Optical laboratory morphological inspection processor

Elizabeth Botha; Jeffrey Richards; David P. Casasent

doi:10.1364/AO.28.005342

Applied Optics
Vol. 28,
Issue 24,
pp. 5342-5350
(1989)
•https://doi.org/10.1364/AO.28.005342

Optical laboratory morphological inspection processor

Elizabeth Botha, Jeffrey Richards, and David P. Casasent

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Elizabeth Botha, Jeffrey Richards, and David P. Casasent, "Optical laboratory morphological inspection processor," Appl. Opt. 28, 5342-5350 (1989)

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Abstract

Morphological transformations are applied to industrial inspection problems. A real time optical architecture to implement morphological transformations such as erosion, opening, closing, and skeletonization is described and analyzed. The first real time optical laboratory results of erosion and opening are presented for locating string in tobacco.

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Image	Signal pixels	Noise pixels	SNR (dB)
Erosions:
Fig.3a	0	1	0
Fig.3b	142	16	18.96
Fig.3c	135	16	18.52

Openings:
Fig.4a	0	1	0
Fig.4b	527	78	16.60
Fig.4c	651	no	15.44

Skeletons:
Fig.5a	0	1	0
Fig.5b	159	21	17.58
Fig.5c	218	38	15.18

Red Channel Epson Color LCTV Physical Parameters	Red Channel Fourier Transform Parameters	Epson Color LCTV Fourier Transform Optical Parameters
d_x = 160 μm	Max Size _x = 0.51 mm	Flatness = <1λ
d_y = 130 μm	Max Size _y = 1.90 mm	CR(red)= 15.6:1
s_x = 480 μm	Replication _x = 0.51 mm	CR(grn)=10.4:l
s_y = 130 μm	Replication _y = 1.90 mm	CR(blue)=15:l
a_x = 38.4 mm	Spot Size _x = 6.3μm	Linearity=6.8%
a_y = 28.6 mm	Spot Size _y = 8.5 μm
x pixels = 80	f_l = 385 mm
y pixels = 220	λ = 632.8 nm

NOTATION:
d_x,d_y = pixel size		CR=Contrast Ratio
s_x,s_y = ctr-to-ctr
distance of pixels
a_x,a_y = aperture size

Input	Maximu Hough Peak (Intensity)	Hough Peak (θ,p)	PSR (in dB)
Original data:
Fig 2a	56	many	0
Fig 2b	77	(11,59)	0.67
Fig 2c	101	(135,46)	6.44
Opened data:
Fig 4a	7	many	0
Fig 4b	63	(11,59)	6.06
Fig 4c	82	(144,47)	10.32
Skeleton data:
Fig 5a	1	many	0
Fig 5b	36	(7,59)	8.20
Fig 5c	49	(145,47)	12.21

Image	Signal pixels	Noise pixels	SNR (dB)
Erosions:
Fig.3a	0	1	0
Fig.3b	142	16	18.96
Fig.3c	135	16	18.52

Openings:
Fig.4a	0	1	0
Fig.4b	527	78	16.60
Fig.4c	651	no	15.44

Skeletons:
Fig.5a	0	1	0
Fig.5b	159	21	17.58
Fig.5c	218	38	15.18

Red Channel Epson Color LCTV Physical Parameters	Red Channel Fourier Transform Parameters	Epson Color LCTV Fourier Transform Optical Parameters
d_x = 160 μm	Max Size _x = 0.51 mm	Flatness = <1λ
d_y = 130 μm	Max Size _y = 1.90 mm	CR(red)= 15.6:1
s_x = 480 μm	Replication _x = 0.51 mm	CR(grn)=10.4:l
s_y = 130 μm	Replication _y = 1.90 mm	CR(blue)=15:l
a_x = 38.4 mm	Spot Size _x = 6.3μm	Linearity=6.8%
a_y = 28.6 mm	Spot Size _y = 8.5 μm
x pixels = 80	f_l = 385 mm
y pixels = 220	λ = 632.8 nm

NOTATION:
d_x,d_y = pixel size		CR=Contrast Ratio
s_x,s_y = ctr-to-ctr
distance of pixels
a_x,a_y = aperture size

Abstract

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Figures (10)

Tables (3)

Equations (10)

Applied Optics