基于单幅图像的三维自由曲面浮雕生成

系统仿真学报 ›› 2015, Vol. 27 ›› Issue (12): 3012-3017.

基于单幅图像的三维自由曲面浮雕生成

孟悦, 周明全, 税午阳, 武仲科

北京师范大学,北京 100875

收稿日期:2015-06-14 修回日期:2015-08-09 出版日期:2015-12-08 发布日期:2020-07-30
作者简介:孟悦(1991-),女,硕士生,研究方向为虚拟现实与可视化技术;周明全(1954-),男,教授,博导,研究方向为虚拟现实与可视化技术等。
基金资助:
国家自然科学基金(61202198, .61402042); 中央高校基本科研业务费(2013YB70, 2013YB72); 国家科技支撑计划(2012BAH33F04)

Three-dimensional Relief Generation on Freedom Surface Based on Monocular Image

Meng Yue, Zhou Mingquan, Shui Wuyang, Wu Zhongke

Department of Information Technology of Beijing Normal University, Beijing 100875, China

Received:2015-06-14 Revised:2015-08-09 Online:2015-12-08 Published:2020-07-30

摘要/Abstract

摘要： 为了保护易受到侵蚀与损坏的浮雕文物,运用单幅图像的三维重建技术生成三维浮雕模型,即利用SFS(Shape From Shading)方法估计浮雕模型的深度矩阵,再通过滤波变换和模型叠加对矩阵进行修复。大多数浮雕的载体表面是不规则的曲面,需要将估计得到的深度矩阵映射到曲面载体模型上。将载体模型放到黎曼几何空间中,通过指数映射将指定位置、大小的局部区域参数化。进而通过纹理映射原理,改变相应顶点坐标,实现三维模型变化。设计实现了生成浮雕文物的半自动化方法,对不同模型的复原适应性良好。

关键词: 浮雕复原, 三维重建, 曲面映射, 黎曼几何曲面, 指数映射

Abstract: For better protection of relief relics which was apt to be corroded and destroyed, the three-dimensional reconstruction technology was utilized to reconstruct 3D model from monocular image. Namely, the SFS (Shape From Shading) method estimated metric depth of relief model according to monocular image, and then restored it using filter transformation and model superposition. For most relief, their carrier surface was irregular curved surface, so estimated metric depth should be map to curved surface. The carrier model was put into Riemannian geometry space, parameterizing local region which position and size was assigned using exponential map. Corresponding vertex coordinate was changed according to texture map theory realizing the transformation of 3D model. The semi-automatic method of relief restoration was designed and realized, and the method has well adaptability for different models.

Key words: relief restoration, 3D reconstruction, curved surface mapping, riemannian geometry, exponential mapping

中图分类号:

TP311.51A

孟悦, 周明全, 税午阳, 武仲科. 基于单幅图像的三维自由曲面浮雕生成[J]. 系统仿真学报, 2015, 27(12): 3012-3017.

Meng Yue, Zhou Mingquan, Shui Wuyang, Wu Zhongke. Three-dimensional Relief Generation on Freedom Surface Based on Monocular Image[J]. Journal of System Simulation, 2015, 27(12): 3012-3017.

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