On the reliable readout of random discrete-point structures
An original approach is proposed to solve rather complex probabilistic problems of the readout of random discrete-point fields; these problems lack an exact analytical solution. Schemes are proposed for the direct, iterative, and combinatorially recursive analytical calculation of multidimensional i...
Saved in:
Published in | Pattern recognition and image analysis Vol. 25; no. 1; pp. 84 - 88 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Moscow
Pleiades Publishing
2015
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | An original approach is proposed to solve rather complex probabilistic problems of the readout of random discrete-point fields; these problems lack an exact analytical solution. Schemes are proposed for the direct, iterative, and combinatorially recursive analytical calculation of multidimensional integral expressions that describe the partial solutions of such problems; these solutions are further used to find general closed analytical dependencies. The huge volume of computations forced us to completely formalize the algorithms and to turn over the entire burden of routine analytical calculations to the computer. This helped us to find (and subsequently to prove) a number of new and previously unknown probability formulas that characterize the reliability of the readout of random discrete-point images when the readout is performed by multilevel integrators. Thus, we managed to carry out (which happens rather rarely in scientific practice) the idea expressed by J. von Neumann: when facing a complex problem that defies solution, the researcher resorts to computer calculations that “prompt” the correct answer to him and then strictly prove this answer. Another important point in our investigations is that we introduce the new concept of “three-dimensional generalized Catalan numbers” and find their explicit form, which is advantageously used for solving problems of registering and analyzing random discrete-point images. |
---|---|
AbstractList | An original approach is proposed to solve rather complex probabilistic problems of the readout of random discrete-point fields; these problems lack an exact analytical solution. Schemes are proposed for the direct, iterative, and combinatorially recursive analytical calculation of multidimensional integral expressions that describe the partial solutions of such problems; these solutions are further used to find general closed analytical dependencies. The huge volume of computations forced us to completely formalize the algorithms and to turn over the entire burden of routine analytical calculations to the computer. This helped us to find (and subsequently to prove) a number of new and previously unknown probability formulas that characterize the reliability of the readout of random discrete-point images when the readout is performed by multilevel integrators. Thus, we managed to carry out (which happens rather rarely in scientific practice) the idea expressed by J. von Neumann: when facing a complex problem that defies solution, the researcher resorts to computer calculations that "prompt" the correct answer to him and then strictly prove this answer. Another important point in our investigations is that we introduce the new concept of "three-dimensional generalized Catalan numbers" and find their explicit form, which is advantageously used for solving problems of registering and analyzing random discrete-point images. |
Author | Reznik, A. L. Efimov, V. M. Torgov, A. V. Solov’ev, A. A. |
Author_xml | – sequence: 1 givenname: A. L. surname: Reznik fullname: Reznik, A. L. email: reznik@iae.nsk.su organization: Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences – sequence: 2 givenname: V. M. surname: Efimov fullname: Efimov, V. M. organization: Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences – sequence: 3 givenname: A. A. surname: Solov’ev fullname: Solov’ev, A. A. organization: Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences – sequence: 4 givenname: A. V. surname: Torgov fullname: Torgov, A. V. organization: Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences |
BookMark | eNp1kE9LxDAQxYOs4O7qB_BW8OKlOkmatMGTLP6DhT2o55Jtp9qlm6xJe_DbO6UeRPEy82B-b-YxCzZz3iFj5xyuOJfZ9TMHlWnNC66AA5UjNudKqVQLLmakaZyO8xO2iHEHAAU3Ys5uNi7p3zEJ2LV2243C1n7oE98kwbra75O6jVXAHtODb12fxD4MVT8EjKfsuLFdxLPvvmSv93cvq8d0vXl4Wt2u00roDFLKZHIjBDa1JFGhQZPlymqd51JqkmiKSmaq0UqDAZsrrqQWZksA1Jlcsstp7yH4jwFjX-4pEnaddeiHWHLijCwKEIRe_EJ3fgiO0hGlQQNdHCk-UVXwMQZsykNo9zZ8lhzK8Z3ln3eSR0yeSKx7w_Bj87-mL2DudKs |
CitedBy_id | crossref_primary_10_1134_S1054661816040155 crossref_primary_10_25743_ICT_2018_23_5_007 crossref_primary_10_3103_S8756699016060017 |
Cites_doi | 10.1002/0471722162 10.1038/scientificamerican0676-120 10.1017/CBO9780511609589 10.1016/j.dam.2011.10.016 10.1134/S1054661812020125 10.1007/BF03024089 |
ContentType | Journal Article |
Copyright | Pleiades Publishing, Ltd. 2015 |
Copyright_xml | – notice: Pleiades Publishing, Ltd. 2015 |
DBID | AAYXX CITATION 3V. 7SC 7WY 7WZ 7XB 87Z 88I 8AL 8FD 8FE 8FG 8FK 8FL ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FRNLG F~G GNUQQ HCIFZ JQ2 K60 K6~ K7- L.- L6V L7M L~C L~D M0C M0N M2P M7S P5Z P62 PQBIZ PQBZA PQEST PQQKQ PQUKI PRINS PTHSS PYYUZ Q9U |
DOI | 10.1134/S1054661815010150 |
DatabaseName | CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts ABI/INFORM Collection ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Science Database (Alumni Edition) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni Edition) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central Business Premium Collection Technology Collection ProQuest One Community College ProQuest Central Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student SciTech Premium Collection (Proquest) (PQ_SDU_P3) ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database ABI/INFORM Professional Advanced ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Global Computing Database Science Database Engineering Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection One Business ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ABI/INFORM Collection China ProQuest Central Basic |
DatabaseTitle | CrossRef ABI/INFORM Global (Corporate) ProQuest Business Collection (Alumni Edition) ProQuest One Business Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ABI/INFORM Complete ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Central Korea Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global ProQuest Computing Engineering Database ProQuest Science Journals (Alumni Edition) ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ABI/INFORM China ProQuest Technology Collection ProQuest SciTech Collection ProQuest Business Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest One Academic ProQuest Central (Alumni) Business Premium Collection (Alumni) |
DatabaseTitleList | Computer and Information Systems Abstracts ABI/INFORM Global (Corporate) |
Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Applied Sciences Mathematics Computer Science |
EISSN | 1555-6212 |
EndPage | 88 |
ExternalDocumentID | 3614386751 10_1134_S1054661815010150 |
Genre | Feature |
GroupedDBID | -59 -5G -BR -DT -EM -Y2 -~C .VR 06D 0R~ 0VY 123 1N0 29O 2J2 2JN 2JY 2KG 2KM 2LR 2VQ 2~H 30V 3V. 4.4 408 40D 40E 5VS 642 6NX 7WY 88I 8FE 8FG 8FL 95- 95. 95~ 96X AAAVM AABHQ AAFGU AAHNG AAIAL AAJKR AANZL AAPBV AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABBBX ABDZT ABECU ABFGW ABFTD ABFTV ABHFT ABHLI ABHQN ABJCF ABJNI ABJOX ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFS ACGOD ACHSB ACHXU ACIGE ACIPQ ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACREN ACSNA ACTTH ACVWB ACWMK ADHHG ADHIR ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADYOE ADZKW AEBTG AEFTE AEGNC AEJHL AEJRE AEKMD AEOHA AEPYU AESTI AETLH AEVLU AEVTX AEXYK AFGCZ AFKRA AFLOW AFNRJ AFQWF AFWTZ AFYQB AFZKB AGAYW AGDGC AGGBP AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMTXH AMXSW AMYLF AMYQR AOCGG ARAPS ARMRJ ASPBG AVWKF AXYYD AZFZN AZQEC B-. BA0 BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ CAG CCPQU COF CS3 CSCUP DDRTE DNIVK DPUIP DU5 DWQXO EBLON EBS EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GROUPED_ABI_INFORM_COMPLETE HCIFZ HF~ HG6 HLICF HMJXF HRMNR HVGLF HZ~ IJ- IKXTQ IWAJR IXD I~X I~Z J-C JBSCW JZLTJ K60 K6V K6~ K7- KOV KZ1 L6V LLZTM LMP M0C M0N M2P M4Y M7S MA- N2Q N9A NB0 NPVJJ NQJWS NU0 O9- O93 O9J P62 P9O PF0 PQBIZ PQQKQ PROAC PT4 PTHSS Q2X QOS R89 R9I RNS ROL RSV S16 S1Z S27 S3B SAP SCO SDH SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TSG TUC UG4 UNUBA UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 XU3 YLTOR Z7R Z7X Z83 Z88 ZMTXR ~A9 AACDK AAJBT AASML AAYXX ABAKF ACAOD ACDTI ACZOJ AEFQL AEMSY AFBBN AGRTI AIGIU CITATION H13 PQBZA 7SC 7XB 8AL 8FD 8FK JQ2 L.- L7M L~C L~D PQEST PQUKI PRINS Q9U |
ID | FETCH-LOGICAL-c2640-18197922efd3979ce9e9475a6677336475e98c345f656090a75153629b6770d43 |
IEDL.DBID | BENPR |
ISSN | 1054-6618 |
IngestDate | Fri Aug 16 07:58:55 EDT 2024 Thu Oct 10 20:06:09 EDT 2024 Thu Sep 12 17:10:04 EDT 2024 Sat Dec 16 11:59:58 EST 2023 |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 1 |
Keywords | analytical computer calculations random discrete-point field multidimensional integration three-dimensional Catalan numbers |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c2640-18197922efd3979ce9e9475a6677336475e98c345f656090a75153629b6770d43 |
Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
PQID | 1660607332 |
PQPubID | 54522 |
PageCount | 5 |
ParticipantIDs | proquest_miscellaneous_1677938802 proquest_journals_1660607332 crossref_primary_10_1134_S1054661815010150 springer_journals_10_1134_S1054661815010150 |
PublicationCentury | 2000 |
PublicationDate | 1-2015 2015-1-00 20150101 |
PublicationDateYYYYMMDD | 2015-01-01 |
PublicationDate_xml | – year: 2015 text: 1-2015 |
PublicationDecade | 2010 |
PublicationPlace | Moscow |
PublicationPlace_xml | – name: Moscow – name: Dordrecht |
PublicationTitle | Pattern recognition and image analysis |
PublicationTitleAbbrev | Pattern Recognit. Image Anal |
PublicationYear | 2015 |
Publisher | Pleiades Publishing Springer Nature B.V |
Publisher_xml | – name: Pleiades Publishing – name: Springer Nature B.V |
References | GardnerMMathematical games, Catalan numbers: an integer sequence that materializes in unexpected placesSci. Amer.1976234612012510.1038/scientificamerican0676-120 StanimirovicSStanimirovicPIlicABallot matrix as Catalan matrix power and related identitiesDiscrete Appl. Math.2012160334435110.1016/j.dam.2011.10.0161236.050182862341 ReznikA LEfimovV ESolov’evA ATorgovA VGeneralized Catalan numbers in problems of processing of random discrete imagesAvtometriya20114761115 WilksS SMathematical Statistics1962New York-LondonJ. Wiley and Sons0173.45805 ReznikA LEfimovV MAnalytical computer calculations in analysis of discrete-point imagesPattern Recogn. Image Anal.2003101158160 ReznikA LEfimovV ESolov’evA ATorgovA AErrorless readout of random discretepoint fieldsAvtometriya2012485506514 FellerWAn Introduction to Probability Theory and Its Applications19683rd ed.New YorkWiley0155.23101 ChamberlandMFrenchCGeneralized Catalan numbers and generalized Hankel transformationsJ. Integ. Seq.200710172268452 ReznikA LComputer modeling of continuous readout of random discrete-structural imagesAvtometriya1981636 DavidH ANagarajaH NOrder Statistics2003New YorkJohn Wiley10.1002/04717221621053.62060 ReznikA LEfimovV MTorgovA VSolov’evA AAnalytical computer calculations in problems with random division of an intervalPattern Recogn. Image Anal. Adv. Math. Theory Appl.201222235435910.1134/S1054661812020125 HiltonPPedersenJCatalan numbers, their generalization, and their usesMath. Int.199113647510.1007/BF030240890767.050101098222 ParzenEModern Probability Theory and Its Applications1960New York-LondonJohn Wiley and Sons0089.33701 StanleyR PEnumerative Combinatorics199910.1017/CBO9780511609589 KocCGulogluIEsinSGeneralized Catalan numbers, sequences and polynomialsTurk J. Math.2010344414491231.050062721958 ReznikA LEfimovV MSolov’evA AComputer-analytical calculation of the probability characteristics of readout of random point imagesAvtometriya2011471711 H A David (4552_CR3) 2003 C Koc (4552_CR7) 2010; 34 E Parzen (4552_CR1) 1960 W Feller (4552_CR5) 1968 A L Reznik (4552_CR10) 1981; 6 A L Reznik (4552_CR11) 2011; 47 S S Wilks (4552_CR2) 1962 S Stanimirovic (4552_CR6) 2012; 160 P Hilton (4552_CR16) 1991; 13 A L Reznik (4552_CR13) 2012; 48 A L Reznik (4552_CR4) 2003; 10 M Chamberland (4552_CR8) 2007; 10 R P Stanley (4552_CR9) 1999 M Gardner (4552_CR15) 1976; 234 A L Reznik (4552_CR14) 2011; 47 A L Reznik (4552_CR12) 2012; 22 |
References_xml | – volume-title: Order Statistics year: 2003 ident: 4552_CR3 doi: 10.1002/0471722162 contributor: fullname: H A David – volume: 47 start-page: 7 issue: 1 year: 2011 ident: 4552_CR11 publication-title: Avtometriya contributor: fullname: A L Reznik – volume: 48 start-page: 506 issue: 5 year: 2012 ident: 4552_CR13 publication-title: Avtometriya contributor: fullname: A L Reznik – volume: 234 start-page: 120 issue: 6 year: 1976 ident: 4552_CR15 publication-title: Sci. Amer. doi: 10.1038/scientificamerican0676-120 contributor: fullname: M Gardner – volume-title: Enumerative Combinatorics year: 1999 ident: 4552_CR9 doi: 10.1017/CBO9780511609589 contributor: fullname: R P Stanley – volume-title: Mathematical Statistics year: 1962 ident: 4552_CR2 contributor: fullname: S S Wilks – volume-title: An Introduction to Probability Theory and Its Applications year: 1968 ident: 4552_CR5 contributor: fullname: W Feller – volume: 10 start-page: 1 year: 2007 ident: 4552_CR8 publication-title: J. Integ. Seq. contributor: fullname: M Chamberland – volume: 10 start-page: 158 issue: 1 year: 2003 ident: 4552_CR4 publication-title: Pattern Recogn. Image Anal. contributor: fullname: A L Reznik – volume: 47 start-page: 11 issue: 6 year: 2011 ident: 4552_CR14 publication-title: Avtometriya contributor: fullname: A L Reznik – volume: 6 start-page: 3 year: 1981 ident: 4552_CR10 publication-title: Avtometriya contributor: fullname: A L Reznik – volume: 160 start-page: 344 issue: 3 year: 2012 ident: 4552_CR6 publication-title: Discrete Appl. Math. doi: 10.1016/j.dam.2011.10.016 contributor: fullname: S Stanimirovic – volume-title: Modern Probability Theory and Its Applications year: 1960 ident: 4552_CR1 contributor: fullname: E Parzen – volume: 22 start-page: 354 issue: 2 year: 2012 ident: 4552_CR12 publication-title: Pattern Recogn. Image Anal. Adv. Math. Theory Appl. doi: 10.1134/S1054661812020125 contributor: fullname: A L Reznik – volume: 34 start-page: 441 year: 2010 ident: 4552_CR7 publication-title: Turk J. Math. contributor: fullname: C Koc – volume: 13 start-page: 64 year: 1991 ident: 4552_CR16 publication-title: Math. Int. doi: 10.1007/BF03024089 contributor: fullname: P Hilton |
SSID | ssj0008192 |
Score | 2.0298502 |
Snippet | An original approach is proposed to solve rather complex probabilistic problems of the readout of random discrete-point fields; these problems lack an exact... |
SourceID | proquest crossref springer |
SourceType | Aggregation Database Publisher |
StartPage | 84 |
SubjectTerms | Algorithms Analysis Analysis and Understanding of Images Computer Science Computers Image analysis Image Processing and Computer Vision Image processing systems Integral equations Mathematical analysis Mathematical models Multilevel Pattern Recognition Processing Recursive Representation Software packages Studies Three dimensional |
SummonAdditionalLinks | – databaseName: SpringerLINK - Czech Republic Consortium dbid: AGYKE link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT8JAEJ4QuOhBFDWiaNbEk6YI7W7bjSdiQKJBD0qCp2a73SYEbQm0F3-9s33gAz1w226n23Rf881O5xuAC-Ug7A4sZVDJpEFDZuGao5YhGROBsgRzTB3vPHq0h2N6P2GTCpiro4to1i49ktlGnacdodfPCAQoKhMXEUw3N9NrTPN9VaHWu3t96K_2X03xlfk4GTX0A4Uv889GfmqjL4j5yyuaKZtBPQ8AXGYchfofk1k7Tfy2_FhncNzgO3Zhp8CepJdPlj2oqKgB9QKHkmKVL7GqTPVQ1jVge7Sid13uw81TRPCSLNTbVIdeYUEEcZqQOCSo-4L4neho3wUCcmMeT6OE5DS1Kdr2BzAe9F9uh0aRhcGQCJa047fLHW6aKgy0D1Aqrjh1mLBtR1MpYlFxV1qUhZrHh3eEgxAJ1SL3UaATUOsQqlEcqSMg0uZuKDSdkG-hXUeFFFS5XWX6yueOz5pwWY6GN8_JNrzMSLGot9ZvTWiV4-UV627pdW00yHQeSrMJ56vbuGK0G0REKk61jIObEu5bKHNVjtG3Jv574fFG0iewhdiK5ac1LahiN6tTxC-Jf1ZM2E_mhuCK priority: 102 providerName: Springer Nature |
Title | On the reliable readout of random discrete-point structures |
URI | https://link.springer.com/article/10.1134/S1054661815010150 https://www.proquest.com/docview/1660607332 https://search.proquest.com/docview/1677938802 |
Volume | 25 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3dS8MwED90e9EHv8XpHBF8Uoq2SdoGH8TJpihO8QP0qaRpCoK2023_v3dbOr_Qp7bX0MAluftdfs0dwK6NEHZn3HrCSOOJXHJcc4J7RkqdWa5lFNB556teeP4gLh7lo9twG7jfKiubODbUWWloj_zADxFqU4XB4Lj_5lHVKGJXXQmNWagHviCatt7u9G5up7aY0n2N-U4pPPREseM1fS4O7khIMoREPsX93z3TJ9z8wZCOHU93CRYcYmQnkyFehhlbrMCiQ4_Mrc0BiqoCDZVsBeavpklZB6twdF0wfGTv9uWZDkzhjc7K0ZCVOUOPlZWvjM7oviOM9vrlczFkk-SyI4zI1-Ch27k_Pfdc7QTPIMQhutZXkQoCm2fE3BmrrBKR1GEYUQJEvLUqNlzInLLvqEMdIbBBZ6ZSbHCYCb4OtaIs7AYwE6o415QEKOUYjQlttLCxb4PUpipKZQP2Kr0l_UmKjGQcWnCR_FJyA5qVZhO3WgbJ59g2YGf6Guc5kRe6sOWI2kRoStDaYJv9akS-fOKvDjf_73AL5hACycmmShNqqFe7jTBjmLZgNu6etaB-0m23e3Q9e7rstNwM-wBwJc5F |
link.rule.ids | 315,786,790,12792,21416,27955,27956,33406,33407,33777,33778,41114,42183,43633,43838,52144 |
linkProvider | ProQuest |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LT8MwDLZgHIADb8RgQJA4gSrWJmkbcUAIMcZjcAAkblWaphIStINt_x-7S8dLcEvdqJGcxP6cr7EB9m2EsDvj1hNGGk_kkuOeE9wzUurMci2jgO47927D7qO4epJP7sBt4H6rrG1iZaiz0tAZ-ZEfItSmCoPBSf_No6pRxK66EhrTMCN4yGmdx52LiSWmZF8V2ymFh34odqymz8XRPQlJhoDIp6j_u1_6BJs_-NHK7XSWYMHhRXY6nuBlmLLFCiw67MjczhygqC7PUMtWYL43Sck6WIXju4LhI3u3L890XQobOitHQ1bmDP1VVr4yuqH7jiDa65fPxZCNU8uOMB5fg8fO-cNZ13OVEzyDAIfIWl9FKghsnhFvZ6yySkRSh2FE6Q-xaVVsuJA55d5RbR0hrEFXplLs0M4EX4dGURZ2A5gJVZxrSgGUcozFhDZa2Ni3QWpTFaWyCQe13pL-OEFGUgUWXCS_lNyEVq3ZxO2VQfI5s03Ym7zGVU7UhS5sOaI-ERoStDXY57CekS-f-GvAzf8H3IXZ7kPvJrm5vL3egjkEQ3J8vNKCBurYbiPgGKY71ar6AAcYy9Y |
linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dT4MwEL-YLTH64HRqnE6tiU8a1EELa3xadHN-bJrokvmEpZTEqLBs7MW_3uso8_vB-AalFGh7vd9xvd8B7CoPYXfoKItKJi0aMQdljjqWZEyEyhHMs3W8c6frtnv0os_6Js_pKN_tnrsks5gGzdIUp4eDMDI5SOjhLaICipqljnCmltnsRYpSSwtQbJzdXzani7Hm-5o4PBm19A3GsfljI59V0zve_OIinWieVgke8nfONpw8HYzT4EC-fqFz_MdHLcKCQaWkkU2jJZhRcRlKBqESI_8jLMqTQORlZZjvTIlfR8twfB0TPCVD9fyog7LwQITJOCVJRFArhskL0XHAQ4Tq1iB5jFOSEdiO0epfgV6reXfStkx-BksijNIu4Rr3uG2rKNTeQam44tRjwnU9TbKIh4rXpUNZpBl--JHwEDyhwuQBVjgKqbMKhTiJ1RoQ6fJ6JDTRUOCgxUeFFFTVa8oOVMC9gFVgLx8af5DRcPgT88Wh_rd-q0A1HzzfSOTIr7loqukMlXYFdqaXUZa0g0TEKhnrOh4uV7iiYZ39fLw-NPHbA9f_VHsbZm9OW_7VefdyA-YQgLHsl04VCtjjahNBThpsmYn8BmJ47Tk |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+the+reliable+readout+of+random+discrete-point+structures&rft.jtitle=Pattern+recognition+and+image+analysis&rft.au=Reznik%2C+A+L&rft.au=Efimov%2C+V+M&rft.au=Solov%27ev%2C+A+A&rft.au=Torgov%2C+A+V&rft.date=2015-01-01&rft.pub=Springer+Nature+B.V&rft.issn=1054-6618&rft.eissn=1555-6212&rft.volume=25&rft.issue=1&rft.spage=84&rft_id=info:doi/10.1134%2FS1054661815010150&rft.externalDocID=3614386751 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1054-6618&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1054-6618&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1054-6618&client=summon |