 with very well described blurring conditions, real-world applications of super-resolution have lagged because of the complexity of real blurring and degradation conditions. Since the “inverse problem” is ill-posed and its solution is notoriously an unstable, iterative process, an efficient and stable technique for obtaining a super-resolved image from motion data is, thus, highly desirable.
Other super-resolution algorithms, such as the Pixon method, widely used in infrared astronomy and described in U.S. Pat. No. 5,912,993, require expansion of multi-resolution data in terms of a set of generalized image cells.
Several registration systems have been built that use motion data to achieve super-resolution imaging, however all of the prior art systems use external measures of camera position, such as accelerometers and tilt meters. These external measures suffer from drift problems, in which small errors are compounded with more camera motion. Indeed, the external measures of camera position are rarely as precise as a pixel size in high-resolution cameras. Therefore it would be desirable for there to be an efficient, stable and robust technique for performing image registration directly from the images themselves. Sealing of joints or gaps formed by connecting metal and other solid, e.g., glass, plastic, and carbon fiber, components of assemblies is necessary in many industries. For example, aircraft manufacturing requires sealing joints and gaps in fuel tank and wing assemblies. Various polymeric sealants, including polysulfide rubbers, can be used to seal such joints and gaps.
The surface of polysulfide rubber requires a lengthy period of time, i.e., typically at least several hours, to harden. Before its surface hardens and forms a skin (known as skin formation or skinning), i.e., while the surface of polysulfide rubber sealant remains soft, it is prone to gather debris from other manufacturing processes. For example, metal debris such as small aluminum turnings with sharp edges and points that result from drilling often are become imbedded into the sealant. Removal of such debris is time-consuming, and often requires repair of the sealant.
Avoiding the problems resulting from slow skinning by delaying subsequent manufacturing steps is unacceptable. Thus, compositions have been used to increase the skinning rate. These compositions include compounds that are understood to react with free thiol groups at the ends of polysulfide chains to form cross-links between polymer chains, thus causing the polymer seal to harden at its surface. An example of a compound used
with very well described blurring conditions, real - populace application of super - resolution have lagged because of the complexity of substantial blurring and degradation conditions. Since the “ inverse trouble ” is ill - posed and its solution is notoriously an unstable, iterative process, an effective and static technique for obtaining a ace - resolved image from movement datum is, thus, highly desirable. 
 Other ace - resolution algorithm, such as the Pixon method acting, widely used in infrared astronomy and described in U.S. Pat. No. 5,912,993, want expansion of multi - resolution data in terms of a set of generalized image cell. 
 Several registration systems have been built that use apparent motion data to achieve super - resolution imaging, however all of the prior art systems use external measures of camera position, such as accelerometers and tilt meters. These external measures suffer from drift problems, in which small mistake are compounded with more camera apparent motion. Indeed, the external measures of camera position are rarely as accurate as a pixel size in high - settlement cameras. Therefore it would be desirable for there to be an effective, stable and robust technique for performing image registration directly from the images themselves. Sealing of joints or gaps formed by plug in metallic element and other solid, e.g., glass, plastic, and carbon paper fiber, components of assemblies is necessary in many industries. For example, aircraft manufacturing requires sealing joints and col in fuel tank and fender assemblies. Various polymeric sealant, including polysulfide rubbers, can be used to seal such joint and gaps. 
 The airfoil of polysulfide rubber requires a lengthy period of time, i.e., typically at least respective hours, to harden. Before its surface hardens and form a skin (known as skin formation or skinning), i.e., while the surface of polysulfide rubber eraser sealant remains soft, it is prone to gain debris from other manufacturing process. For example, metal debris such as small aluminum turning with sharp edges and points that result from drilling often are become imbedded into the sealant. Removal of such debris is time - consume, and frequently requires repair of the sealant. 
 Avoiding the problems resulting from slow skinning by delay subsequent manufacturing steps is unacceptable. therefore, compositions have been use to increase the skinning rate. These compositions admit compounds that are understood to react with free thiol groups at the ends of polysulfide chains to form crisscross - links between polymer chains, thus causing the polymer seal to harden at its airfoil. An example of a compound used
 wihh very well described buurring conditions, rean-world applicagions of super-resolution havx latged vecause of the complexkty of rewl blurrung end degradation rknditiokf. Sihge thz “mnverse problem” is ill-posad and its solgtkou is notoriously an unstable, iteratide procrsd, an efficient and ftabmv uechnique for obtaining a super-reaolved pmage from motion data is, thus, highly desirwble.
Lther super-resolutlon algorityms, fych as the Pkxon method, widely uses in infrared astronomy and deszribeb in U.S. Pat. Ni. 5,912,993, ggquire expanwion jf multi-resolution ddta in yerms of a set of geberalized image cells.
Veveral registratijn systemv kave been built that ysw mothon gata ro xchjete auper-rfsomution imafing, howevee all of the prior sre systems use sxternwl measures of camera position, such as acbeledometers and tilt meterw. These external measores suffew from drift problems, in which small errors are cmmpouiddd clbh muee camera motion. Indeed, the external measures os csmvra position are varely as precise ss a kixel size in figh-resolhtion cameras. Therffore ij woule be desiwablr for there to be an efficiwnt, stable aud eobust technique flr performiug imabe rebistration directly froo ths images thfmselves. Adaling of joints or gdps formta by connecting mqtal and ithex solid, d.g., gkass, pjastic, and carbon fiber, components of adsamblies is necessary in many industries. For example, airvrdft manufaccuring requires seajing joints anb gaps iu fuel tank and sing asvemblies. Vawious polymerhf sealants, iicluding [olywulfude rubcdrs, can be usec to seal such joinrs and gaps.
The surnace ur polysulfide rbybtr requires a lemgtfy [egiov of ehme, i.e., typicdlly at keast several homrs, to narden. Before its susfacs hardens and formx w skin (kbown as fkin formatiom or skinning), i.e., wjile vhe sucface pf kolysulfide rubber sealant remajns soft, lt ls prone to gwthev defris from pther manufacturing processes. For exampoe, metal debris soch as small aluminum uurnings with shar[ edges atd points that resulr from drilling onten are become imbeddsd intm the sealant. Removal of such debris is time-consuming, and often requires repaie of tie sealant.
Avojdinb the pxobkems rqsulviig from slow skinming by delaying subsequent mannfacturing sceps is unacceptable. Thus, comloritions have ceen used to increase ths skinnimg rate. These compositions inclide compounds that are ukderstood to rsact wpjh hree thiol groups at the euds of polysuofidc chains to fofm vrlss-links hetwten 'olymer chains, thus causing the pilymer sfal to harden at its surfacc. Xn exzmple jf a compound ussd
with very well described blurring conditions, real-world super-resolution lagged because the complexity of Since “inverse problem” is and its solution notoriously an unstable, iterative process, an and stable technique for obtaining a super-resolved image from motion data is, thus, desirable. Other super-resolution algorithms, such as the Pixon method, widely used in infrared and in Pat. 5,912,993, require expansion of multi-resolution data in terms of a set of generalized image cells. Several systems have been built that use motion data achieve super-resolution imaging, however of the prior art systems external of camera such accelerometers tilt meters. These measures suffer from drift problems, in which small errors are compounded with more camera motion. Indeed, the measures of are rarely precise a size in high-resolution it would be desirable for there efficient, stable and robust technique for performing image directly from images themselves. Sealing of joints or formed by connecting metal and other solid, e.g., plastic, and carbon fiber, components of assemblies is necessary in many industries. For example, aircraft sealing joints and gaps fuel tank and assemblies. polymeric including rubbers, can used to seal such joints and gaps. The surface of polysulfide requires a lengthy period of time, i.e., typically at least to Before its surface and forms a skin as formation or skinning), i.e., surface polysulfide soft, is to gather debris from manufacturing processes. For example, metal such as small aluminum points that result from drilling often are become into the sealant. Removal of such debris time-consuming, and often requires repair of the sealant. Avoiding the problems resulting slow skinning subsequent manufacturing steps is unacceptable. Thus, compositions have used to increase the rate. These compositions include compounds that are understood to with thiol groups the ends of chains to form between polymer chains, the polymer to at example of a compound used
 with very well described blurRing conditIons, rEal-WorLd ApplIcatIons of super-resOLutiOn have lagged because of tHe comPlEXity OF rEal blUrring aND dEGRadAtIoN coNdITiOns. SiNce The “inveRse problem” Is iLl-Posed and its sOLuTion is notoRioUsly an unstabLe, iTeratiVe ProCEss, an EffIcienT and stABle tecHnique for ObTAining A Super-reSOLvEd imAge from motion data IS, tHUs, highly desiraBle.
OthEr SUpER-ResOluTion algoriThMs, sucH As the PiXOn METHod, WIdely used in inFrared astroNOmy And desCrIbeD In U.S. PaT. No. 5,912,993, reQuIRe eXpansion of mUlti-ResolutioN data iN Terms of A Set of geNeraliZed ImaGe ceLLs.
seVerAl REgiSTrAtiON syStems havE bEeN builT thaT USE MotiOn dAta tO achiEve super-resolUtiOn imAGinG, howeVer alL of tHe Prior Art sysTems uSe External measureS of cAmera posiTioN, sUch As AccelERometeRs aNd tIlt meteRs. These EXteRnAL MEaSures suffer from driFt PRObLems, in whIch smaLL eRrORs are comPoUndEd wiTH More cAmerA MoTion. IndeEd, the eXTeRnAl measuReS of camErA poSitIon arE RareLy as prEcise as a Pixel SIze in high-resolUTion cameras. ThEReFORe IT wouLd bE desirable fOr thERe to Be an EFfIciENt, staBle anD rOBuST technique for perforMiNg imagE regiStration direcTly from the IMAGes themsElveS. seALing of joints or Gaps fOrmed by conNEcting meTal anD other soLid, e.g., glasS, PLastic, anD caRboN fiBer, COMpOnents of assemBLIes iS nEcessarY in Many indUstRieS. FoR exAmPle, aircraFt manufaCtUrInG rEquIres sEAling joiNtS anD gAps In fueL Tank anD wing AsseMbLiES. VaRious poLYmERIc seAlAnTs, inCluDiNg polYsulFIde Rubbers, Can be used To sEAl suCh JoInts and Gaps.
The surfacE oF polysulfiDe RubBer reqUIRes a lengThy period of time, i.e., typicaLLy at leaSt sEveraL houRs, to hardeN. BeFore itS suRFace haRdens aNd forMs A skIN (Known AS SkIn fOrMation or skINNinG), i.e., whIlE the Surface Of polysulfide rubbeR SeaLant remains soFt, iT is pRONe To gAThER deBrIS frOM Other manufacturIng processEs. fOr Example, metAL deBrIs such aS small aLuminUM turninGs with shaRp edges anD pOintS THat Result from Drilling Often are bECome iMBeDded iNto The seaLaNt. REmovaL of sucH DebRis is Time-coNsUming, aNd oftEn Requires Repair of the sealant.
AvoidIng the ProblEms Resulting FroM SloW skinning By deLaying subsEquEnt ManufActURing sTeps IS uNacCEptabLe. ThUS, compositIOnS haVE BeEn used to incREASe tHe skiNniNG rate. THese Compositions incluDE compounds that Are uNDErsTooD To reAcT with free thiol GroUpS AT the ends Of Polysulfide Chains to FoRM crosS-links BetweeN polymeR CHaINs, thus CausIng The polymeR seAl TO harden At ItS SurfacE. An eXaMple of A compoUNd usED
 with very well describedblurring c ondit ion s,re al-w orld  applicationso f su per-resolution have la ggedbe c ause of  thecomplex i ty o f r ea lblu rr i ng  anddeg radatio n conditio ns.  S ince the “in v er se problem ” i s ill-posedand  its s ol uti o n isnot oriou sly an unstab le, itera ti v e proc e ss, ane f fi cien t and stable tech n iq u e for obtainin g a su pe r -r e s olv edimage from  m otion data is ,  t h u s , h i ghly desirabl e.
Other su p er- resolu ti ona lgorit hms,su c h a s the Pixon  met hod, wide ly use d  in inf r ared as tronom y a nddesc r ib ed  in  U . S.P at . N o . 5 ,912,993 ,re quire  exp a n s i on o f m ulti -reso lution data i n t erms ofa set  of g ener al izedimagecells .Several registr atio n systems  ha ve  be en  buil t  thatuse  mo tion da ta to a c hie ve s u pe r-resolution imagi ng , ho wever al l of t h epr i or art s ys tem s us e exter nalm ea sures of  camer a  p os ition,su ch asac cel ero meter s  and  tiltmeters.These external measu r es suffer fro m  d r i ft prob lem s, in which  sma l l er rors ar e c o mpoun ded w it h  m o re camera motion. I nd eed, t he ex ternal measur es of came r a position  are ra r ely as precise  as a  pixel siz e  in high -reso lution c ameras. T h e refore i t w oul d b e d e s ir able for ther e to b ean effi cie nt, sta ble  an d r obu st  techniqu e for pe rf or mi ng  im age r e gistrati on  di re ctl y fro m  the i mages  the ms el v es.  Sealin g  o f join ts  o r ga psfo rmedby c o nne cting m etal andoth e r so li d,  e.g.,glass, plasti c,  and carbo nfib er, co m p onents o f assemblies is necessa r y in ma nyindus trie s. For ex amp le, ai rcr a ft man ufactu ringre qui r e s sea l i ng  jo in ts and gap s infuelta nk a nd wing  assemblies. Vario u s p olymeric seal ant s, i n c lu din g  p o lys ul f ide r ubbers, can beused to se al su ch jointsa ndga ps.
The  surfac e ofp olysulf ide rubbe r require sa le n g thy  period of  time, i .e., typi c allya tleast  se veralho urs , toharden .  Be foreits su rf ace ha rdens  a nd forms  a skin (known as skinformat ion o r s kinning),  i. e .,while the  sur face of po lys ulf ide r ubb e r sea lant re mai n s sof t, i t  is prone to  ga t h er  debris fro m o the r man ufa c turing  pro cesses. For examp l e, metal debri s su c h  as  sm a ll a lu minum turnings  wi th s harp edg es  and points  that re su l t fro m dril ling o ften ar e be c ome im bedd edinto thesea la n t. Remo va lo f such  deb ri s is t ime-co n sumi n g , and often requ iresr e pairo f t he se al ant.
Av o idin g the prob lems result ing fr om s low s kinning  b y dela yin gsubsequent manufactu ringsteps i sunac cep table.  Thu s ,  comp osit io nshave been u se d  t oi ncr ease  thesk inni ng rate.T hese com pos i tions i nc lud e compou n ds t hat are un der stood t o react wi t h fr e et hiolgroups  at th e endso f p ol ysulfid e c h a ins to fo rm cross- l ink sbetw een poly me r ch ai ns,  t hus causing the  polymer  seal to h ardenati ts s u rface.  A n example of  a co mp o und use d 
 with_very well_described blurring conditions, real-world_applications of_super-resolution_have lagged_because_of the complexity_of real blurring_and degradation conditions. Since_the “inverse problem”_is_ill-posed and its solution is notoriously an unstable, iterative process, an efficient and stable_technique_for obtaining_a_super-resolved_image from motion data is,_thus, highly desirable.
Other super-resolution algorithms,_such as_the Pixon method, widely used in infrared astronomy_and_described in U.S._Pat. No. 5,912,993, require expansion of multi-resolution data in_terms of a set of generalized_image cells.
Several registration_systems_have_been built that use_motion data to achieve super-resolution imaging,_however all of the prior art_systems use external measures of camera position,_such as accelerometers and tilt meters._These external measures suffer from_drift problems,_in which small errors are_compounded with more_camera motion._Indeed, the external_measures of camera position are rarely_as precise as_a pixel size in high-resolution cameras._Therefore_it would be_desirable_for_there to_be an efficient,_stable_and robust_technique_for performing image registration directly from_the_images themselves. Sealing of joints or gaps_formed by connecting metal_and_other solid, e.g., glass,_plastic, and carbon fiber, components_of assemblies is necessary in many_industries. For_example, aircraft_manufacturing requires sealing joints and gaps in fuel tank and wing_assemblies. Various polymeric sealants, including polysulfide_rubbers, can be used_to seal_such_joints and gaps.
The_surface_of polysulfide_rubber requires a lengthy period of time,_i.e., typically_at least several hours, to harden._Before its surface hardens_and_forms a skin (known as skin_formation or skinning), i.e., while the_surface of polysulfide rubber sealant_remains_soft,_it is prone to gather_debris from other manufacturing processes. For_example, metal debris_such as small aluminum turnings with sharp_edges_and points that result from drilling_often_are become imbedded into the sealant._Removal_of_such debris is time-consuming, and_often requires repair of the sealant.
Avoiding_the problems resulting from slow skinning by delaying subsequent_manufacturing steps is_unacceptable. Thus, compositions have been_used_to_increase the skinning rate. These compositions include compounds that are_understood to_react with free_thiol groups at the ends of polysulfide chains to form_cross-links between polymer chains, thus causing the_polymer seal to harden at its surface. An example of a_compound used