%!PS-Adobe-2.0 %%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %%Title: Vortrag.dvi %%Pages: 5 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentPaperSizes: A4 %%EndComments %DVIPSCommandLine: dvips -o A038.ps Vortrag.dvi %DVIPSParameters: dpi=600, comments removed %DVIPSSource: TeX output 2000.01.04:1829 %%BeginProcSet: tex.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if} forall round exch round exch]setmatrix}N /@landscape{/isls true N}B /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 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3822 y(in)k(eine)g(ergonomisc)n(he)d(Ben)n(utzungsob)r(er\015)1929 3826 y(\177)1929 3822 y(ac)n(he)h(eingeb)r(ettet)i(sind.)648 3922 y(Ziel)c(dieser)h(Arb)r(eit)g(w)n(ar)f(der)g(En)n(t)n(wurf)g(und)i (die)f(Realisierung)e(einer)i(automatisc)n(hen)523 4021 y(3D-Metho)r(de,)39 b(um)g(diesen)g(zeitaufw)n(endigen)f(Arb)r(eitssc)n (hritt)h(zu)g(b)r(esc)n(hleunigen)g(und)523 4121 y(dadurc)n(h)20 b(die)h(Akzeptanz)g(des)f(Gesam)n(tsystems)g(in)h(der)f(klinisc)n(hen)h (Routine)g(zu)g(erh)3212 4125 y(\177)3212 4121 y(ohen.)523 4357 y Fk(2)112 b(Metho)s(de)38 b(und)h(V)-9 b(orgehensw)m(eise)523 4526 y Fp(Der)30 b(neue)g(Ansatz)g(zur)g(problematisc)n(hen)f (Separierung)f(der)i(Leb)r(er)g(v)n(om)f(umliegenden)523 4625 y(Gew)n(eb)r(e)f(mit)986 4629 y(\177)986 4625 y(ahnlic)n(hen)g(o)r (der)f(iden)n(tisc)n(hen)h(Grau)n(w)n(erten)f(b)r(esteh)n(t)i(aus)e(zw) n(ei)h(Sc)n(hritten:)523 4725 y(1.)38 b(T)-7 b(renn)n(ung)37 b(der)g(Leb)r(er)h(v)n(om)f(Herzen)h(durc)n(h)f(Appro)n(ximation)g(des) h(Zw)n(erc)n(hfells)f(als)523 4825 y(T)-7 b(renn\015)784 4829 y(\177)784 4825 y(ac)n(he)23 b(und)h(2.)f(Abgrenzung)g(der)h(Leb)r (er)f(v)n(om)g(in)n(tercostalen)f(Bindegew)n(eb)r(e)h(durc)n(h)523 4924 y(Bestimm)n(ung)k(der)h(Brustinnen)n(w)n(and.)p eop %%Page: 2 2 2 1 bop 523 448 a Fj(2.1)95 b(Automatisc)m(he)30 b(Segmen)m(tierung)g (der)i(Lungen\015)2529 452 y(\177)2526 448 y(ugel)523 617 y Fp(Zun)666 621 y(\177)666 617 y(ac)n(hst)e(wird)g(der)g(Thorax)f (aus)g(der)h(ob)r(ersten)g(CT-Aufnahme)h(des)f(Daten)n(v)n(olumens)523 717 y(extrahiert.)25 b(Dazu)h(wird)g(mit)g(einem)g(Sc)n(h)n(w)n(ellen)n (w)n(ert)e(v)n(on)i(-500)e(Houns\014eld-Units)i(\(HU\))523 816 y(ein)f(Bin)782 820 y(\177)782 816 y(arbild)f(der)g(ob)r(ersten)g (Sc)n(hic)n(h)n(t)g(erstellt.)g(In)h(diesem)f(Bin)2571 820 y(\177)2571 816 y(arbild)g(w)n(erden)g(m)3158 820 y(\177)3158 816 y(oglic)n(he)523 916 y(V)-7 b(erbindungen)30 b(zwisc)n(hen)e(Thorax)g(und)i(CT-Tisc)n(h)f(durc)n(h)g(ein)h (morphologisc)n(hes)c(Op)r(e-)523 1016 y(ning)34 b(getrenn)n(t.)f (Zusammenh)1512 1020 y(\177)1512 1016 y(angende)g(Regionen)g(w)n(erden) 2501 1020 y(\177)2499 1016 y(ub)r(er)h(ein)g(Lab)r(eling)f(ermit-)523 1115 y(telt.)23 b(Aus)g(dem)g(Histogramm)e(des)h(gelab)r(elten)g (Bildes)h(wird)f(das)g(Lab)r(el,)g(das)g(den)g(Thorax)523 1215 y(repr)672 1219 y(\177)672 1215 y(asen)n(tiert,)h(b)r(estimm)n(t.) j(Der)f(zugeh)1787 1219 y(\177)1787 1215 y(orige)f(Grau)n(w)n(ert)f (ist)i(nac)n(h)g(dem)g(des)g(Hin)n(tergrun-)523 1315 y(des)35 b(der)g(zw)n(eith)1058 1319 y(\177)1058 1315 y(au\014gste.)f(Durc)n(h)h(Selektion)g(dieses)g(Grau)n(w)n(ertes)e(und) j(ansc)n(hlie\031ender)523 1414 y(Bin)651 1418 y(\177)651 1414 y(arisierung)21 b(steh)n(t)j(eine)f(Mask)n(e)f(zur)h(V)-7 b(erf)1941 1418 y(\177)1939 1414 y(ugung,)23 b(die)g(durc)n(h)g (Multiplik)-5 b(ation)24 b(mit)g(dem)523 1514 y(Originalbild)j(den)g (extrahierten)g(Thorax)f(liefert.)648 1614 y(F)704 1618 y(\177)702 1614 y(ur)32 b(die)h(automatisc)n(he)e(Segmen)n(tierung)g (der)h(Lunge)h(mit)g(einem)f(dreidimensiona-)523 1714 y(len)h(Region-Gro)n(wing)e(ist)j(die)f(Bestimm)n(ung)g(eines)g (Saatpunktes)g(f)2744 1718 y(\177)2742 1714 y(ur)g(den)g(link)n(en)h (und)523 1813 y(rec)n(h)n(ten)43 b(Lungen\015)1147 1817 y(\177)1145 1813 y(ugel)g(erforderlic)n(h.)f(Die)j(b)r(eiden)f (Saatpunkte)g(w)n(erden)f(v)n(on)g(einem)523 1913 y(Punkt)24 b(aus)f(gesuc)n(h)n(t,)g(der)g(dorsal)f(zwisc)n(hen)i(den)g(b)r(eiden)g (Lungen\015)2683 1917 y(\177)2681 1913 y(ugeln)f(liegt)h(und)3243 1917 y(\177)3241 1913 y(ub)r(er)523 2012 y(V)-7 b(erh)694 2016 y(\177)694 2012 y(altnisse)24 b(aus)g(der)f(Bounding-Bo)n(x)g(des) h(extrahierten)f(Thorax)g(ermittelt)i(wird.)f(V)-7 b(on)523 2112 y(diesem)34 b(Startpunkt)g(wird)f(punkt)n(w)n(eise)g(horizon)n (tal)f(nac)n(h)i(links)f(und)h(nac)n(h)f(rec)n(h)n(ts)g(ite-)523 2212 y(riert,)19 b(bis)g(ein)h(f)997 2216 y(\177)995 2212 y(ur)f(das)g(Lungengew)n(eb)r(e)g(c)n(harakteristisc)n(her)d(Sc)n (h)n(w)n(ellen)n(w)n(ert)i(v)n(on)h(-500)e(HU)523 2311 y(un)n(tersc)n(hritten)36 b(wird.)g(Das)g(Region-Gro)n(wing)e(wird)i(f) 2310 2315 y(\177)2308 2311 y(ur)g(jeden)h(Saatpunkt)f(gestartet,)523 2411 y(w)n(ob)r(ei)27 b(das)g(Ergebnis)f(jew)n(eils)i(in)g(das)f(gleic) n(he)g(Ausgab)r(ev)n(olumen)f(gesc)n(hrieb)r(en)h(wird.)523 2663 y Fj(2.2)95 b(Appro)m(ximation)30 b(des)i(Zw)m(erc)m(hfells)523 2832 y Fp(V)-7 b(on)19 b(den)g(so)g(segmen)n(tierten)f(Lungen\015)1764 2836 y(\177)1762 2832 y(ugeln)h(wird)f(deren)h(un)n(tere)g(Begrenzung)e (ermittelt,)523 2931 y(in)30 b(dem)f(sie)h(in)f Fi(z)t Fp(-Ric)n(h)n(tung)f(abgetastet)h(w)n(erden.)g(Ein)g(Punkt)g(mit)h(Ko)r (ordinaten)e(\()p Fi(x;)14 b(y)s Fp(\))523 3031 y(und)27 b(Grau)n(w)n(ert)e Fi(z)30 b Fp(des)c(so)g(en)n(tstandenen)g(H)1935 3035 y(\177)1935 3031 y(ohenpro\014ls)f(repr)2503 3035 y(\177)2503 3031 y(asen)n(tiert)g(die)i(CT-Sc)n(hic)n(h)n(t,)523 3131 y(die)f(an)g(diesem)g(Punkt)g(die)g(un)n(tere)f(Begrenzung)g(der)g (Lunge)h(b)r(esc)n(hreibt.)f(Hierb)r(ei)i(stellt)523 3230 y(sic)n(h)33 b(das)g(Problem,)g(dass)g(die)h(so)f(erhaltenen)g(V) -7 b(o)n(xel)33 b(nic)n(h)n(t)h(alle)f(zur)g(Basis)g(der)g(Lunge)523 3330 y(geh)648 3334 y(\177)648 3330 y(oren)k(und)i(somit)f(nic)n(h)n(t) g(alle)g(an)g(das)f(Zw)n(erc)n(hfell)g(angrenzen,)g(so)h(dass)f(eine)i (Kor-)523 3429 y(rektur)31 b(not)n(w)n(endig)f(ist.)i(Die)g(nic)n(h)n (t)g(an)f(das)g(Zw)n(erc)n(hfell)f(angrenzenden)h(V)-7 b(o)n(xel)31 b(resultie-)523 3529 y(ren)26 b(haupts)910 3533 y(\177)910 3529 y(ac)n(hlic)n(h)f(aus)h(der)g(teilw)n(eisen)1860 3512 y(\177)1849 3529 y(Ub)r(erdec)n(kung)g(des)g(Herzb)r(eutels)h (insb)r(esondere)523 3629 y(durc)n(h)g(den)h(link)n(en)f(Lungen\015) 1474 3633 y(\177)1472 3629 y(ugel.)648 3729 y(Die)40 b(Diskriminierung)f(zwisc)n(hen)g(an)h(das)f(Zw)n(erc)n(hfell)g (angrenzenden)g(und)h(nic)n(h)n(t-)523 3828 y(angrenzenden)21 b(Punkten)h(wird)f(durc)n(h)h(eine)g(W)-7 b(assersc)n(heiden)n (transformation)18 b(\(WT\))23 b(auf)523 3928 y(dem)29 b(Gradien)n(ten)e(des)h(H)1342 3932 y(\177)1342 3928 y(ohenpro\014ls)g(erreic)n(h)n(t)f(\(siehe)h(Abb.)h(1\).)f(Um)h(eine)f (gesc)n(hlossene)523 4028 y(Kon)n(tur)g(des)g(Gradien)n(ten)n(bildes)g (sic)n(herzustellen,)g(wird)h(zum)g(Betrag)e(des)i(analytisc)n(hen)523 4127 y(Gradien)n(ten)35 b(der)g(Ob)5 b(jektrand)35 b(hinzuaddiert,)g(b) r(ev)n(or)g(die)g(WT)h(ausgef)2871 4131 y(\177)2869 4127 y(uhrt)f(wird.)h(Die)523 4227 y(WT)22 b(liefert)f(ein)g(gelab)r(eltes)g (Regionen)n(bild,)g(w)n(ob)r(ei)f(die)i(nic)n(h)n(t)f(an)g(das)f(Zw)n (erc)n(hfell)h(angren-)523 4327 y(zenden)g(Punkte)f(getrenn)n(te)g (Regionen)g(bilden,)h(sofern)f(die)h(diskrete)f(Appro)n(ximation)f(des) 523 4426 y(analytisc)n(hen)31 b(Gradien)n(ten)g(k)n(eine)h(Nullstelle)h (zwisc)n(hen)e(zw)n(ei)h(b)r(enac)n(h)n(barten)e(Gebieten)523 4526 y(aufw)n(eist.)20 b(Da)g(die)h(Gradien)n(tenlinien)f(an)g(den)h (nic)n(h)n(t)f(glatt)g(v)n(erlaufenden)2865 4575 y(")2904 4526 y(Unstetigk)n(eits-)523 4625 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%*********************************************************************** /byte 1 string def /color 3 string def systemdict /colorimage known { /cnt 3 def } { /cnt 1 def } ifelse /String 256 cnt mul string def %*********************************************************************** /DecodePacket % Decode color packet * %*********************************************************************** { currentfile byte readhexstring pop 0 get /Nbyte exch 1 add cnt mul def /color ColorMap currentfile byte readhexstring pop 0 get get def String dup 0 cnt Nbyte 1 sub { color putinterval dup } for pop 0 Nbyte getinterval } bind def %*********************************************************************** /DisplayImage % Display run-length encoded color image * %*********************************************************************** { gsave currentfile String readline pop token { /columns exch def } { } ifelse token { /rows exch def pop } { } ifelse currentfile String readline pop token { /Ncol exch def pop } { } ifelse /ColorMap Ncol array def systemdict /colorimage known { 0 1 Ncol 1 sub { ColorMap exch currentfile 3 string readhexstring pop put } for columns rows 8 [ columns 0 0 rows neg 0 rows ] { DecodePacket } false 3 colorimage }{ 0 1 Ncol 1 sub { ColorMap exch 1 string dup 0 currentfile color readhexstring pop pop color 0 get 0.299 mul color 1 get 0.587 mul add color 2 get 0.114 mul add cvi put put } for columns rows 8 [ columns 0 0 rows neg 0 rows ] { DecodePacket } image } ifelse grestore } bind def %*********************************************************************** %* Image decoding * %*********************************************************************** DisplayImage 433 354 32 080808 121212 1d1d1d 252525 303030 383838 434343 4e4e4e 565656 616161 696969 747474 7f7f7f 8a8a8a 929292 9d9d9d a5a5a5 b0b0b0 bbbbbb c3c3c3 cecece d6d6d6 e1e1e1 ececec f4f4f4 ffffff 000000 000000 000000 000000 000000 000000 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% End Imported PIC File: d06.gif % /Times-Roman ff 180.00 scf sf 6402 3840 m gs 1 -1 sc (\\tex{$\\Re_1$}) col0 sh gr /Times-Roman ff 180.00 scf sf 8374 3840 m gs 1 -1 sc (\\tex{$\\Re_3$}) col0 sh gr /Times-Roman ff 180.00 scf sf 9195 3840 m gs 1 -1 sc (\\tex{$\\Re_4$}) col0 sh gr /Times-Roman ff 180.00 scf sf 7316 3840 m gs 1 -1 sc (\\tex{$\\Re_2$}) col0 sh gr /Times-Roman ff 60.00 scf sf 10590 3668 m gs 1 -1 sc (\\tex{$x$}) col0 sh gr /Times-Roman ff 60.00 scf sf 10560 2092 m gs 1 -1 sc (\\tex{$x$}) col0 sh gr % Polyline 7.500 slw [60] 0 sd n 10050 3892 m 10050 1702 l gs col1 s gr [] 0 sd % Polyline 15.000 slw [90] 0 sd n 340 540 m 4660 540 l gs col0 s gr [] 0 sd $F2psEnd rs %%EndDocument @endspecial 528 1414 a /End PSfrag 528 1414 a 528 509 a /Hide PSfrag 528 509 a -156 561 a Fm(PSfrag)27 b(replacemen)n(ts)p -156 589 685 4 v 528 592 a /Unhide PSfrag 528 592 a 272 665 a { 272 665 a Fh(j)p Fm(grad)f Fg(z)s Fh(j)272 665 y } 0/Place PSfrag 272 665 a 13 775 a { 13 775 a Fm(W)-6 b(assersc)n(heiden)13 775 y } 1/Place PSfrag 13 775 a 489 866 a { 489 866 a Fg(z)489 866 y } 2/Place PSfrag 489 866 a 438 949 a { 438 949 a Fh(<)493 957 y Fn(1)438 949 y } 3/Place PSfrag 438 949 a 438 1041 a { 438 1041 a Fh(<)493 1049 y Fn(3)438 1041 y } 4/Place PSfrag 438 1041 a 438 1132 a { 438 1132 a Fh(<)493 1140 y Fn(4)438 1132 y } 5/Place PSfrag 438 1132 a 438 1223 a { 438 1223 a Fh(<)493 1231 y Fn(2)438 1223 y } 6/Place PSfrag 438 1223 a 484 1323 a { 484 1323 a Fg(x)484 1323 y } 7/Place PSfrag 484 1323 a 484 1414 a { 484 1414 a Fg(x)484 1414 y } 8/Place PSfrag 484 1414 a 523 1588 a Fl(Abb.)14 b(1.)35 b Ff(Links:)f Fm(H)1128 1591 y(\177)1128 1588 y(ohenpro\014l)h(der)f(Lungen)n(basis.)i Ff(R)l(e)l(chts:)g Fm(Qualitativ)n(e)f(sc)n(hematisc)n(he)f(Dar-)523 1680 y(stellungen.)28 b Ff(Ob)l(en:)e Fm(V)-6 b(en)n(traler)27 b(Horizon)n(talsc)n(hnitt)g(durc)n(h)f(das)h(H)2482 1683 y(\177)2482 1680 y(ohenpro\014l)f(der)g(Lungen)n(basis.)523 1771 y Ff(Darunter:)j Fm(Absolutb)r(etrag)f(des)g(zugeh)1714 1774 y(\177)1714 1771 y(origen)g(Gradien)n(ten.)g(Durc)n(h)f(W)-6 b(assersc)n(heiden)n(transfor-)523 1862 y(mation)32 b(auf)h(dem)e (Gradien)n(ten)i(bilden)f(sic)n(h)h(vier)f(Regionen)h Fh(<)2457 1870 y Fn(1)2492 1862 y Fm({)p Fh(<)2585 1870 y Fn(4)2620 1862 y Fm(,)g(v)n(on)f(denen)g(die)g(b)r(eiden)523 1954 y(gr)591 1957 y(\177)591 1954 y(o\031ten)27 b(\(hier)e Fh(<)1039 1962 y Fn(1)1100 1954 y Fm(und)f Fh(<)1308 1962 y Fn(4)1344 1954 y Fm(\))h(als)i(an)e(das)h(Zw)n(erc)n(hfell)h (angrenzend)f(angenommen)e(w)n(erden.)523 2345 y Fp(diesen)36 b(Regionen)g(en)n(tsprec)n(henenden)g(Punkte)g(w)n(erden)g(im)g(H)2606 2349 y(\177)2606 2345 y(ohenpro\014l)g(ausgew)3263 2349 y(\177)3263 2345 y(ahlt)523 2445 y(und)29 b(als)e(St)895 2449 y(\177)893 2445 y(utzstellen)j(f)1296 2449 y(\177)1294 2445 y(ur)e(die)g(In)n(terp)r(olation)g(des)g(Zw)n(erc)n(hfells)f(v)n (erw)n(endet.)g(Dazu)h(wird)523 2545 y(eine)36 b(kleinste)g(Quadrate)e (Anpassung)h(der)h(p)r(olynomialen)f(Fl)2570 2549 y(\177)2570 2545 y(ac)n(he)g Fi(n)p Fp(-ten)h(Grades)f(aus)523 2644 y(Gl.)28 b(\(1\))g(durc)n(hgef)1108 2648 y(\177)1106 2644 y(uhrt.)1478 2939 y Fi(f)9 b Fp(\()p Fi(x;)14 b(y)s Fp(\))24 b(=)1871 2835 y Fe(n)1831 2860 y Fd(X)1838 3037 y Fe(i)p Fo(=0)2013 2835 y Fe(i)1965 2860 y Fd(X)1968 3037 y Fe(j)s Fo(=0)2099 2939 y Fi(c)2135 2951 y Fe(i;j)2213 2939 y Fi(x)2260 2904 y Fe(j)2295 2939 y Fi(y)2339 2904 y Fe(i)p Fc(\000)p Fe(j)3299 2939 y Fp(\(1\))648 3208 y(Als)29 b(guter)g(Kompromiss)f(zwisc)n(hen)h(Sp)r(eic)n(herplatzb)r (edarf)g(und)h(G)2823 3212 y(\177)2821 3208 y(ute)h(der)e(In)n(terp)r (o-)523 3308 y(lation)i(hat)g(sic)n(h)g Fi(n)e Fp(=)g(4)i(erwiesen,)g (w)n(omit)g(15)f(Ko)r(e\016zien)n(ten)h Fi(c)2594 3320 y Fe(i;j)2704 3308 y Fp(im)h(Sinne)f(der)g(klein-)523 3407 y(sten)e(F)-7 b(ehlerquadrate)27 b(zu)h(b)r(estimmen)h(sind.)g (Dazu)f(ist)h(Gl.)g(\(2\))f(zu)h(l)2748 3411 y(\177)2748 3407 y(osen,)f(in)g(der)g Fb(A)h Fp(die)523 3507 y(Regressions-Matrix,) j Fb(A)1348 3477 y Fe(T)1435 3507 y Fp(deren)i(transp)r(onierte,)g Fb(c)h Fp(den)g(Ko)r(e\016zien)n(ten)n(v)n(ektor)d(und)j Fb(z)523 3607 y Fp(den)28 b(V)-7 b(ektor)27 b(der)g Fi(z)t Fp(-W)-7 b(erte)27 b(an)g(den)h(St)1760 3611 y(\177)1758 3607 y(utzstellen)g(b)r(esc)n(hreib)r(en.)1702 3842 y Fb(A)1774 3808 y Fe(T)1826 3842 y Fb(A)q(c)22 b Fp(=)h Fb(A)2124 3808 y Fe(T)2176 3842 y Fb(z)1077 b Fp(\(2\))648 4028 y(Die)27 b(Regressionsmatrix)e Fb(A)j Fp(m)n(uss)f(f)1819 4032 y(\177)1817 4028 y(ur)h(jede)f(St)2176 4032 y(\177)2174 4028 y(utztstelle)i(\()p Fi(x;)14 b(y)s Fp(\))28 b(eine)g(Zeile)f(mit)h (den)523 4127 y(daraus)j(b)r(erec)n(hneten)g(W)-7 b(erten)32 b Fi(x)1603 4097 y Fe(j)1639 4127 y Fi(y)1683 4097 y Fe(i)p Fc(\000)p Fe(j)1825 4127 y Fp(en)n(thalten.)g(Bei)g(V)-7 b(erw)n(endung)31 b(aller)g(bis)h(zu)g(10)3369 4097 y Fo(5)523 4227 y Fp(St)603 4231 y(\177)601 4227 y(utzstellen)e(ergibt)e (sic)n(h)g(so)g(eine)h(Matrix)f(v)n(on)f(10)2177 4197 y Fo(5)2233 4227 y Fa(\001)19 b Fp(15)28 b(Flie\031k)n(ommazahlen)f (mit)3243 4231 y(\177)3241 4227 y(ub)r(er)523 4327 y(90)e(MB)g(Sp)r (eic)n(herb)r(edarf.)g(Anstatt)h(Gl.)g(\(2\))g(direkt)f(zu)h(l)2322 4331 y(\177)2322 4327 y(osen,)f(b)r(en)n(utzten)h(wir)f(den)h(Algo-)523 4426 y(rithm)n(us)20 b(zum)h(T)-7 b(rend-Surface-Fit)19 b(aus)h([4],)g(der)g(auf)g(einer)g(QR-Zerlegung)e(der)i(Matrix)g Fb(A)523 4526 y Fp(durc)n(h)27 b(Householder-T)-7 b(ransformationen)24 b(b)r(eruh)n(t.)j(Dies)g(liefert)h(auc)n(h)e(f)2832 4530 y(\177)2830 4526 y(ur)i(sc)n(hlec)n(h)n(t)e(k)n(on-)523 4625 y(ditionierte)e(Regressionsmatrizen)e(n)n(ummerisc)n(h)i(stabile)h (Sc)n(h)2529 4629 y(\177)2529 4625 y(atzungen)e(f)2907 4629 y(\177)2905 4625 y(ur)i(den)g(Ko)r(e\016-)523 4725 y(zien)n(ten)n(v)n(ektor)i Fb(c)o Fp(.)i(Das)e(V)-7 b(erfahren)28 b(wurde)g(auf)g(15)g(Datens)2431 4729 y(\177)2431 4725 y(atze)f(angew)n(endet.)h(Es)f(zeigte)523 4825 y(sic)n(h)40 b(f)727 4829 y(\177)725 4825 y(ur)g Fi(n)k Fp(=)f(4)d(eine)g(knapp)1578 4829 y(\177)1575 4825 y(ub)r(er)g(90)13 b(\045-ige)2125 4807 y(\177)2115 4825 y(Ub)r(ereinstimm)n(ung)40 b(der)g(mo)r (dellierten)523 4924 y(Fl)600 4928 y(\177)600 4924 y(ac)n(hen)27 b(mit)h(den)g(k)n(orrigierten)d(H)1652 4928 y(\177)1652 4924 y(ohenpro\014len.)p eop %%Page: 4 4 4 3 bop 648 448 a Fp(Das)28 b(so)h(gew)n(onnene)f(Mo)r(dell)h(des)g(Zw) n(erc)n(hfells)f(erm)2328 452 y(\177)2328 448 y(oglic)n(h)n(t)f(eine)i (T)-7 b(renn)n(ung)29 b(des)f(Le-)523 548 y(b)r(ergew)n(eb)r(es)22 b(v)n(on)h(allen)g(Organen,)f(die)h(ob)r(erhalb)g(der)g(b)r(erec)n (hneten)g(Fl)2800 552 y(\177)2800 548 y(ac)n(he)g(liegen,)g(auc)n(h)523 648 y(w)n(enn)28 b(diese)f(einen)h(iden)n(tisc)n(hen)f(Grau)n(w)n(ert)f (b)r(esitzen.)523 904 y Fj(2.3)95 b(Automatisc)m(he)30 b(Segmen)m(tierung)g(der)i(Ripp)s(en)523 1078 y Fp(Ein)e(w)n(eiteres)f (Problem)f(stellt)j(die)f(T)-7 b(renn)n(ung)29 b(des)g(Leb)r(ergew)n (eb)r(es)g(v)n(om)g(angrenzenden)523 1178 y(in)n(tercostalen)e (Bindegew)n(eb)r(e)h(dar,)g(w)n(eil)g(Grau)n(w)n(ertun)n(tersc)n(hiede) e(h)2715 1182 y(\177)2715 1178 y(au\014g)i(nic)n(h)n(t)h(v)n(orhan-)523 1278 y(den)d(sind.)h(Dazu)f(wird)g(die)g(Kon)n(tur)f(der)h(Brustinnen)n (w)n(and)f(ermittelt,)h(d.)h(h.)f(die)g(Fl)3222 1282 y(\177)3222 1278 y(ac)n(he,)523 1377 y(die)i(sic)n(h)f(v)n(on)g(innen)h (am)f(b)r(esten)h(an)g(die)f(Ripp)r(en)i(ansc)n(hmiegt.)648 1478 y(Die)20 b(Ripp)r(en)g(selbst)g(k)1340 1482 y(\177)1340 1478 y(onnen)g(als)f(kn)1784 1482 y(\177)1784 1478 y(oc)n(herne)f (Strukturen)2495 1482 y(\177)2493 1478 y(ub)r(er)i(geeignete)f(Sc)n(h)n (w)n(ellen-)523 1578 y(w)n(erte)g(v)n(on)f(gr)962 1582 y(\177)962 1578 y(o\031er)f(400)h(HU)i(v)n(om)1595 1582 y(\177)1593 1578 y(ubrigen)e(Gew)n(eb)r(e)i(getrenn)n(t)e(w)n(erden.)h (Dies)h(gelingt)f(ab)r(er)523 1678 y(f)550 1682 y(\177)548 1678 y(ur)i(die)g(Erfordernisse)d(einer)j(automatisc)n(hen)f(Segmen)n (tierung)f(nic)n(h)n(t)i(immer)g(aussc)n(hlie\031-)523 1777 y(lic)n(h,)29 b(so)f(dass)g(andere)g(Strukturen,)g(wie)h(k)n(on)n (trastmittelgef)2473 1781 y(\177)2471 1777 y(ullte)f(Gef)2787 1781 y(\177)2787 1777 y(a\031e,)g(Nierensteine)523 1877 y(etc.)g(mit)832 1881 y(\177)832 1877 y(ahnlic)n(h)f(hohen)h(Grau)n(w)n (erten)e(auc)n(h)h(im)h(Bin)2262 1881 y(\177)2262 1877 y(arbild)f(v)n(orhanden)f(sind.)648 1978 y(Um)38 b(ein)h(Bin)1090 1982 y(\177)1090 1978 y(arbild)e(n)n(ur)h(der)g(Ripp)r(en)h(und)g(der)f (Wirb)r(els)2568 1982 y(\177)2568 1978 y(aule)g(zu)g(erzeugen,)f(w)n (er-)523 2078 y(den)g(diese)g(mit)h(einem)g(3D-Region-Gro)n(wing)c (segmen)n(tiert,)i(f)2574 2082 y(\177)2572 2078 y(ur)i(das)e(geeignete) h(Saat-)523 2177 y(punkte)g(ermittelt)g(w)n(erden)f(m)1530 2181 y(\177)1528 2177 y(ussen.)h(Dazu)f(wird)h(sc)n(hic)n(h)n(t)n(w)n (eise)e(eine)h(Ellipse)g(aus)g(der)523 2277 y(Bounding-Bo)n(x)28 b(des)j(Thorax)d(ermittelt)j(und)g(alle)f(innerhalb)g(gelegenen)f(Bin) 3063 2281 y(\177)3063 2277 y(arob)5 b(jekte)523 2377 y(w)n(erden)23 b(en)n(tfern)n(t.)g(Die)h(v)n(erbleib)r(enden)f(lateral) f(gelegenen)g(Bin)2555 2381 y(\177)2555 2377 y(arob)5 b(jekte)22 b(w)n(erden)g(durc)n(h)523 2476 y(ein)28 b(3D-Lab)r(eling)f (iden)n(ti\014ziert.)i(Ob)5 b(jekte,)27 b(die)h(zu)h(klein)f(f)2410 2480 y(\177)2408 2476 y(ur)g(einen)g(Ripp)r(en)n(b)r(ogen)g(sind,)523 2576 y(w)n(erden)j(en)n(tfern)n(t.)g(F)1205 2580 y(\177)1203 2576 y(ur)g(alle)1472 2580 y(\177)1469 2576 y(ubrigen)g(Ob)5 b(jekte)31 b(wird)g(eine)h(Hauptac)n(hsen)n(transformati-)523 2676 y(on)e(durc)n(hgef)953 2680 y(\177)951 2676 y(uhrt,)f(indem)h(f) 1438 2680 y(\177)1436 2676 y(ur)g(ihren)g(um)g(die)g(Ko)r(ordinatensc)n (h)n(w)n(erpunkte)d(zen)n(trierten)523 2775 y(T)-7 b(r)609 2779 y(\177)609 2775 y(agheitstensor)25 b(die)j(Eigen)n(v)n(ektoren)d (und)j(Eigen)n(w)n(erte)e(b)r(estimm)n(t)i(w)n(erden.)648 2876 y(Bezeic)n(hnet)23 b(man)h(den)f(gr)1468 2880 y(\177)1468 2876 y(o\031ten)g(und)h(kleinsten)g(Eigen)n(w)n(ert)d(mit)k Fi(\025)2778 2888 y Fo(1)2839 2876 y Fp(und)f Fi(\025)3049 2888 y Fo(3)3087 2876 y Fp(,)g(so)f(k)-5 b(ann)523 2976 y(nac)n(h)35 b([3])g(die)g(Orien)n(tierung)f(des)h(Ob)5 b(jektes)34 b(durc)n(h)h(das)g(Koh)2545 2980 y(\177)2545 2976 y(arenzma\031)d Fi(c)k Fp(aus)e(Gl.)i(\(3\))523 3076 y(b)r(estimm)n(t)28 b(w)n(erden.)1386 3327 y Fi(c)23 b Fp(=)1533 3210 y Fd(\022)1604 3271 y Fi(\025)1652 3283 y Fo(1)1708 3271 y Fa(\000)18 b Fi(\025)1839 3283 y Fo(3)p 1604 3308 273 4 v 1604 3384 a Fi(\025)1652 3396 y Fo(1)1708 3384 y Fp(+)g Fi(\025)1839 3396 y Fo(3)1886 3210 y Fd(\023)1948 3227 y Fo(2)2082 3327 y Fi(;)97 b Fp(0)22 b Fa(\024)h Fi(c)g Fa(\024)f Fp(1)757 b(\(3\))648 3528 y(F)704 3532 y(\177)702 3528 y(ur)28 b(ein)g(kugelf)1160 3532 y(\177)1160 3528 y(ormiges)f(Ob)5 b(jekt)28 b(geh)n(t)g Fi(c)g Fp(gegen)g(n)n(ull,) g(w)2474 3532 y(\177)2474 3528 y(ahrend)g(es)g(f)2877 3532 y(\177)2875 3528 y(ur)g(stabf)3160 3532 y(\177)3160 3528 y(ormige)523 3628 y(Ob)5 b(jekte)25 b(gegen)g(eins)h(geh)n(t.)f (Mit)h(einem)g(Sc)n(h)n(w)n(ellen)n(w)n(ert)e(v)n(on)h(0.7)g(k)2693 3632 y(\177)2693 3628 y(onnen)g(so)g(die)h(zu)g(den)523 3727 y(Ripp)r(en)31 b(geh)940 3731 y(\177)940 3727 y(origen)c(Ob)5 b(jekte)30 b(erk)-5 b(ann)n(t)29 b(w)n(erden,)g(v)n(on)g(denen)h(in)g (einer)f(Liste)g(jew)n(eils)h(ein)523 3827 y(Saatpunktk)-5 b(andidat)30 b(gesp)r(eic)n(hert)g(wird.)g(Das)g(Region-Gro)n(wing)e (wird)i(dann)g(f)3106 3831 y(\177)3104 3827 y(ur)h(jeden)523 3927 y(Saatpunktk)-5 b(andidaten)29 b(gestartet,)g(f)1726 3931 y(\177)1724 3927 y(ur)h(den)f(im)h(Ausgab)r(ev)n(olumen)e(no)r(c)n (h)i(k)n(ein)f(Ein)n(trag)523 4026 y(v)n(orhanden)34 b(ist.)h(Auf)h(diese)e(W)-7 b(eise)36 b(erh)1822 4030 y(\177)1822 4026 y(alt)e(man)h(b)r(ei)g(Grau)n(w)n(ertgrenzen)e(v)n(on) h(400)g(und)523 4126 y(800)23 b(HU)i(aussc)n(hlie\031lic)n(h)e(die)i (Ripp)r(en)g(und)g(die)g(Wirb)r(els)2324 4130 y(\177)2324 4126 y(aule)f(als)g(Segmen)n(tierungsergeb-)523 4225 y(nis.)648 4327 y(Aus)30 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005f004e003b0034003d004d005200500051024f004c004a004d0151004c004d0151004e 00500051004e004b00400039003a003e0049004b00480047004a014e004c004200380133 0036003502320031 restore grestore % % End Imported PIC File: result.gif % % Polyline % % Begin Imported GIF File: wrong.gif n gs 8110 441 tr 21.790780 -31.559140 sc 0 -93 tr 0 0 tr sa /showpage {} def % GIF image follows: 282 93 sc %*********************************************************************** %* * %* Object: Image decoding PS-routine Date: 01.02.93 * %* Author: Evgeni CHERNYAEV (chernaev@vxcern.cern.ch) * %* * %* Function: Display a run-length encoded color image. * %* The image is displayed in color on viewers and printers * %* that support color Postscript, otherwise it is displayed * %* as grayscale. * %* * %*********************************************************************** /byte 1 string def /color 3 string def systemdict /colorimage known { /cnt 3 def } { /cnt 1 def } ifelse /String 256 cnt mul string def %*********************************************************************** /DecodePacket % Decode color packet * %*********************************************************************** { currentfile byte readhexstring pop 0 get /Nbyte exch 1 add cnt mul def /color ColorMap currentfile byte readhexstring pop 0 get get def String dup 0 cnt Nbyte 1 sub { color putinterval dup } for pop 0 Nbyte getinterval } bind def %*********************************************************************** /DisplayImage % Display run-length encoded color image * %*********************************************************************** { gsave currentfile String readline pop token { /columns exch def } { } ifelse token { /rows exch def pop } { } ifelse currentfile String readline pop token { /Ncol exch def pop } { } ifelse /ColorMap Ncol array def systemdict /colorimage known { 0 1 Ncol 1 sub { ColorMap exch currentfile 3 string readhexstring pop put } for columns rows 8 [ columns 0 0 rows neg 0 rows ] { 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b(384{388,)k(1994.)600 4587 y(5.)42 b(W)-6 b(olf)31 b(I,)f(Glom)n(bitza)h(G,)g(De)f(Simone)g(R,)g(Meinzer)h(HP:)f (Automatisc)n(he)g(Segmen)n(tierung)701 4678 y(v)n(on)42 b(Herzk)l(a)n(vit)1184 4681 y(\177)1184 4678 y(aten)h(in)g (mehrdimensionalen)f(Ultrasc)n(hallaufnahmen.)h(In:)g(Ev)n(ers)g(H,)701 4770 y(Glom)n(bitza)23 b(G,)g(Lehmann)e(T,)i(Meinzer)g(HP)f(\(Hrsg.\),) h(Bildv)n(erarb)r(eitung)g(f)2924 4773 y(\177)2922 4770 y(ur)g(die)f(Medizin)701 4861 y(1999,)28 b(Springer)d(V)-6 b(erlag,)27 b(Heidelb)r(erg,)f(77{81,)i(1999.)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF