Effective optical processor for computing image moments at TV rate: use in handwriting recognition

Jacques Duvernoy; Yun-Long Sheng

doi:10.1364/AO.26.002320

Applied Optics
Vol. 26,
Issue 12,
pp. 2320-2327
(1987)
•https://doi.org/10.1364/AO.26.002320

Effective optical processor for computing image moments at TV rate: use in handwriting recognition

Jacques Duvernoy and Yun-Long Sheng

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Jacques Duvernoy and Yun-Long Sheng, "Effective optical processor for computing image moments at TV rate: use in handwriting recognition," Appl. Opt. 26, 2320-2327 (1987)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

An incoherent multiplexed optical processor is described that computes in real time the moments of images sensed by a TV camera and displayed on a monitor. The first ten moments are generated in parallel and are detected by a photodetector array. They are collected by a microcomputer for subsequent pattern recognition use. Calibration and resolution problems are discussed with regard to the effective 2% system accuracy. Its use in real-time processing of one hundred handwritten pages shows the processor to be a practical moment generator.

Full Article | PDF Article

More Like This

Hybrid processor to compute invariant moments for pattern recognition

David Casasent and Demetri Psaltis
Opt. Lett. 5(9) 395-397 (1980)

Real-time deformation invariant optical pattern recognition using coordinate transformations

David Casasent, Shao-Feng Xia, Andrew J. Lee, and Jian-Zhong Song
Appl. Opt. 26(5) 938-942 (1987)

Statistical recognition of color images

Zu-Han Gu, Sing H. Lee, and Y. Fainman
Appl. Opt. 26(15) 3145-3152 (1987)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (5)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (15)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

MASK	T₀₃	T₀₂	T₀₁	T₁₁	T₂₁	T₁₂	T₁₀	T₂₀	T₃₀
average transmittance T_pq	.45y³	.455y²	.494y	.343xy	.368x²y	.35xy²	.505x	.459x²	.486x³
standard deviation σ_{T_pq} (%)	1.3	1.3	1.6	.8	.6	.7	1.4	.9	1.3

CHANNEL	(0,3)	(0,2)	(0,1)	(1,1)	(2,1)	(1,2)	(1,0)	(2,0)	(3,0)
${\bar{K}}_{pq}$	.420	.437	.424	.411	.303	.347	.398	.676	.510
$Δ {\bar{K}}_{pq} / {\bar{K}}_{pq}$	1.4%	1.1%	1.5%	1.5%	2.4%	1.6%	1.9%	2.3%	1.6%



	ms	th	ms	th	ms	th	ms	th

m₀₀	0.03857	0.03788	0.01653	0.01681	0.02586	0.02632	0.02681	0.02632
m₀₁	0.02778	0.02721	0.01239	0.01284	0.01902	0.01926	0.01819	0.01768
m₁₀	0.02633	0.02622	0.01267	0.01255	0.01936	0.01983	0.01743	0.01800
m₁₁	0.01955	0.01891	0.00926	0.00961	0.01414	0.01454	0.01176	0.01205
m₀₂	0.02023	0.01970	0.00975	0.00985	0.01396	0.01416	0.01235	0.01194
m₂₀	0.01853	0.01829	0.00943	0.00941	0.01471	0.01501	0.01204	0.01238
m₁₂	0.01371	0.01373	0.00739	0.00738	0.01054	0.01072	0.00806	0.00812
m₂₁	0.01355	0.01324	0.00734	0.00721	0.01047	0.01103	0.00833	0.00826
m₀₃	0.01463	0.01437	0.00746	0.00757	0.01049	0.01047	0.00799	0.00811
m₃₀	0.01319	0.01286	0.00709	0.00707	0.01089	0.01141	0.00935	0.00856

ϕ₁	0.5279	0.2049	0.6831	0.2049	0.2766	0.2049	1.0070	0.2049

ϕ₂	0.6743	0.0099	10.6838	0.0099	0.2106	0.0099	0.9632	0.0099

ideal moment	standard deviation with \|Δm_pq/mpq\| < 1%		variations with image anamorphosis
ideal moment	standard deviation with \|Δm_pq/mpq\| < 1%		γ_y = .9	γ_y = .8	γ_y = .7	γ_y = .6	γ_y = .5
ϕ₁ = .002	Δϕ₁ = .0025	Δϕ₁	.002	.02	.05	.11	.22
ϕ₁ = .03	Δϕ₁ = .11	Δϕ₂	.01	.14	.43	1.01	3.08
ϕ₁ = .04	Δϕ₁ = .43	Δϕ₃	.00	.02	.08	.19	.41
ϕ₁ = .57	Δϕ₁ = 1.66	Δϕ₄	.18	.19	.12	1.07	3.52
ϕ₁ = 3.09	Δϕ₁ = 9.80	Δϕ₅	2.83	2.19	2.55	.38	12.34
ϕ₁ = .79	Δϕ₁ = 3.09	Δϕ₆	2.11 .	1.08	1.13	1.10	.80
ϕ₁ = .52	Δϕ₁ = 2.70	Δϕ₇	.10	.66	2.02	4.93	11.32

MASK	T₀₃	T₀₂	T₀₁	T₁₁	T₂₁	T₁₂	T₁₀	T₂₀	T₃₀
average transmittance T_pq	.45y³	.455y²	.494y	.343xy	.368x²y	.35xy²	.505x	.459x²	.486x³
standard deviation σ_{T_pq} (%)	1.3	1.3	1.6	.8	.6	.7	1.4	.9	1.3

Abstract

Cited By

Figures (8)

Tables (5)

Equations (15)

Applied Optics