In this paper, a localization method is proposed for improving the curved plate fabrication process. In the curved plate forming, checking the similarity of a manufactured plate to a CAD model is a critical step, which can be done by aligning the manufactured plate to the CAD model. Although there exist several localization methods, they may not be suitable for the curved plate forming since they do not consider production efficiency (the shortest cutting length for trimming margin) for the subsequent assembly process. Therefore, in this work, a constraint for minimizing the cutting length is introduced in the localization scheme and an algorithm is proposed to handle the problem. A manufactured plate is measured and a constraint is imposed on the reference points of a CAD model and the measured points to limit the direction of the movement of the measured points in the solution process. Through this algorithm, the CAD model and the measured points are aligned such that the shortest cutting length is obtained. After the alignment, the cutting lines are computed for marking on the manufactured plate. Various curved plates taken from the real ship manufacturing process are used to demonstrate the performance of the proposed algorithm.

1.
Park
,
J. S.
,
Shin
,
J. G.
,
Ko
,
K. H.
,
Hyun
,
C. M.
, and
Doh
,
Y. C.
, 2007, “
Development of an Automated Line Heating Information Extract System for Fabrication of Curved Hull Plates
,”
International Conference on Computer Applications in Shipbuilding
,
Portsmouth, UK
, Sept. 18–20, pp.
159
168
.
2.
Shin
,
J. G.
,
Ryu
,
C. H.
,
Lee
,
J. H.
, and
Kim
,
W. D.
, 2003, “
A User-Friendly, Advanced Line Heating Automation for Accurate Plate Fabrication
,”
J. Ship Prod.
8756-1417,
19
(
1
), pp.
8
15
.
3.
Park
,
J. S.
,
Shin
,
J. G.
, and
Ko
,
K. H.
, 2007, “
Geometric Assessment for Fabrication of Large Hull Pieces in Shipbuilding
,”
Comput.-Aided Des.
0010-4485,
39
(
10
), pp.
870
881
.
4.
Bardis
,
L.
,
Jinkerson
,
R. A.
, and
Patrikalakis
,
N. M.
, 1991, “
Localization for Automated Inspection of Curved Surfaces
,”
Int. J. Offshore Polar Eng.
1053-5381,
1
(
3
), pp.
228
234
.
5.
Besl
,
P. J.
, and
McKay
,
N. D.
, 1992, “
A Method for Registration of 3-D Shapes
,”
IEEE Trans. Pattern Anal. Mach. Intell.
0162-8828,
14
(
2
), pp.
239
256
.
6.
Tucker
,
T. M.
, and
Kurfess
,
T. R.
, 2003, “
Newton Methods for Parametric Surface Registration. Part I. Theory
,”
Comput.-Aided Des.
0010-4485,
35
, pp.
107
114
.
7.
Shin
,
J. G.
,
Lee
,
J. M.
, and
Nam
,
J. H.
, 2004, “
An Efficient Algorithm for Measurement and Comparison of Large-Scale Hull Pieces in the Line-Heating Process
,”
J. Ship Prod.
8756-1417,
20
(
1
), pp.
60
67
.
8.
Huang
,
X.
,
Gu
,
P.
, and
Zernicke
,
R.
, 1996, “
Localization and Comparison of Two Free-Form Surfaces
,”
Comput.-Aided Des.
0010-4485,
28
(
12
), pp.
1017
1022
.
9.
Patrikalakis
,
N. M.
, and
Maekawa
,
T.
, 2002,
Shape Interrogation for Computer Aided Design and Manufacturing
,
Springer-Verlag
,
New York
.
10.
Horn
,
B. K. P.
, 1987, “
Closed-Form Solution of Absolute Orientation Using Unit Quaternions
,”
J. Opt. Soc. Am. A
0740-3232,
4
(
4
), pp.
629
624
.
11.
Press
,
W. H.
,
Teukolsky
,
S. A.
,
Vetterling
,
W. T.
, and
Flannery
,
B. P.
, 1988,
Numerical Recipes in C
,
2nd ed.
,
Cambridge University Press
,
New York
.
12.
Pegna
,
J.
, and
Wolter
,
F.-E.
, 1996, “
Surface Curve Design by Orthogonal Projection of Space Curves Onto Free-Form Surface
,”
ASME J. Mech. Des.
1050-0472,
118
(
1
), pp.
45
52
.
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