基于小波变换的拼接重叠区域融合方法

刘丁枭; 盛伟繁

doi:10.11884/HPLPB201830.180020

基于小波变换的拼接重叠区域融合方法

doi: 10.11884/HPLPB201830.180020

刘丁枭^{1, 2,},
盛伟繁^{1, 2, ,}

1.
中国科学院高能物理研究所, 北京 100049
2.
中国科学院大学, 北京 100049

基金项目:

国家自然科学青年基金项目 11005123

详细信息

作者简介:
刘丁枭(1990－), 男，博士研究生，从事光学测量等方面研究；liudx@ihep.ac.cn

通讯作者:
盛伟繁(1962－), 男，研究员，博士生导师，从事同步辐射光学及光束线技术等方面研究；shengwf@ihep.ac.cn

中图分类号: O439
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- 文章访问数: 1032
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- 被引次数: 0
出版历程
- 收稿日期: 2018-01-17
- 修回日期: 2018-04-18
- 刊出日期: 2018-08-15

Fusion of the stitching interferometer overlapping areas

Liu Dingxiao^{1, 2
,},
Sheng Weifan^{1, 2
, ,}

1.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
2.
University of Chinese Academy of Sciences, Beijing 100049, China

摘要

摘要: 为了解决大口径光学元件面形高精度测量问题，建立了拼接测量系统，通过测量得到整体表面面形。在拼接测量过程中，需要将待测面形进行划分，按着一定的顺序进行测量，再根据各个子口径之间的相对位置进行拼接。各个子口径存在重叠部分，采用均化的处理方法会导致高频面形数据的丢失。采用小波变换的拼接重叠区域融合方法可以减少高频数据的丢失。首先，对各个子口径的重叠区域分别进行小波变换得到低频和高频系数矩阵；然后，根据不同的方法对低频和高频系数矩阵进行融合得到新的系数矩阵；最后，通过小波逆变换得到整体面形。对尺寸为120 mm×40 mm的长方形反射镜面形进行拼接干涉测量，并用功率谱密度对本文方法和平均融合结果进行客观比较。实验结果表明，该方法可以保留更多的高频面形数据。
- 拼接干涉仪 /
- 大口径光学元件 /
- 小波融合 /
- 功率谱密度曲线
Abstract: In order to achieve the measurement of large-aperture mirrors with high precision, the stitching interferometer system is established, the whole surface is obtained. The basic theory of stitching measurement technology is to divide the whole test mirror into several parts, and then measure the surface of each part respectively, and finally stitch these surfaces of different parts together. In the process of stitching measurement, overlapping areas between different local surface shapes use mean method of fusing overlapping areas would reduce the high-frequency components. First of all, the original overlapping areas surface shape goes through the wavelet transformation, resulting in low frequency coefficients and high frequency coefficients; Then, low frequency coefficients and high frequency coefficients is determined by different fusion rules; in the end, Finally, overlapping area surface shape is obtained by wavelet inverse transformation. This paper discusses the stitching interferometer test on a 120 mm×40 mm rectangular reflection mirror, in which fusion of overlapping areas has average method as well as the proposed algorithm, and also uses power spectral density conduct an objective comparison on the fusion results. The result of this experiment shows that the proposed algorithm fusion has better effects to improves the retention of high-frequency than the conventional methods.
- stitching interferometer /
- large optical elements /
- wavelet fusion /
- power spectral density curve

HTML全文

图 1 两个相邻局部面形机械定位相对准确

Figure 1. Two adjacent partial surfaces register accurate

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图 2 两个相邻局部械定位精度不高

Figure 2. Two adjacent partial surfaces register inaccurate

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图 3 基于小波变换拼接融合过程图

Figure 3. Fusion of stitching interferometer overlapping areas based on wavelet transformation

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图 4 拼接实验

Figure 4. Stitching measurement

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图 5 拼接测量路径

Figure 5. Stitching routine of measurement

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图 6 小波变换方法融合面形结果

Figure 6. Results obtained by using wavelet transformation algorithm

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图 7 均化方法融合面形结果

Figure 7. Results obtained by using mean algorithm

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图 8 融合面形结果PSD分析

Figure 8. PSD curve of the surface

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参考文献(17)

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