| 摘要: |
| 相机外部参数插值是三维场景漫游等应用中的关键技术之一.由于相机外部参数矩阵构成的空间不是线性的,传统的方法主要对相机外部参数矩阵中的平移变换和旋转变换部分分开考虑从而导致插值的不自然.提出了基于李代数表示的相机外部参数插值算法,首先把相机外部参数矩阵直接映射到李代数空间,然后在李代数空间进行线性插值,最后把插值后的中间变换矩阵逆映射到相机外部参数矩阵空间,从而得到一系列的插值结果.实验结果表明,与传统的在相机外部参数矩阵空间直接对相机进行线性插值以及与四元数插值相比,算法得到的插值相机序列更加光滑,并且更加符合人们漫游的观察习惯. |
| 关键词: 李代数 相机外部参数插值 参数空间 |
| DOI： |
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| 基金项目:国家自然科学基金(U1035004, 61173070); 国家重点基础研究发展计划(973)(2009CB320802); 山东省自然科学杰出青年基金(JQ200920) |
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| Camera Extrinsic Parameters Interpolation Algorithm Based on Lie Algebra Representation |
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WANG Guo-Feng1, ZHONG Fan1,2, DU Zhen-Jia1, QIN Xue-Ying1,2
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1.School of Computer Science and Technology, Shandong University, Ji'nan 250101, China;2.Shandong Provincial Key Laboratory of Software Engineering, Ji'nan 250101, China
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| Abstract: |
| The camera extrinsic parameters interpolation is one of the key technologies in the application of 3D scene roaming etc. Since the space constructed by camera extrinsic parameters is not linear, the traditional methods usually decompose the parameters into translation and rotation transformation, resulting in unnaturalness for interpolation. This paper presents a camera extrinsic parameters interpolation algorithm based on Lie Algebra. Firstl, the study transforms the camera extrinsic parameters matrix into a Lie Algebra space; then a linear interpolation in that space is finished; finally, the inverse transformation of the interpolation matrix into the space of camera extrinsic parameters obtains a series of sequence of interpolation result. Experiments show that, compared with the traditional interpolation directly in the space of camera extrinsic parameters and the interpolation based on quaternion, the interpolation sequences obtained by this algorithm is smoother and more in line with the people's observation habits. |
| Key words: Lie algebra camera extrinsic parameters interpolation parameter space |
