%!PS-Adobe-2.0 %%Creator: dvips(k) 2023.1 (TeX Live 2023) Copyright 2023 Radical Eye Software %%Title: arXiv:2402.05642v3 [eess.IV] 19 Aug 2024 %%CreationDate: Tue Oct 8 19:16:00 2024 %%Pages: 9 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: bbding %%DocumentPaperSizes: Letter %%EndComments %%BeginDefaults %%ViewingOrientation: 1 0 0 1 %%EndDefaults %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -R2 -P pk -z samplepaper.dvi -o %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2024.10.08:1916 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}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{A A 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 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3 def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90 rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse} forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{ BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat {BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B /M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M} B/g{0 M}B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{ 0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: l3backend-dvips.pro 0 0 %% %% This is file `l3backend-dvips.pro', %% generated with the docstrip utility. %% %% The original source files were: %% %% l3backend-header.dtx (with options: `header,dvips') %% %% Copyright (C) 2019-2023 The LaTeX Project %% %% It may be distributed and/or modified under the conditions of %% the LaTeX Project Public License (LPPL), either version 1.3c of %% this license or (at your option) any later version. 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448 y Ft(spacing)d(of)h(1.0)g(mm.)g(Additionally)-7 b(,)24 b(w)n(e)e(applied)h(a)g(cropping)f(or)g(padding)h(pro)r(cess)f (along)523 548 y(eac)n(h)33 b(dimension,)g(yielding)g(v)n(olumes)f(of)i (size)f(256)20 b Fi(\002)i Ft(256)f Fi(\002)h Ft(256,)32 b(with)i(the)f(spine)h(R)n(OI)523 648 y(appro)n(ximately)26 b(p)r(ositioned)h(at)h(the)g(cen)n(ter)f(of)g(the)h(v)n(olume.)523 911 y SDict begin H.S end 523 911 a 523 911 a SDict begin 12 H.A end 523 911 a 523 911 a SDict begin [/View [/XYZ H.V]/Dest (section*.6) cvn /DEST pdfmark end 523 911 a Fj(Exp)s(erimen)m(t)40 b(settings.)52 b Ft(The)37 b(camera)e(in)n (trinsic)h(parameters)f(used)i(in)g(the)g(exp)r(eri-)523 1011 y(men)n(ts)30 b(sim)n(ulate)f(a)g(P)n(erlo)n(v)n(e)e(PLX118F)h (mobile)i(C-arm)f(imaging)f(device)i(whic)n(h)f(gener-)523 1110 y(ates)e(the)g(X-ra)n(y)e(images)h(in)i(this)f(w)n(ork.)e(The)i (device)g(has)g(an)f(isotropic)g(pixel)h(spacing)f(of)523 1210 y(0.19959)j(mm/pixel,)i(a)g(source-to-detector)e(distance)i(of)h 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1]BorderArrayPatch/Subtype /Link/Dest (cite.van2005standardized) cvn H.B /ANN pdfmark end 3231 1953 a Ft(],)i(w)n(e)523 2052 y(rep)r(ort)20 b(mean)g(target)g(registration)e(error)h(\(mTRE\))i(in)g(50th,)f(75th,) g(and)g(95th)g(p)r(ercen)n(tiles)523 2152 y(\(in)29 b(millimeters\).)g (mTRE)g(is)g(de\014ned)g(as)f(the)h(a)n(v)n(erage)d(3D)j(distance)f(b)r (et)n(w)n(een)h(the)g(pro-)523 2251 y(jections)23 b(obtained)g(from)g (the)h(ground)e(truth)i(camera)e(p)r(oses)g(and)h(the)h(estimated)f (camera)523 2351 y(p)r(oses.)i(Supp)r(ose)g(w)n(e)h(ha)n(v)n(e)e(a)h (three-dimensional)f(p)r(oin)n(t)i(set)f Fh(\005)7 b Ft(consisting)25 b(of)g Fh(L)g Ft(anatom-)523 2451 y(ical)i(landmarks,) g(mTRE)g(can)g(b)r(e)h(represen)n(ted)f(as:)1253 2716 y SDict begin H.S end 1253 2716 a 1253 2716 a SDict begin 12 H.A end 1253 2716 a 1253 2716 a SDict begin [/View [/XYZ H.V]/Dest (equation.1.4.5) cvn /DEST pdfmark end 1253 2716 a Fh(mT)12 b(R)q(E)5 b Ft(\()p Fh(\022)r(;)1633 2694 y Ft(^)1627 2716 y Fh(\022)r Ft(\))23 b(=)1828 2659 y(1)p 1821 2697 57 4 v 1821 2773 a Fh(L)1960 2612 y Fr(L)1923 2637 y Fe(X)1901 2815 y Fr(v)1934 2823 y Fc(i)1960 2815 y Ff(2)p Fr(\005)2078 2716 y Fi(k)p Fh(\022)d Fi(\016)e Fh(v)2279 2728 y Fr(i)2325 2716 y Fi(\000)2415 2694 y Ft(^)2408 2716 y Fh(\022)j Fi(\016)d Fh(v)2568 2728 y Fr(i)2596 2716 y Fi(k)2638 2728 y Fs(2)3299 2716 y Ft(\(5\))523 2986 y(W)-7 b(e)25 b(also)f(ev)-5 b(aluate)25 b(the)g(errors)e(in)i (rotation)f(and)h(translation)f(b)r(et)n(w)n(een)h(estimated)g Fh(\022)i Ft(and)523 3086 y(ground)g(truth)1028 3064 y(^)1022 3086 y Fh(\022)j Ft(resp)r(ectiv)n(ely)-7 b(.)523 3263 y SDict begin H.S end 523 3263 a 523 3263 a SDict begin 12 H.A end 523 3263 a 523 3263 a SDict begin [/View [/XYZ H.V]/Dest (subsection.1.4.3) cvn /DEST pdfmark end 523 3263 a 86 x Fj(4.3)95 b(Results)523 3530 y Ft(The)31 b(n)n(umerical)f(results)g(of)g(the)h(registration)e(p)r(ose)i(error)d (are)i(sho)n(wn)g(in)h(T)-7 b(able.)3186 3530 y SDict begin H.S end 3186 3530 a Ft(1)3228 3476 y SDict begin H.R end 3228 3476 a 3228 3530 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype /Link/Dest (table.1.1) cvn H.B /ANN pdfmark end 3228 3530 a Ft(.)31 b(Be-)523 3629 y(cause)h(our)g(exp)r(erimen)n(ts)g(w)n (ere)g(initiated)h(with)g(rather)f(substan)n(tial)g(o\013sets,)g(the)h (mean)523 3729 y(errors)e(w)n(ere)h(signi\014can)n(tly)h(sk)n(ew)n(ed)f (b)n(y)h(the)g(presence)g(of)g(large-scale)d(outliers)j(that)g(do)523 3828 y(not)j(truly)h(re\015ect)f(the)g(actual)g(distribution.)h(The)f (initial)h(mTRE)f(is)g(118)p Fh(:)p Ft(74)22 b Fi(\006)i Ft(54)p Fh(:)p Ft(36,)523 3928 y(98)p Fh(:)p Ft(59)17 b Fi(\006)h Ft(41)p Fh(:)p Ft(35,)25 b(and)j(75)p Fh(:)p Ft(40)16 b Fi(\006)j Ft(29)p Fh(:)p Ft(89)25 b(at)j(the)g(95th,)f (75th,)g(and)h(50th)f(p)r(ercen)n(tiles)g(resp)r(ec-)523 4028 y(tiv)n(ely)-7 b(.)29 b(Because)f(the)h(sizes)f(of)h(di\013eren)n (t)g(anatomical)f(parts)g(of)h(the)g(spine)g(are)f(di\013eren)n(t,)523 4127 y(the)22 b(mTRE)g(obtained)g(from)f(the)h(exp)r(erimen)n(tal)g (results)f(on)h(cervical,)e(thoracic)h(and)h(lum-)523 4227 y(bar)31 b(spine)h(data)f(v)-5 b(aries)31 b(greatly)-7 b(.)31 b(It)h(will)g(b)r(e)g(more)f(in)n(tuitiv)n(e)h(to)g(directly)f (compare)g(the)523 4327 y(errors)24 b(of)i(eac)n(h)f(comp)r(onen)n(t)g (in)h(rotation)f(and)h(translation.)f(It)h(is)g(w)n(orth)f(noting)g (that)i(al-)523 4426 y(though)h(the)h(mean)f(v)-5 b(alues)27 b(of)h(errors)e(in)j(some)e(directions)h(of)g(rotation)f(and)h (translation)523 4526 y(b)r(ecame)34 b(larger)d(after)j(registration)d (in)j(our)f(exp)r(erimen)n(ts,)g(this)h(w)n(as)f(actually)g(a\013ected) 523 4625 y(b)n(y)25 b(outliers.)g(T)-7 b(aking)24 b(the)i(total)f (errors)e(in)i(the)h(three)f(directions)g(of)g(rotation)f(\(rx,)h(ry)-7 b(,)25 b(rz\))523 4725 y(as)31 b(an)f(example:)h(their)g(initial)h (errors)d(are)h(4)p Fh(:)p Ft(02)19 b Fi(\006)i Ft(3)p Fh(:)p Ft(16,)30 b(3)p Fh(:)p Ft(79)19 b Fi(\006)i Ft(3)p Fh(:)p Ft(13)29 b(and)i(3)p Fh(:)p Ft(76)20 b Fi(\006)g Ft(2)p Fh(:)p Ft(93,)523 4825 y(while)32 b(the)g(errors)e(after)h (registration)f(are)h(4)p Fh(:)p Ft(21)20 b Fi(\006)g Ft(7)p Fh(:)p Ft(46,)31 b(6)p Fh(:)p Ft(06)20 b Fi(\006)h Ft(7)p Fh(:)p Ft(86)30 b(and)i(2)p Fh(:)p Ft(92)19 b Fi(\006)i Ft(5)p Fh(:)p Ft(11.)523 4924 y(And)26 b(the)g(medians)f(of)g (the)h(initial)g(errors)d(are)h(3.10,)g(2.90,)h(and)g(3.16,)f(while)h (the)h(medians)p eop end end %%Page: 7 7 TeXDict begin HPSdict begin 7 6 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 515 125 a SDict begin H.S end 515 125 a 515 125 a SDict begin H.R end 515 125 a 515 125 a SDict begin [/View [/XYZ H.V]/Dest (page.7) cvn /DEST pdfmark end 515 125 a 1163 232 a Fo(An)25 b(Baseline)i(for)g(Rigid)f(2D/3D)g(Registration)h(Using) f(CMA-ES)237 b(7)523 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Fo(12.)43 b(Miao,)36 b(S.,)e(Piat,)i(S.,)e(Fisc)n (her,)h(P)-6 b(.,)35 b(T)-6 b(uysuzoglu,)35 b(A.,)f(Mew)n(es,)i(P)-6 b(.,)35 b(Mansi,)h(T.,)f(Liao,)h(R.:)663 2366 y(Dilated)31 b(fcn)g(for)g(m)n(ulti-agen)n(t)f(2d/3d)h(medical)g(image)g (registration.)h(In:)f(Pro)r(ceedings)h(of)663 2457 y(the)25 b(AAAI)f(Conference)j(on)f(Arti\014cial)g(In)n(telligence.)h(v)n(ol.)f (32)g(\(2018\))523 2476 y SDict begin H.S end 523 2476 a 523 2476 a SDict begin 11 H.A end 523 2476 a 523 2476 a SDict begin [/View [/XYZ H.V]/Dest (cite.neumann2020deep) cvn /DEST pdfmark end 523 2476 a 73 x Fo(13.)43 b(Neumann,)24 b(C.,)j(T\177)-38 b(onnies,)27 b(K.D.,)f(P)n(ohle-F)-6 b(r\177)-38 b(ohlic)n(h,)27 b(R.:)f(Deep)f(similarit)n(y)i(learning)f (using)h(a)663 2640 y(siamese)21 b(resnet)g(trained)g(on)f(similarit)n (y)h(lab)r(els)h(from)f(disparit)n(y)g(maps)f(of)h(cerebral)h(mra)e (mip)663 2731 y(pairs.)26 b(In:)f(Medical)h(Imaging)f(2020:)i(Image)e (Pro)r(cessing.)i(v)n(ol.)f(11313,)h(pp.)e(672{681.)j(SPIE)663 2823 y(\(2020\))523 2841 y SDict begin H.S end 523 2841 a 523 2841 a SDict begin 11 H.A end 523 2841 a 523 2841 a SDict begin [/View [/XYZ H.V]/Dest (cite.powell1964efficient) cvn /DEST pdfmark end 523 2841 a 73 x Fo(14.)43 b(P)n(o)n(w)n(ell,)33 b(M.J.:)f(An)f(e\016cien)n(t)g(metho)r(d)f(for)i(\014nding)e(the)h (minim)n(um)d(of)k(a)f(function)g(of)h(sev-)663 3005 y(eral)24 b(v)l(ariables)f(without)h(calculating)g(deriv)l(ativ)n(es.)f (The)h(computer)e(journal)i Fm(7)p Fo(\(2\),)f(155{162)663 3097 y(\(1964\))523 3115 y SDict begin H.S end 523 3115 a 523 3115 a SDict begin 11 H.A end 523 3115 a 523 3115 a SDict begin [/View [/XYZ H.V]/Dest (cite.unberath2021impact) cvn /DEST pdfmark end 523 3115 a 73 x Fo(15.)43 b(Un)n(b)r(erath,)22 b(M.,)h(Gao,)h(C.,)g(Hu,)e(Y.,)h(Judish,)g(M.,)h(T)-6 b(a)n(ylor,)24 b(R.H.,)e(Armand,)g(M.,)h(Grupp,)g(R.:)663 3279 y(The)k(impact)g(of)i(mac)n(hine)d(learning)j(on)e(2d/3d)h (registration)i(for)e(image-guided)f(in)n(terv)n(en-)663 3371 y(tions:)21 b(A)g(systematic)f(review)i(and)f(p)r(ersp)r(ectiv)n (e.)g(F)-6 b(ron)n(tiers)21 b(in)g(Rob)r(otics)g(and)g(AI)f Fm(8)p Fo(,)i(716007)663 3462 y(\(2021\))523 3481 y SDict begin H.S end 523 3481 a 523 3481 a SDict begin 11 H.A end 523 3481 a 523 3481 a SDict begin [/View [/XYZ H.V]/Dest (cite.van2011evaluation) cvn /DEST pdfmark end 523 3481 a 72 x Fo(16.)43 b(V)-6 b(an)29 b(Der)h(Bom,)g(I.,)g(Klein,)h(S.,)f (Staring,)h(M.,)g(Homan,)f(R.,)g(Bartels,)i(L.W.,)f(Pluim,)f(J.P)-6 b(.:)663 3645 y(Ev)l(aluation)23 b(of)h(optimization)g(metho)r(ds)e (for)j(in)n(tensit)n(y-based)d(2d-3d)h(registration)i(in)e(x-ra)n(y)663 3736 y(guided)28 b(in)n(terv)n(en)n(tions.)h(In:)g(Medical)h(Imaging)f (2011:)h(Image)f(Pro)r(cessing.)i(v)n(ol.)f(7962,)g(pp.)663 3827 y(657{671.)e(SPIE)e(\(2011\))523 3846 y SDict begin H.S end 523 3846 a 523 3846 a SDict begin 11 H.A end 523 3846 a 523 3846 a SDict begin [/View [/XYZ H.V]/Dest (cite.zhang2023patient) cvn /DEST pdfmark end 523 3846 a 73 x Fo(17.)43 b(Zhang,)29 b(B.,)i(F)-6 b(aghihro)r(ohi,)31 b(S.,)e(Azamp)r(our,)g (M.F.,)i(Liu,)f(S.,)g(Ghotbi,)f(R.,)h(Sc)n(h)n(unk)n(ert,)e(H.,)663 4010 y(Na)n(v)l(ab,)i(N.:)h(A)f(patien)n(t-sp)r(eci\014c)g(self-sup)r (ervised)i(mo)r(del)e(for)i(automatic)e(x-ra)n(y/ct)g(regis-)663 4101 y(tration.)21 b(In:)g(In)n(ternational)g(Conference)h(on)e (Medical)i(Image)f(Computing)f(and)g(Computer-)663 4193 y(Assisted)26 b(In)n(terv)n(en)n(tion.)e(pp.)i(515{524.)i(Springer)e (\(2023\))523 4211 y SDict begin H.S end 523 4211 a 523 4211 a SDict begin 11 H.A end 523 4211 a 523 4211 a SDict begin [/View [/XYZ H.V]/Dest (cite.zhang2024spineclue) cvn /DEST pdfmark end 523 4211 a 73 x Fo(18.)43 b(Zhang,)36 b(S.,)g(Chen,)f(M.,)i (W)-6 b(u,)35 b(J.,)i(Zhang,)f(Z.,)g(Li,)g(T.,)h(Xue,)e(C.,)i(Kong,)f (Y.:)g(Spineclue:)663 4375 y(Automatic)28 b(v)n(ertebrae)h(iden)n (ti\014cation)g(using)g(con)n(trastiv)n(e)g(learning)h(and)f(uncertain) n(t)n(y)f(es-)663 4467 y(timation.)d(arXiv)h(preprin)n(t)f (arXiv:2401.07271)30 b(\(2024\))p eop end end %%Trailer end userdict /end-hook known{end-hook}if %%EOF