干涉测量波面重构DCT算法研究

王永伟; 艾华; 卓仁善; 曹艳波

doi:10.3788/CO.20140706.1012

Volume 7 Issue 6

Nov. 2014

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Chinese Optics > 2014 > 7(6): 1012-1018.

WANG Yong-wei, AI Hua, ZHUO Ren-shan, CAO Yan-bo. Wavefront reconstruction of interferometry by DCT algorithm[J]. Chinese Optics, 2014, 7(6): 1012-1018. doi: 10.3788/CO.20140706.1012

Citation:

WANG Yong-wei, AI Hua, ZHUO Ren-shan, CAO Yan-bo. Wavefront reconstruction of interferometry by DCT algorithm[J]. Chinese Optics, 2014, 7(6): 1012-1018. doi: 10.3788/CO.20140706.1012

WANG Yong-wei, AI Hua, ZHUO Ren-shan, CAO Yan-bo. Wavefront reconstruction of interferometry by DCT algorithm[J]. Chinese Optics, 2014, 7(6): 1012-1018. doi: 10.3788/CO.20140706.1012

Citation:

WANG Yong-wei, AI Hua, ZHUO Ren-shan, CAO Yan-bo. Wavefront reconstruction of interferometry by DCT algorithm[J]. Chinese Optics, 2014, 7(6): 1012-1018. doi: 10.3788/CO.20140706.1012

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Wavefront reconstruction of interferometry by DCT algorithm

doi: 10.3788/CO.20140706.1012

1.
Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, Changchun 130033, China;
2.
University of Chinese Academy of Sciences, Beijing 100049, China;
3.
Air Force Military Delegate Office in Changchun, Changchun 130012, China

Received Date: 15 Sep 2014
Rev Recd Date: 17 Oct 2014
Publish Date: 25 Nov 2014

Abstract

Abstract

We use a type of interferometer with space phase-shifting technique to measure the optical surface of the concave aspheric mirror in this paper. By using polarized elements and multi-image collected in synchronism we implement the phase-shifting process, and we adopt the phase unwrapping algorithm based on discrete cosine transform(DCT) onto the interferograms that we measured. For the discontinuous phase distribution, we adopt the un-weighted least square method to optimize the objective function, and finally reconstruct the wavefront surface of the measured optical surface. This type of interferometer has the capacity of anti-vibration, and can optimize the algorithm in the digital image processing procedure, so we can get the measured surface shape rapidly and steadily, and it is no need for high performance hardware. This approach can be used as optical measurement out of laboratory conditions, and we can get high measuring precision under the condition of disturbance existing.
- interferometry,
- discrete cosine transform(DCT),
- phase unwrapping,
- least square method,
- surface fitting

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References(1)

References

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