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McCann; citation_volume=61; citation_publication_date=1971; citation_pages=1-11; citation_id=CR20",{"id":18,"text":335,"url":18,"identifiers":18},"citation_title=Linear and Non-Linear Programming; citation_publication_date=1987; citation_id=CR21; citation_author=D.G. Luenberger; citation_publisher=Addison-Wesley",{"id":18,"text":337,"url":18,"identifiers":18},"citation_journal_title=J. of the American Statistical Assoc.; citation_title=Probabilistic solution for ill-posed problems in computational vision; citation_author=J. Marroquin, J. Mitter, T. Poggio; citation_volume=82; citation_publication_date=1987; citation_pages=76-89; citation_id=CR22",{"id":18,"text":339,"url":18,"identifiers":18},"McCann, J. 1999. Lessons learned from mondrians applied to real images and color gamuts. In Proc. 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Terzopoulos; citation_volume=8; citation_publication_date=1986; citation_pages=129-139; citation_id=CR27",{"id":349,"createTime":350,"updateTime":350,"relativeEntities":351,"slug":352,"properties":353,"entityType":48,"verifyStatus":49,"verifyTime":350,"verifyNote":50,"languages":360,"translateLanguages":18,"viewCount":19,"primaryUrl":361,"fullTextUrl":362,"authors":363,"publicationType":101,"publisherRelationship":379,"citationCount":18,"citationInfo":18,"publishDate":400,"publishYear":401,"citationAnalyzeStatus":17,"lastCitationAnalyze":18,"indexDatabases":402,"openAccess":18,"references":403,"isForceReanalyzing":177},"e3bf9103-682f-43f3-b5a3-bf91caf1ff85","2024-11-29T13:18:39.753+00:00",[],"Diffeomorphisms-Groups-and-Pattern-Matching-in-Image-Analysis",{"title":354,"doi":356,"abstract":358},{"EN":355},"Diffeomorphisms Groups and Pattern Matching in Image Analysis",{"VOID":357},"10.1023\u002FA:1008001603737",{"EN":359},"In a previous paper, it was proposed to see the deformations of a common pattern as the action of an infinite dimensional group. We show in this paper that this approac h can be applied numerically for pattern matching in image analysis of digital images. Using Lie group ideas, we construct a distance between deformations defined through a metric given the cost of infinitesimal deformations. Then we propose a numerical scheme to solve a variational problem involving this distance and leading to a sub-optimal gradient pattern matching. Its links with fluid models are established.",[52],"https:\u002F\u002Fdoi.org\u002F10.1023\u002FA:1008001603737","https:\u002F\u002Flink.springer.com\u002Fcontent\u002Fpdf\u002F10.1023\u002FA:1008001603737.pdf",[364],{"id":365,"sortIndex":19,"researcher":18,"roles":366,"affiliations":367,"properties":376,"displayName":378,"givenName":18,"familyName":18},"bf1baccd-227e-4a04-8fe9-fef260aba2a0",[],[368],{"id":369,"sortIndex":19,"affiliation":370,"properties":18},"62673ea3-e874-4bc0-b1ac-f4fd2aca72dd",{"id":369,"createTime":18,"updateTime":18,"relativeEntities":371,"slug":18,"properties":372,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":375,"statistic":18},[],{"title":373},{"EN":374},"LAGA, Institut Galilée, Université, Villetaneuse, France. 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Amer. Stat. Ass.; citation_title=Structural image restoration through deformable templates; citation_author=Y. Amit, U. Grenander, M. Piccioni; citation_volume=86; citation_publication_date=1991; citation_pages=376-387; citation_id=CR1",{"id":18,"text":407,"url":18,"identifiers":18},"Azencott, R. 1994. Random and deterministic deformations applied to shape recognition. Cortona workshop, 10th-16th, Italy.",{"id":18,"text":409,"url":18,"identifiers":18},"citation_title=The free-form surface matching problem; citation_inbook_title=Machine Vision for Three-Dimensional Scenes (Workshop on Machine Vision-Acquirind and Interpreting the 3D Scene); citation_publication_date=1989; citation_pages=25-71; citation_id=CR3; citation_author=J.P. Besl; citation_publisher=Academic Press",{"id":18,"text":411,"url":18,"identifiers":18},"Bookstein, F.L. and Green W.D.K. 1993. A feature space for derivatives of deformations. In Information Processing in Medical Imaging (IPMI’93), H.H. Barett and A.F Gmitro (Eds.), Flagstaff, Arizona, vol. 687 of Lecture Notes in Computer Science, Springer-Verlag, pp. 1-16.",{"id":18,"text":413,"url":18,"identifiers":18},"Chow, Y., Grenander, U., and Keenan, D.M. 1991. HANDS, A pattern Theoretical Study of Biological Shapes. Springer-Verlag.",{"id":18,"text":415,"url":18,"identifiers":18},"citation_journal_title=IEEE Transactions on Image Processing; citation_title=Deformable templates using large deformation kinematics; citation_author=G. Christensen, R.D. Rabbit, M.I. Miller; citation_volume=5; citation_issue=10; citation_publication_date=1996; citation_pages=1437-1447; citation_doi=10.1109\u002F83.536892; citation_id=CR6",{"id":18,"text":417,"url":18,"identifiers":18},"Lanitis, A., Taylor, C.J., and Cootes, T.F. 1995.Aunified approach to coding and interpreting face images. In Proc. 5th ICCV, pp. 368-373.",{"id":18,"text":419,"url":18,"identifiers":18},"citation_journal_title=Proc. of the National Academy of Science; citation_title=Mathematical textbook of deformable neuroanatomies; citation_author=M.I. Miller, G.E. Christensen, Y. Amit, U. Grenander; citation_volume=90; citation_publication_date=1993; citation_pages=11944-11948; citation_id=CR8",{"id":18,"text":421,"url":18,"identifiers":18},"Piccioni, M., Scarlatti, S., and Trouvé, A. A variational problem arising from speech recognition. Siam. J. Appl. Math., to appear.",{"id":18,"text":423,"url":18,"identifiers":18},"Ruprecht, D. and Müller, H. 1992. Image warping with scattered data interpolation methods. Research Report 443, Dortmunt University.",{"id":18,"text":425,"url":18,"identifiers":18},"Szeliski, R. and Coughlan, J. 1994. Hierarchical spline-based image registration. In IEEE Conf. on Computer Vision and Pattern Recognition (CVPR’94), Seattle, Washington, pp. 194-201.",{"id":18,"text":427,"url":18,"identifiers":18},"Trouvé, A. 1995a. An approach of pattern recognition through infi-nite dimensional group actions. Rapport de recherche du LMENS.",{"id":18,"text":429,"url":18,"identifiers":18},"Trouvé, A. 1995b. An infinite dimensional group approach for physics based models in pattern recognition. Preprint.",{"id":18,"text":431,"url":18,"identifiers":18},"Younes, L. Computable elastic distance between shapes. Siam. J. Appl. Math., to appear.",{"id":433,"createTime":434,"updateTime":434,"relativeEntities":435,"slug":436,"properties":437,"entityType":48,"verifyStatus":17,"verifyTime":444,"verifyNote":445,"languages":446,"translateLanguages":18,"viewCount":19,"primaryUrl":447,"fullTextUrl":448,"authors":449,"publicationType":101,"publisherRelationship":471,"citationCount":18,"citationInfo":18,"publishDate":492,"publishYear":493,"citationAnalyzeStatus":17,"lastCitationAnalyze":18,"indexDatabases":494,"openAccess":18,"references":495,"isForceReanalyzing":177},"ed13fab2-e315-476c-ba56-2c23dec4ed40","2024-11-26T15:10:08.394+00:00",[],"Object-Pose-The-Link-between-Weak-Perspective-Paraperspective-and-Full-Perspective",{"title":438,"doi":440,"abstract":442},{"EN":439},"Object Pose: The Link between Weak Perspective, Paraperspective, and Full Perspective",{"VOID":441},"10.1023\u002FA:1007940112931",{"EN":443},"Recently, DeMenthon and Davis (1992, 1995) proposed a method for determining the pose of a 3-D object with respect to a camera from 3-D to 2-D point correspondences. The method consists of iteratively improving the pose computed with a weak perspective camera model to converge, at the limit, to a pose estimation computed with a perspective camera model. In this paper we give an algebraic derivation of DeMenthon and Davis' method and we show that it belongs to a larger class of methods where the perspective camera model is approximated either at zero order (weak perspective) or first order (paraperspective). We describe in detail an iterative paraperspective pose computation method for both non coplanar and coplanar object points. We analyse the convergence of these methods and we conclude that the iterative paraperspective method (proposed in this paper) has better convergence properties than the iterative weak perspective method. We introduce a simple way of taking into account the orthogonality constraint associated with the rotation matrix. We analyse the sensitivity to camera calibration errors and we define the optimal experimental setup with respect to imprecise camera calibration. We compare the results obtained with this method and with a non-linear optimization method.","2024-11-26T15:10:08.393+00:00","Author affiliation is blank",[52],"https:\u002F\u002Fdoi.org\u002F10.1023\u002FA:1007940112931","https:\u002F\u002Flink.springer.com\u002Fcontent\u002Fpdf\u002F10.1023\u002FA:1007940112931.pdf",[450,457,464],{"id":451,"sortIndex":19,"researcher":18,"roles":452,"affiliations":453,"properties":454,"displayName":456,"givenName":18,"familyName":18},"1cf83a5d-39cc-4464-a640-90a0cd49c4a3",[],[],{"title":455},{"EN":456},"Horaud, Radu",{"id":458,"sortIndex":27,"researcher":18,"roles":459,"affiliations":460,"properties":461,"displayName":463,"givenName":18,"familyName":18},"acd1b61f-268a-4b13-9da0-331e9002aea3",[],[],{"title":462},{"EN":463},"Dornaika, Fadi",{"id":465,"sortIndex":25,"researcher":18,"roles":466,"affiliations":467,"properties":468,"displayName":470,"givenName":18,"familyName":18},"fb4e061b-1f72-4fe9-98d5-191e62862197",[],[],{"title":469},{"EN":470},"Lamiroy, Bart",{"url":18,"publisher":472,"properties":485},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":473,"slug":10,"properties":474,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":477,"manageAffiliations":478,"indexDatabases":479,"url":18,"thumbnailPath":18,"statistic":480,"gsStatistic":18,"type":30,"analyzePriority":18},[],{"issn":475,"title":476},{"VOID":13},{"VOID":15},[],[],[],{"impactFactor":19,"impactFactorByYear":481,"i10Index":19,"i10IndexLast5Year":19,"totalPublication":25,"totalPublicationByYear":482,"totalCitation":19,"totalCitationByYear":483,"totalCitationPerPublication":19,"totalCitationPerPublicationByYear":484,"hindexLast5Year":19,"hindex":19},{},{"1999":27,"2003":27},{},{},{"issue":486,"pages":488,"volume":490},{"VOID":487},"2",{"VOID":489},"173-189",{"VOID":491},"22","1997-03-01",1997,[],[496,498,500,502,504,506,508,510,512,514,516,518,520,522,524,526,528,530,532],{"id":18,"text":497,"url":18,"identifiers":18},"citation_journal_title=Image and Vision Computing; citation_title=Perspective approximations; citation_author=Y. 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Ph.D. thesis, Universitè Joseph Fourier-Grenoble I, Laboratoire TIMC\u002FIMAG.",{"id":18,"text":503,"url":18,"identifiers":18},"citation_title=Model-based object pose in 25 lines of code; citation_inbook_title=Computer Vision-ECCV 92, Proceedings Second European Conference on Computer Vision; citation_publication_date=1992; citation_pages=335-343; citation_id=CR4; citation_author=D.F. DeMenthon; citation_author=L.S. Davis; citation_publisher=Springer Verlag",{"id":18,"text":505,"url":18,"identifiers":18},"citation_journal_title=International Journal of Computer Vision; citation_title=Model-based object pose in 25 lines of code; citation_author=D.F. DeMenthon, L.S. 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Gros; citation_publisher=Raleigh",{"id":18,"text":515,"url":18,"identifiers":18},"citation_journal_title=IEEE Transactions on Systems, Man, and Cybernetics; citation_title=Pose estimation from corresponding point data; citation_author=R.B. Haralick, H. Joo, C.-N. Lee, X. Zhuang, V.G. Vaidya, M.B. Kim; citation_volume=19; citation_issue=6; citation_publication_date=1989; citation_pages=1426-1445; citation_id=CR10",{"id":18,"text":517,"url":18,"identifiers":18},"citation_journal_title=Computer Vision, Graphics, and Image Processing; citation_title=An analytic solution for the perspective 4-point problem; citation_author=R. Horaud, B. Conio, O. Leboulleux, B. Lacolle; citation_volume=47; citation_issue=1; citation_publication_date=1989; citation_pages=33-44; citation_id=CR11",{"id":18,"text":519,"url":18,"identifiers":18},"Horaud, R., Dornaika, F., Bard, C., and Espiau, B. 1995. Visually guided object grasping. Technical report, INRIA. Submitted to IEEE Trans. on Robotics & Automation.",{"id":18,"text":521,"url":18,"identifiers":18},"citation_journal_title=IEEE Transactions on Pattern Analysis and Machine Intelligence; citation_title=Fitting parameterized three-dimensional models to images; citation_author=D. Lowe; citation_volume=13; citation_issue=5; citation_publication_date=1991; citation_pages=441-450; citation_id=CR13",{"id":18,"text":523,"url":18,"identifiers":18},"citation_title=Iterative pose estimation using coplanar feature points; citation_inbook_title=Proceedings Computer Vision and Pattern Recognition; citation_publication_date=1993; citation_pages=626-627; citation_id=CR14; citation_author=D. Oberkampf; citation_author=D.F. DeMenthon; citation_author=L.S. 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Yuan; citation_volume=5; citation_issue=2; citation_publication_date=1989; citation_pages=129-142; citation_id=CR19",{"id":535,"createTime":536,"updateTime":536,"relativeEntities":537,"slug":538,"properties":539,"entityType":48,"verifyStatus":17,"verifyTime":536,"verifyNote":445,"languages":546,"translateLanguages":18,"viewCount":19,"primaryUrl":547,"fullTextUrl":548,"authors":549,"publicationType":101,"publisherRelationship":557,"citationCount":18,"citationInfo":18,"publishDate":577,"publishYear":124,"citationAnalyzeStatus":17,"lastCitationAnalyze":18,"indexDatabases":578,"openAccess":18,"references":579,"isForceReanalyzing":177},"d4e93852-547a-4191-a518-b42ff63fe236","2024-10-06T16:51:59.383+00:00",[],"Are-Edges-Incomplete-",{"title":540,"doi":542,"abstract":544},{"EN":541},"Are Edges Incomplete?",{"VOID":543},"10.1023\u002FA:1008183703117",{"EN":545},"We address the problem of computing a general-purpose early visual representation that satisfies two criteria. 1) Explicitness: To be more useful than the original pixel array, the representation must take a significant step toward making important image structure explicit. 2) Completeness: To support a diverse set of high-level tasks, the representation must not discard information of potential perceptual relevance. The most prevalent representation in image processing and computer vision that satisfies the completeness criterion is the wavelet code. In this paper, we propose a very different code which represents the location of each edge and the magnitude and blur scale of the underlying intensity change. By making edge structure explicit, we argue that this representation better satisfies the first criterion than do wavelet codes. To address the second criterion, we study the question of how much visual information is lost in the representation. We report a novel method for inverting the edge code to reconstruct a perceptually accurate estimate of the original image, and thus demonstrate that the proposed representation embodies virtually all of the perceptually relevant information contained in a natural image. This result bears on recent claims that edge representations do not contain all of the information needed for higher level tasks.",[52],"https:\u002F\u002Fdoi.org\u002F10.1023\u002FA:1008183703117","https:\u002F\u002Flink.springer.com\u002Fcontent\u002Fpdf\u002F10.1023\u002FA:1008183703117.pdf",[550],{"id":551,"sortIndex":19,"researcher":18,"roles":552,"affiliations":553,"properties":554,"displayName":556,"givenName":18,"familyName":18},"51a4ede4-4258-4899-95a8-1d1c0c9d66d2",[],[],{"title":555},{"EN":556},"Elder, James H.",{"url":18,"publisher":558,"properties":571},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":559,"slug":10,"properties":560,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":563,"manageAffiliations":564,"indexDatabases":565,"url":18,"thumbnailPath":18,"statistic":566,"gsStatistic":18,"type":30,"analyzePriority":18},[],{"issn":561,"title":562},{"VOID":13},{"VOID":15},[],[],[],{"impactFactor":19,"impactFactorByYear":567,"i10Index":19,"i10IndexLast5Year":19,"totalPublication":25,"totalPublicationByYear":568,"totalCitation":19,"totalCitationByYear":569,"totalCitationPerPublication":19,"totalCitationPerPublicationByYear":570,"hindexLast5Year":19,"hindex":19},{},{"1999":27,"2003":27},{},{},{"issue":572,"pages":573,"volume":575},{"VOID":487},{"VOID":574},"97-122",{"VOID":576},"34","1999-08-01",[],[580,582,584,586,588,590,592,594,596,598,600,602,604,606,608,610,612,614,616,618,620,622,624,626,628,630,632,634,636,638,640,642,644,646,648,650,652,654,656,658,660,662,664,666,668,670,672,674,676,678,680,682,684,686,688,690,692,694],{"id":18,"text":581,"url":18,"identifiers":18},"citation_title=The plenoptic function and the elements of early vision; citation_inbook_title=Computational Models of Visual Processing; citation_publication_date=1991; citation_id=CR1; citation_author=E. 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