This study presents a ball center alignment method based on the Michelson interferometer where one of the reflecting mirrors is replaced by a lens and steel ball. By locating the ball away from the focal length of the lens, the beam is reflected as a spherical wave. The interference ring formed by the planar and spherical waves can be clearly observed using a camera without a lens. The distance of the offset of the ball center can be enhanced by more than 140% using this method. A fast ring profile fitting method can reduce circle fitting time to around a third of that needed for Hough transformation.

1.
C.-H.
Liu
,
W.-Y.
Jywe
, and
H.-W.
Lee
,
Meas. Sci. Technol.
15
(
9
),
1733
(
2004
).
2.
C.-H.
Liu
,
W.-Y.
Jywe
,
S.-C.
Tzeng
, and
Y.-S.
Lin
,
Opt. Eng.
44
(
9
),
097003
097006
(
2005
).
3.
S.
Osawa
,
T.
Takatsuji
,
H.
Noguchi
, and
T.
Kurosawa
,
Precis. Eng.
26
(
2
),
214
221
(
2002
).
4.
W.
Jywe
,
T.-H.
Hsu
, and
C. H.
Liu
,
Int. J. Mach. Tools Manuf.
59
,
16
23
(
2012
).
5.
H.
Schwenke
,
W.
Knapp
,
H.
Haitjema
,
A.
Weckenmann
,
R.
Schmitt
, and
F.
Delbressine
,
CIRP Ann.-Manuf. Technol.
57
(
2
),
660
675
(
2008
).
6.
E. B.
Hughes
,
A.
Wilson
, and
G. N.
Peggs
,
CIRP Ann.-Manuf. Technol.
49
(
1
),
391
394
(
2000
).
7.
J.
Santolaria
,
J.-J.
Aguilar
,
J.-A.
Yagüe
, and
J.
Pastor
,
Precis. Eng.
32
(
4
),
251
268
(
2008
).
8.
E.
Trapet
,
J.-J.
Aguilar Martín
,
J.-A.
Yagüe
,
H.
Spaan
, and
V.
Zelený
,
Precis. Eng.
30
(
2
),
165
179
(
2006
).
9.
S.
Osawa
,
T.
Takatsuji
,
J.
Hong
,
H.
Noguchi
, and
T.
Kurosawa
,
Proc. SPIE
4401
,
127
135
(
2001
).
10.
J.
Burke
,
K.
Green
,
W.
Stuart
,
E.
Puhanic
,
A.
Leistner
, and
B.
Oreb
,
Proc. SPIE
7064
,
70640E
(
2008
).
11.
S.-W.
Yang
,
C.-S.
Lin
, and
S.-K.
Lin
,
Opt. Lasers Eng.
51
(
4
),
348
357
(
2013
).
12.
J.
Burke
,
Opt. Express
17
(
5
),
3242
3254
(
2009
).
13.
J.
Burke
and
D. S.
Wu
,
Appl. Opt.
49
(
31
),
6014
6023
(
2010
).
14.
U.
Griesmann
,
Q.
Wang
,
J.
Soons
, and
R.
Carakos
,
Proc. SPIE
5869
,
58690S
(
2005
).
15.
M.
Grießhammer
and
A.
Rohrbach
,
Opt. Express
22
(
5
),
6114
6132
(
2014
).
16.
P. B.
Bareil
and
Y.
Sheng
,
Opt. Express
18
(
25
),
26388
26398
(
2010
).
17.
H.-W. L.
Lee
,
C. H.
Liu
, and
J.-S.
Chen
,
Adv. Mech. Eng.
2014
,
904061
(
2014
).
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