 routinely monitored, it is too slow for control purposes. This has generated renewed interest in on-line techniques for the accurate and rapid measurement of moisture in iron ore on conveyors. Microwave transmission techniques have emerged over the past 40 years as the dominant technology for on-line measurement of moisture in bulk materials, including iron ores. Alternative technologies have their limitations. Infra-red analysers are used in a variety of process industries, but rely on the measurement of absorption by moisture in a very thin surface layer. Consequently such probes may be compromised by particle size effects and biased presentation of the bulk mater...

We consider real eigenfunctions of the Schroedinger operator in 2D. The nodal lines of separable systems form a regular grid, and the number of nodal crossings equals the number of nodal domains. In contrast, for wavefunctions of non-integrable systems nodal intersections are rare, and for random waves, the expected number of intersections in any finite area vanishes. However, nodal lines display characteristic avoided crossings which we study in this work. We define a measure for the avoidance range and compute its distribution for the random wave ensemble. We show that the avoidance range distribution of wavefunctions of chaotic systems follows the expected random wave distributions, whereas for wavefunctions of classically integrable but quantum non-separable systems, the distribution is quite different. Thus, the study of the avoidance distribution provides more support to the conjecture that nodal structures of chaotic systems are reproduced by the predictions of the random wave ensemble

Full Text Available We have studied experimentally the dynamics of the separation of a sheet of paper into two halves in a peeling conﬁguration. The experimental setup consists of a peeling device, where a fracture front is driven along the plane of the paper, with a constant force. The theoretical picture is how an elastic line interacts with a random landscape of fracture toughness. We compare the results with theoretical simulations in several aspects. One recent ﬁnding concerns the autocorrelation function of the average front position. The data from the experiments produces so-called cusps or singularities in the correlation function, as predicted by the functional renormalization group theory for elastic lines. Comparisons with simulations with either a short range or a long range elastic kernel demonstrate that the latter agrees with the experimental observations, as expected.

In this paper, we propose a novel approach to line matching based on homography. The basic idea is to use cheaply obtainable matched points to boost the similarity between two images. Two types of hom
routinely monitored, it is too slow for control determination. This has generate renewed interest in on - line proficiency for the accurate and rapid measurement of moisture in iron ore on conveyors. Microwave transmission proficiency have emerge over the past 40 years as the prevailing engineering for on - line measurement of moisture in bulk materials, admit iron ores. Alternative technologies accept their limitations. Infra - red analysers are used in a variety of procedure industries, but rely on the measurement of absorption by moisture in a very flimsy surface layer. Consequently such probes may be compromise by particle size effects and biased presentation of the bulk mater... 

 We consider real eigenfunctions of the Schroedinger hustler in 2D. The nodal lines of separable systems form a regular grid, and the numeral of nodal crossings equals the number of nodal domains. In contrast, for wavefunctions of non - integrable systems nodal intersections are rare, and for random waves, the expected number of intersection in any finite area vanishes. However, nodal lines expose characteristic avoid crossing which we study in this work. We define a measure for the avoidance range and compute its distribution for the random wave ensemble. We usher that the avoidance range distribution of wavefunctions of chaotic systems follows the expected random wave distributions, whereas for wavefunctions of classically integrable but quantum non - separable system, the distribution is quite different. Thus, the study of the avoidance distribution provides more support to the conjecture that nodal social organization of chaotic systems are reproduced by the predictions of the random wave ensemble 

 Full Text Available We have study experimentally the dynamics of the separation of a sheet of paper into two halves in a peeling conﬁguration. The experimental setup consists of a peel off device, where a fracture front is driven along the airplane of the paper, with a constant force. The theoretical picture is how an elastic note interacts with a random landscape of fracture formidability. We compare the results with theoretical simulations in several aspects. One recent ﬁnding concern the autocorrelation function of the median front position. The data from the experiments produces so - call cusps or singularities in the correlation coefficient function, as predicted by the functional renormalization group theory for elastic lines. Comparisons with simulations with either a brusque range or a long range elastic kernel demonstrate that the latter agrees with the experimental observations, as expect. 

 In this newspaper, we project a novel approach to line matching based on homography. The basic idea is to use stingily obtainable matched points to boost the similarity between two images. Two types of hom
 roktinely monitored, it is uoo slow for conttoo purpmses. Tgis has eenerated renewed interest ii on-oine uvchniques for the accjrate and rapid mwasucement of moistucs in iron ore ln cmiveyors. Microwaye transmisvion techniquev fare emerged over the past 40 years as tre domimajt technology sor pg-lins measurement of moisture in bulk jaterians, including oron ores. Alternative techjolohies have their lilitations. Ibfra-wwd analysers are used pu a variety of process industries, but rely on tke measuremgur ov absorption by mjisture in a very thhn surfsce layer. Conscquenvly wuch probes may be cokpromised by partisle size afyects and biased preswnratiot of the vuly mztxr...

Ws consldec real eigehfunctions if the Schroedinger o[vtator in 2D. Tge nodwl lines of separable systems form a regunar grid, and the number of nodal crossings equaps the nuiber of nodal domains. In contrast, for wavefunctiots of von-nkbegrxvlf systems nodal intersections are rare, and fow rsncom waves, the cxpected number of ijtrtsections in avy finnfe area vanishes. Howfver, noqal lunes dispjay vharacteristic avoided croswings which ce wtudy in this work. We define c measore fot the avoidance range aud comlute its didtributioh for the random davv envemble. Wt show that the avjidance renge bistribugion of wadefunctiond of gvaotic systems folpows jhe ex[ected ranfom wave distributions, whereas hpr wavefunctoots mf classncally integrable btt quantum non-xeparabje syrtems, the sistribntion is quiee different. Djus, the studb of the wvoieancw distrkcution providex more suipjrt ro the conjecture bhat vkdal structures of chaotic systemx afe weirovuced ty the prediwtiovs ug the random wavc evsemnle

Full Text Availabne Ws have studied exprrlmentally the dynwmics of the xeparation of a shtet of pa'er inyo jwo halves in a peeling conﬁgurafion. The fxpcrimental settp cinsists of a peeling device, where a fracture front ms driven along the plabe of the paper, witk s constant horce. Ehe theoratical picture is hoq an elastic line interacts with a ransom latdscaoe of fracture toughness. We compare the results with theoretical simulatiins in several aspscts. One gecznt ﬁnding conrecns the autocorrekation function of the average hront posidijn. The data from the experimrngs produces su-called cusps or singuladities im the correlation function, as ptedicted by the functionsl renornalizztion grou' theory for elastic lines. Compqrisons witm simulations ditn cither a sjort rcnge or a long range elastic kernwl demindtrate that the natter agrecs with the evperimental obsedvatjlns, ar expected.

In yhis paper, we lropose a novel apprmash to line matxging based om homoggaphy. The basmc idea is tm use cheaply obtainable matched points to boost thg similaritg betweek two images. Two jy'es of hom
routinely monitored, it is too slow for This generated renewed in on-line techniques measurement moisture in iron on conveyors. Microwave techniques have emerged over the past years as the dominant technology for on-line measurement of moisture in bulk materials, iron ores. Alternative technologies have their limitations. Infra-red analysers are used in a of industries, rely the measurement of absorption by moisture in a very thin surface layer. Consequently such probes may compromised by particle size effects and biased presentation the bulk mater... We real eigenfunctions of the Schroedinger in The nodal of systems a regular grid, the number of nodal crossings equals the number of nodal domains. In contrast, for wavefunctions of non-integrable nodal intersections and for waves, expected of intersections in area vanishes. However, nodal lines display which we study in this work. We define measure for avoidance range and compute its distribution the random wave ensemble. We show that the range distribution of wavefunctions of chaotic systems follows the expected random wave distributions, whereas for classically integrable but quantum systems, the distribution quite Thus, study the avoidance provides more support to the conjecture that nodal structures of chaotic are reproduced by the predictions of the random wave ensemble Available have studied experimentally dynamics of the separation a of paper into two a conﬁguration. consists a device, where a fracture is driven along the plane the paper, with a is how an elastic line interacts with a landscape of fracture toughness. We compare the with theoretical simulations in several aspects. One recent ﬁnding concerns the autocorrelation of the position. The data from the experiments produces so-called or singularities in the function, as predicted by the functional renormalization group theory elastic Comparisons with with either a range or a range elastic kernel the latter with experimental In this paper, we propose a approach line matching based on homography. basic to use cheaply obtainable matched points to boost the similarity between two images. Two types
 routinely monitored, it is too Slow for conTrol pUrpOseS. THis hAs geNerated renewed INterEst in on-line techniques fOr the AcCUratE AnD rapiD measurEMeNT Of mOiStUre In IRoN ore oN coNveyors. microwave tRanSmIssion techniQUeS have emergEd oVer the past 40 yeArs As the dOmInaNT techNolOgy foR on-linE MeasurEment of moIsTUre in bULk materIALs, InclUding iron ores. AlteRNaTIve technologieS have tHeIR lIMItaTioNs. Infra-red AnAlyseRS are useD In A VARieTY of process indUstries, but rELy oN the meAsUreMEnt of aBsorpTiON by Moisture in a Very Thin surfaCe layeR. consequENtly sucH probeS maY be CompROmIsEd bY pARtiCLe SizE EffEcts and bIaSeD presEntaTION Of thE buLk maTer...

We Consider real eIgeNfunCTioNs of tHe SchRoedInGer opErator In 2D. ThE nOdal lines of sepaRablE systems fOrm A rEguLaR grid, ANd the nUmbEr oF nodal cRossingS EquAlS THE nUmber of nodal domainS. IN COnTrast, for WavefuNCtIoNS of non-inTeGraBle sYSTems nOdal INtErsectioNs are rARe, AnD for ranDoM waves, ThE exPecTed nuMBer oF interSections In any FInite area vanisHEs. However, nodaL LiNES dISplaY chAracteristiC avoIDed cRossINgS whICh we sTudy iN tHIs WOrk. We define a measure FoR the avOidanCe range and comPute its disTRIBution foR the RAnDOm wave ensemble. we shoW that the avOIdance raNge diStributiOn of wavefUNCtions of ChaOtiC sySteMS FoLlows the expecTED ranDoM wave diStrIbutionS, whEreAs fOr wAvEfunctionS of classIcAlLy InTegRable BUt quantuM nOn-sEpAraBle sySTems, thE distRibuTiOn IS quIte diffEReNT. thus, ThE sTudy Of tHe AvoidAnce DIstRibutioN provides MorE SuppOrT tO the conJecture that noDaL structureS oF chAotic sYSTems are rEproduced by the predictioNS of the rAndOm wavE ensEmble

Full texT AvailAblE we have StudieD expeRiMenTALly thE DYnAmiCs Of the separATIon Of a shEeT of pAper intO two halves in a peeliNG coNﬁguration. The ExpErimENTaL seTUp COnsIsTS of A PEeling device, wheRe a fracturE fROnT is driven aLOng ThE plane oF the papEr, witH A constaNt force. ThE theoretiCaL picTURe iS how an elasTic line iNteracts wITh a raNDoM landScaPe of frAcTurE tougHness. WE ComPare tHe resuLtS with tHeoreTiCal simulAtions in several aspects. ONe receNt ﬁndIng Concerns tHe aUTocOrrelatioN funCtion of the AveRagE fronT poSItion. the dATa FroM The exPeriMEnts produCEs So-cALLeD cusps or sinGULAriTies iN thE CorrelAtioN function, as predicTEd by the functioNal rENOrmAliZAtioN gRoup theory for eLasTiC LInes. CompArIsons with siMulationS wITh eitHer a shOrt ranGe or a loNG RaNGe elasTic kErnEl demonstRatE tHAt the laTtEr AGrees wIth tHe ExperiMental OBserVATions, as expected.

IN this PAPer, we PRopOse a nOvEl approACh to Line matchiNg based on hoMograpHy. ThE basiC idea is To Use cheAplY oBtainable mATched poinTs to bOost the SiMilaRitY betweEn twO IMages. two tYpEs oF hom
 routinely monitored, it i s too slow  forcon tro lpurp oses . This has gen e rate d renewed interest inon-li ne tech n iq ues f or thea cc u r ate  a nd  ra pi d  m easur eme nt of m oisture in  ir on  ore on conv e yo rs. Microw ave  transmissio n t echniq ue s h a ve em erg ed ov er the past 4 0 years a st he dom i nant te c h no logy  for on-line meas u re m ent of moistur e in b ul k  m a t eri als , includin girono res. Al t er n a t ive technologieshave theirl imi tation s.  In f ra-red  anal ys e rsare used in  a v ariety of  proce s s indus t ries, b ut rel y o n t he m e as ur eme nt ofa bs orp t ion  by mois tu re  in a  ver y t h in s urf acelayer . Consequentl y s uchp rob es ma y becomp ro mised  by pa rticl esize effects an d bi ased pres ent at ion  o f the bulk m ate r.. .

We c onsider rea le i g en functions of the S ch r o ed inger op erator in  2 D . The no da l l ines o f sep arab l esystemsform a re gu lar gri d,  and t he  nu mbe r ofn odal  cross ings equ als t h e number of no d al domains. I n  c o n tr a st,for  wavefuncti onso f no n-in t eg rab l e sys temsno d al intersections are r ar e, and  forrandom waves,  the expec t e d  numberof i n te r sections in an y fin ite area v a nishes.Howev er, noda l lines d i s play cha rac ter ist ica v oi ded crossings w hich  w e study  in  this w ork . W e d efi ne  a measur e for th eav oi da nce  rang e  and com pu teit s d istri b utionfor t he r an do m  wa ve ense m bl e .  Wesh ow  tha t t he  avoi danc e  ra nge dis tribution  of wave fu nc tions o f chaotic sys te ms follows  t heexpect e d  randomwave distributions, whe r eas for  wa vefun ctio ns of cla ssi callyint e grable  but q uantu mnon - s epara b l esys te ms, the di s t rib ution  i s qu ite dif ferent. Thus, thes tud y of the avoi dan ce d i s tr ibu t io n  pr ov i des m ore support tothe conjec tu r ethat nodal str uc tures o f chaot ic sy s tems ar e reprodu ced by th epred i c tio ns of therandom w ave ensem b le

F u ll  Text  Av ailabl eWehavestudie d  ex perim entall ythe dy namic sof the s eparation of a sheet of  paper  into  tw o halvesina  pe eling con ﬁgur ation. The  ex per iment als etupcons i st s o f  a pe elin g  device,w he rea fr acture fron t i s d riven  al o ng the  pla ne of the paper,w ith a constant  for c e . T het heor et ical picture i s h ow a n elasti cline intera cts with  a rando m land scapeof frac t u re toughn ess.  We  comparethe  r e sults w it ht heoret ical  s imulat ions i n  sev e r al aspects. Onerecen t ﬁndin g  co ncern sthe aut o corr elation fu nction of t he ave rage  fron t posit io n. The  da ta  from thee xperiment s pro duces s o- call edcuspsor s i n gular itie sinthe corre l a ti o nfu n cti on,as pr ed icte d by thef unctiona l r e normali za tio n groupt he o r y for elas tic  line s .  Compariso n s wi t hs imula tionswith e ither a sho rt  rangeora long rang e elastic ker ne l de monstrat ethat  t hela tter agrees wit h the ex periment a l  obser vat i ons, as exp ec ted.

In thi s pap er ,  we pro p o sea novel app roa chto l ine  mat c hing based on homography . Th e bas i c i dea i s tous e cheapl y  obt ainablem atched points  to boost the s i mil a rity  be t we en  two imag es. Two t ypes  of  hom 
 routinely_monitored, it_is too slow for_control purposes._This_has generated_renewed_interest in on-line_techniques for the_accurate and rapid measurement_of moisture in_iron_ore on conveyors. Microwave transmission techniques have emerged over the past 40 years as_the_dominant technology_for_on-line_measurement of moisture in bulk_materials, including iron ores. Alternative_technologies have_their limitations. Infra-red analysers are used in a_variety_of process industries,_but rely on the measurement of absorption by moisture_in a very thin surface layer._Consequently such probes_may_be_compromised by particle size_effects and biased presentation of the_bulk mater...

We consider real eigenfunctions of_the Schroedinger operator in 2D. The nodal_lines of separable systems form a_regular grid, and the number_of nodal_crossings equals the number of_nodal domains. In_contrast, for_wavefunctions of non-integrable_systems nodal intersections are rare, and_for random waves,_the expected number of intersections in_any_finite area vanishes._However,_nodal_lines display_characteristic avoided crossings_which_we study_in_this work. We define a measure_for_the avoidance range and compute its distribution_for the random wave_ensemble._We show that the_avoidance range distribution of wavefunctions_of chaotic systems follows the expected_random wave_distributions, whereas_for wavefunctions of classically integrable but quantum non-separable systems, the distribution_is quite different. Thus, the study_of the avoidance distribution_provides more_support_to the conjecture_that_nodal structures_of chaotic systems are reproduced by the_predictions of_the random wave ensemble

Full Text Available_We have studied experimentally_the_dynamics of the separation of a_sheet of paper into two halves_in a peeling conﬁguration. The_experimental_setup_consists of a peeling device,_where a fracture front is driven_along the plane_of the paper, with a constant force._The_theoretical picture is how an elastic_line_interacts with a random landscape of_fracture_toughness._We compare the results with_theoretical simulations in several aspects. One_recent ﬁnding concerns the autocorrelation function of the average_front position. The_data from the experiments produces_so-called_cusps_or singularities in the correlation function, as predicted by the_functional renormalization_group theory for_elastic lines. Comparisons with simulations with either a short range_or a long range elastic kernel demonstrate_that the latter agrees with the experimental observations, as expected.

In this_paper, we propose a novel approach to line_matching based on homography. The basic idea_is to use cheaply_obtainable_matched points to boost the similarity between_two_images._Two_types of hom