzhen Science and Technology Plan [JCYJ20170818165917438]

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The proposed mesh-based continuous max-flow approach improves visual quality and computational efficiency in large-scale texture mapping for 3D scene reconstruction. It utilizes MRF and Potts models to mathematically formulate view selection problems and effectively solve challenging combinatorial optimization problems. The approach defines criteria for evaluating texture quality using visual effects and partitions large 3D triangular meshes to reduce memory consumption.
Texture mapping is a key step in large-scale 3D scene reconstruction, which can greatly enhance visual reality of the reconstructed scenes. However, existing techniques are unable to accomplish this task efficiently due to the high computational complexity of reconstructing large-scale real-world 3D scenes. In this work, we propose a new efficient convex optimization-based approach, i.e. the mesh-based continuous max-flow method, which can be easily implemented and accelerated upon a modern parallel computing platform, e.g. GPU. Particularly, an Markov Random Fields (MRF) based model, i.e. Potts model, is introduced to mathematically formulate the key specific view selection problem; we show that the challenging combinatorial optimization problem can be efficiently solved by resolving its convex relaxation, which recovers textures from images with the proposed duality-based continuous max-flow approach. In addition, visual effects of sharpness and deformation are utilized to define a criterion of evaluating texture quality effectively, and a large 3D triangular mesh is partitioned into structural components so as to reduce memory consumption of the proposed algorithm. The proposed mesh-based continuous max-flow approach for large-scale texture mapping demonstrates its outperformance over state-of-the-art methods, over large-scale public datasets, in both numerical efficiency and visual quality; meanwhile, our GPU-accelerated algorithm can yield 3D textured models with high quality from complex large-scale scenes in minutes. (C) 2020 Elsevier Inc. All rights reserved.

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