基于单幅图像的三维自由曲面浮雕生成

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

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。

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.