透视投影下的非朗伯光度立体技术

李敏; 刁常宇; 许端清; 邢卫; 鲁东明

doi:10.1631/FITEE.1900156

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透视投影下的非朗伯光度立体技术

常规文章 | Updated：2022-05-19

- 透视投影下的非朗伯光度立体技术
- A non-Lambertian photometric stereo under perspective projection
- 信息与电子工程前沿（英文） 2020年21卷第8期页码：1191-1205
- Affiliations：
  
  College of Computer Science and Technology, Zhejiang University, Hangzhou 310027, China
  School of Art and Archeology, Zhejiang University, Hangzhou 310027, China
- Author bio：
  
  [ "Min LI, E-mail: liminlim@126.com" ]
  Chang-yu DIAO, E-mail:dcy@zju.edu.cn
- Funds：
  
  Project supported by the Technological Program of Cultural Relics Preservation of Zhejiang Province, China, the Key Research and Development Program of Zhejiang Province, China (No. 2018C03051), and the National Standard Development Program of Cultural Relics Protection of China (No. 581250-T0170B)
- DOI：10.1631/FITEE.1900156
  中图分类号： TP391.4
- 收稿：2019-03-19，
  
  修回：2019-11-12，
  
  网络出版：2019-12-21，
  
  纸质出版：2020-08
- Accepted：
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李敏, 刁常宇, 许端清, 等. 透视投影下的非朗伯光度立体技术[J]. 信息与电子工程前沿（英文）, 2020,21(8):1191-1205.

Min LI, Chang-yu DIAO, Duan-qing XU, et al. A non-Lambertian photometric stereo under perspective projection[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(8): 1191-1205.
李敏, 刁常宇, 许端清, 等. 透视投影下的非朗伯光度立体技术[J]. 信息与电子工程前沿（英文）, 2020,21(8):1191-1205. DOI： 10.1631/FITEE.1900156.

Min LI, Chang-yu DIAO, Duan-qing XU, et al. A non-Lambertian photometric stereo under perspective projection[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(8): 1191-1205. DOI： 10.1631/FITEE.1900156.

摘要

在透视投影假设下，非朗伯光度立体技术是一个高度非线性问题。本文提出一种透视投影下基于非朗伯反射模型的表面法线和深度重构优化框架。将图像分解为漫反射分量和镜面分量，可同时计算表面法向量和反射率。此外提出一个变分公式，其在表面重构中表现出鲁棒性与有益性。实验结果表明，所提方法能准确重构非朗伯曲面彩色物体表面形状并计算出物体表面的反射率。

Abstract

Under the perspective projection assumption

non-Lambertian photometric stereo is a highly non-linear problem. In this study

we present an optimized framework for reconstructing the surface normal and depth with non-Lambertian reflection models under perspective projection. By decomposing the images into diffuse and specular components

we compute the surface normal and reflectance simultaneously. We also propose a variational formulation that is robust and useful for surface reconstruction. The experiments show that our method accurately reconstructs both the surface shape and reflectance of colorful objects with non-Lambertian surfaces.

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references

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