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基于 Phong 模型的多幅图像 SFS 算法研究

张宁 杨磊

计算机技术与发展Issue(1):9-12,4.
计算机技术与发展Issue(1):9-12,4.DOI:10.3969/j.issn.1673-629X.2013.01.003

基于 Phong 模型的多幅图像 SFS 算法研究

Research on Algorithm of SFS for Multi-images Based on Phong Model

张宁 1杨磊1

作者信息

  • 1. 上海大学 机电工程与自动化学院,上海 200072
  • 折叠

摘要

Abstract

Three-dimensional (3 -D) shape reconstruction is one of the main problems in the field of computer vision. Most existing Shape-From-Shading (SFS) methods are based on the Lambertian reflectance model. The mathematical form of Lambertian reflectance model is simple,but reconstruction results of corresponding algorithms are relative poor compared with real 3-D shape of surfaces. New SFS algorithm based on the Phong model to reconstruct 3D shape of surface is proposed in this paper. The Phong model is a typical kind of non-Lambertian model to describe specular reflection. Three images with different light source directions are captured by camera first-ly. Following three reflectance map equations which are described by Phong model are established. Then the gradient vectors of the 3-D surface are calculated by solving the equations. The gray constraint and gradient component constraint conditions are used to construct tar-get function,and the corresponding Eulor-Poision equations are derived. Simultaneously,discrete difference is used to approximate differ-ential operation. New iterative 3-D shape reconstruction algorithm is proposed by the discrete difference equation. Three pixels values are used to solve certain gradient value in this method. So the ill-posed problem in traditional SFS which solves a single reflectance map e-quation can be avoided. At the same time,the algorithm solves the reflectance map equations which based on non-Lambertian model. So the proposed method can reconstruct 3D shape of surface containing specular reflection. At last,experimental results of 3-D reconstruction show that the proposed method is effective.

关键词

Phong 模型/三维重建/Shape-From-Shading/反射图方程

Key words

Phong model/3-D shape reconstruction/Shape-From-Shading/reflection map equation

分类

信息技术与安全科学

引用本文复制引用

张宁,杨磊..基于 Phong 模型的多幅图像 SFS 算法研究[J].计算机技术与发展,2013,(1):9-12,4.

基金项目

国家自然科学基金资助项目(61005015) (61005015)

上海高校青年教师培养资助计划项目 ()

计算机技术与发展

OACSTPCD

1673-629X

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