We
Ab bord the c imag robu initia princ reali We o dom gene In
M impl of in the X seve prep the radio appl posit base direc on th imag nece as th prov in or radio as th need How perfo inter to pe
Fo
Image an lding and Con BP.
bstract—The l ders have dire contour is bui ge. They are k ust to the nois
al curve, the ciple to devel ize a partition obtaintwo regi ains in imag erally on statist ndexTerms—Le
Many metho lemented to im ndustry. In thi
X-ray which, eral advantage paration is req location of t ography is lication; it allo
tion) useful f ed on a visu ctions in the fi he physics of ge processing essarily impro he expert is us vide tools to ex rder to facilita ograph, extrac he area and p d and provid wever, the se formed manu
rpretation. Too erform this tas
ormula
N. RAM nd Signal Pro ntrol Research 64 Cheraga, A
n.ramou@
limitations of ected the rese
lt from all the known as regio se and less se models based op a curve so n of the image ions because a e. The region tical.
evel set, Mumf I. INTROD
ods of no mprove the di is context, one
compared to o es: the cost is quired and the
the equipment particularly ows the extrac for diagnosis.
ual inspection field of radiogr the acquisitio . The aim of ving the visua sed and interp xtract the relev ate the diagno ction and ana perimeter of w
de valuable gmentation o ually by an
ols for automa sk quickly, obj
ation o
MOU ocessing Labor
h Center, Rout Algiers, Alger
@csc.dz
the active co arch towards e information on-based active ensitive to the d on regions h o that in the e in two homo a single curve n-based active
ford shah, weld DUCTION
on-destructive agnosis of def e of the most other imaging s relatively lo e inspection c
t. Due to its well suited ction of the p As the diag n by experts raphy have em n and research this research al quality of th preted correctl
vant measurem osis [1]. In th
lysis of the p welding defect
information of defect is a
expert has atic segmentat jectively and r
of Mu by
ratory.
te Dely Brahim ria
ontour based solutions whe contained in t e contours. Mo e position of t have for gene
convergence, ogeneous regio bounds only tw e contours ba
d defect.
control a fects in the fie used methods g techniques, h ow, no mater
an take place s characteristi to the ND parameters (siz gnosis is main s, two resear merged: resear h on methods
is however n he screen ima ly. It is rather ment paramete he context of t parameters (su t ...) is a stro for diagnos a typically ta s a subjecti tion are requir repetitively. It
umford level
m W
on ere the ore the ral we ns.
wo ase
are eld s is has rial at ics, DT ze, nly rch rch of not age r to ers the uch ong sis.
ask ive red t is
in of
se ba w th de ap [4 a at
en va re
E
da pr pr co th th
w
d and set
Image Welding and Co
BP
n this context f radiographic II In 1989, egmentation a asic idea of th where some con he difficulty
eformation. T pproaches, on 4]. The first is contour dete ttempts to appr III. THE F
The basic id nergy function alue bounded egion R on wh
, then the min
2
Γ, ,
| , ) |
i
i i
i R
E g u
g x y
and are ata fidelity ter roblem has no roven that in onstants, the s hat the value o of restric herefore be rew
Γ ,
Ωwith
Shah p
M. HA and Signal Pr ontrol Researc P. 64 Cheraga
m.halim
that our team images [2].
I. MUMFORD A
Mumford an approach base his method is nditions of reg
focuses on To answer
e can show th to stop the de ected by the roximate each
FORMULATION
dea of Mumfo n. So if u x
in Ω from hich the imag nimizing funct
Ω 2
Γ
,
i
u x y gi
dxdy dl
e positive rea rm and long-t o general solu
the simple c solution alway of the on r
cted to . I written as follo
Ω
,proble
ALIMI rocessing Lab ch Center, Ro , Algiers, Alg mi@csc.dz
m takes care o
AND SHAH ME
nd Shah pr ed on active
to deform a gularity are im
the stop this question hat they are fo eformation wh e gradient va h area by a pow
N OF MUMFOR
ford and Shah
,y represent to and the ge is approxim tional can be w
x y,
2dxdyl parameters term contours ution but it ha ase where the ys exists. It c region is th In this frame ows:
em
oratory.
oute Dely Brah geria
f the segment
ETHOD
roposed the contour [5].
curve in an im mposed. There
condition of n there are formally equiv hen the curve m
alues. The se wer function.
RD AND SHAH
is to minimiz ts our image e contour Γ of mated by a fun
written as:
for weighting respectively.
as been rigoro e functions can then be sh he average den ework, energy
Γi
him
tation
first The mage efore, f the
two valent meets econd
ze an with f each nction
(1)
g the This ously are hown noted y can
(2)
