Pixel-Level Mapping Method Based on Digital Micromirror Imaging System

Weijing Wang; Fumin Zhang; Wei Feng; Xinghua Qu

doi:10.3788/AOS201737.1211001

Journals >Acta Optica Sinica >Volume 37 >Issue 12 >Page 1211001 > Article

Acta Optica Sinica
Vol. 37, Issue 12, 1211001 (2017)

Pixel-Level Mapping Method Based on Digital Micromirror Imaging System

Weijing Wang, Fumin Zhang^*, Wei Feng, and Xinghua Qu

Author Affiliations

State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China

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DOI: 10.3788/AOS201737.1211001 Cite this Article Set citation alerts

Weijing Wang, Fumin Zhang, Wei Feng, Xinghua Qu. Pixel-Level Mapping Method Based on Digital Micromirror Imaging System[J]. Acta Optica Sinica, 2017, 37(12): 1211001 Copy Citation Text

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Fig. 1. Light path of the system

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Fig. 2. Flow chart of BP algorithm

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Fig. 3. Calibration images. (a) DMD upload image; (b) image received by CCD

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Fig. 4. Error calibration test images. (a) DMD upload image; (b) image received by CCD

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No.	x	y	x'	y'	\|x-x'\|	\|y-y'\|	$\begin{matrix} \sqrt[]{{(x - x')}^{2} + {(y - y')}^{2}} \end{matrix}$
1	720	641	721.3	643.0	1.3	2.0	2.3854
2	630	801	631.2	803.4	1.2	2.4	2.6833
3	585	881	586.1	884.1	1.1	3.1	3.2894
4	496	881	498.1	884.3	2.1	3.3	3.9115
5	585	1040	585.9	1042.6	0.9	2.6	2.7514
6	630	1120	631.7	1123.3	1.7	3.3	3.7121
7	451	1120	453.8	1122.6	2.8	2.6	3.8210
8	361	1280	363.6	1283.0	2.6	3.0	3.9699
9	271	1440	273.5	1442.5	2.5	2.5	3.5355
	θ				1.8	2.7556	3.3399

Table 1. Error of DLT algorithm

No.	x	y	x'	y'	\|x-x'\|	\|y-y'\|	$\begin{matrix} \sqrt[]{{(x - x')}^{2} + {(y - y')}^{2}} \end{matrix}$
1	720	641	719.5634	641.5	0.4366	0.5	0.6638
2	630	801	630.0204	801.4	0.0204	0.4	0.4005
3	585	881	585.0883	881.8	0.0883	0.8	0.8049
4	496	881	497.5571	882.1	1.5571	1.1	1.9064
5	585	1040	584.4102	1039.6	0.5898	0.4	0.7126
6	630	1120	629.7063	1119.6	0.2937	0.4	0.4962
7	451	1120	452.4780	1119.7	1.4780	0.3	1.5081
8	361	1280	361.6559	1279.9	0.6559	0.1	0.6635
9	271	1440	270.4040	1439.2	0.5960	0.8	0.9976
	θ				0.6351	0.5333	0.9060

Table 2. Error of polynomial algorithm

No.	x	y	x'	y'	\|x-x'\|	\|y-y'\|	$\begin{matrix} \sqrt[]{{(x - x')}^{2} + {(y - y')}^{2}} \end{matrix}$
1	864	713	863.0200	710.5751	0.9800	2.4249	2.6155
2	879	525	874.3533	523.0070	4.6467	1.9930	5.0561
3	951	665	948.8224	664.0306	2.1776	0.9694	2.3836
4	958	572	954.3788	571.3168	3.6212	0.6832	3.6851
5	1115	664	1113.1360	664.6202	1.8644	0.6202	1.9649
6	1121	572	1118.9430	572.2007	2.0572	0.2007	2.0670
7	1195	712	1192.2370	711.4545	2.7631	0.5455	2.8164
8	1208	524	1204.2530	525.9572	3.7470	1.9572	4.2270
9	1353	805	1352.9920	804.4541	0.0081	0.5459	0.5460
	θ				2.4295	1.1045	2.8180

Table 3. Error of neural network BP algorithm

Weijing Wang, Fumin Zhang, Wei Feng, Xinghua Qu. Pixel-Level Mapping Method Based on Digital Micromirror Imaging System[J]. Acta Optica Sinica, 2017, 37(12): 1211001

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