메뉴 건너뛰기




Volumn 99, Issue 1, 2012, Pages 1-24

TILT: Transform invariant low-rank textures

Author keywords

Image rectification; Low rank texture; Rank minimization; Robust PCA; Shape from texture; Sparse errors; Symmetry; Transform invariant

Indexed keywords

2D IMAGES; 3D SCENES; BUILDING FACADES; HIGH-DIMENSIONAL; HUMAN FACES; IMAGE RECTIFICATION; LOCAL FEATURE; LOW-RANK MATRICES; MAN MADE OBJECTS; PLANAR REGION; PRINTED TEXTS; ROBUST PCA; SHAPE FROM TEXTURE; SYMMETRIC PATTERNS; SYMMETRICAL PATTERN; URBAN ENVIRONMENTS;

EID: 84862826891     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-012-0515-x     Document Type: Article
Times cited : (261)

References (57)
  • 1
    • 1542285823 scopus 로고    scopus 로고
    • Lucas-Kanade 20 years on: A unifying framework
    • 10.1023/B:VISI.0000011205.11775.fd
    • S. Baker I. Matthews 2004 Lucas-Kanade 20 years on: A unifying framework International Journal of Computer Vision 56 3 221 255 10.1023/B:VISI.0000011205. 11775.fd
    • (2004) International Journal of Computer Vision , vol.56 , Issue.3 , pp. 221-255
    • Baker, S.1    Matthews, I.2
  • 2
    • 84856004485 scopus 로고    scopus 로고
    • Templates for convex cone problems with applications to sparse signal recovery
    • 2833262 10.1007/s12532-011-0029-5
    • S. Becker E. Candès M. Grant 2011 Templates for convex cone problems with applications to sparse signal recovery Mathematical Programming Computation 3 3 165 218 2833262 10.1007/s12532-011-0029-5
    • (2011) Mathematical Programming Computation , vol.3 , Issue.3 , pp. 165-218
    • Becker, S.1    Candès, E.2    Grant, M.3
  • 4
    • 77951291046 scopus 로고    scopus 로고
    • A singular value thresholding algorithm for matrix completion
    • 2600248 1201.90155 10.1137/080738970
    • J. Cai E. Candès Z. Shen 2010 A singular value thresholding algorithm for matrix completion SIAM Journal on Optimization 20 4 1956 1982 2600248 1201.90155 10.1137/080738970
    • (2010) SIAM Journal on Optimization , vol.20 , Issue.4 , pp. 1956-1982
    • Cai, J.1    Candès, E.2    Shen, Z.3
  • 5
    • 71049116435 scopus 로고    scopus 로고
    • Exact matrix completion via convex optimization
    • 2565240 1219.90124 10.1007/s10208-009-9045-5
    • E. Candès B. Recht 2009 Exact matrix completion via convex optimization Foundations of Computational Mathematics 9 6 717 772 2565240 1219.90124 10.1007/s10208-009-9045-5
    • (2009) Foundations of Computational Mathematics , vol.9 , Issue.6 , pp. 717-772
    • Candès, E.1    Recht, B.2
  • 6
    • 77951528523 scopus 로고    scopus 로고
    • The power of convex relaxation: Near-optimal matrix completion
    • 10.1109/TIT.2010.2044061
    • E. Candès T. Tao 2010 The power of convex relaxation: Near-optimal matrix completion IEEE Transactions on Information Theory 56 5 2053 2080 10.1109/TIT.2010.2044061
    • (2010) IEEE Transactions on Information Theory , vol.56 , Issue.5 , pp. 2053-2080
    • Candès, E.1    Tao, T.2
  • 7
    • 79960675858 scopus 로고    scopus 로고
    • Robust principal component analysis?
    • 10.1145/1970392.1970395
    • E. Candès X. Li Y. Ma J. Wright 2011 Robust principal component analysis? Journal of the ACM 58 3 11:1 11:37 10.1145/1970392.1970395
    • (2011) Journal of the ACM , vol.58 , Issue.3 , pp. 111-1137
    • Candès, E.1    Li, X.2    Ma, Y.3    Wright, J.4
  • 9
    • 79960591511 scopus 로고    scopus 로고
    • Rank-sparsity incoherence for matrix decomposition
    • 2817479 1226.90067 10.1137/090761793
    • V. Chandrasekaran S. Sanghavi P. Parrilo A. Willsky 2011 Rank-sparsity incoherence for matrix decomposition SIAM Journal on Optimization 21 2 572 596 2817479 1226.90067 10.1137/090761793
    • (2011) SIAM Journal on Optimization , vol.21 , Issue.2 , pp. 572-596
    • Chandrasekaran, V.1    Sanghavi, S.2    Parrilo, P.3    Willsky, A.4
  • 11
    • 0028381453 scopus 로고
    • Rotation and gray scale transform invariant texture identification using wavelet decomposition and hidden Markov model
    • 10.1109/34.273730
    • J. L. Chen A. Kundu 1994 Rotation and gray scale transform invariant texture identification using wavelet decomposition and hidden Markov model IEEE Transactions on Pattern Analysis and Machine Intelligence 16 2 208 214 10.1109/34.273730
    • (1994) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.16 , Issue.2 , pp. 208-214
    • Chen, J.L.1    Kundu, A.2
  • 12
    • 0026103931 scopus 로고
    • Classification of rotated and scaled texture images using Gaussian Markov random field models
    • 10.1109/34.67648
    • F. Cohen Z. Fan M. Patel 1991 Classification of rotated and scaled texture images using Gaussian Markov random field models IEEE Transactions on Pattern Analysis and Machine Intelligence 13 192 202 10.1109/34.67648
    • (1991) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.13 , pp. 192-202
    • Cohen, F.1    Fan, Z.2    Patel, M.3
  • 13
    • 0001299358 scopus 로고
    • Strong uniqueness: A far-reaching criterion for the convergence analysis of iterative procedures
    • 461890 0352.65012 10.1007/BF01390337
    • L. Cromme 1978 Strong uniqueness: A far-reaching criterion for the convergence analysis of iterative procedures Numerische Mathematik 29 179 193 461890 0352.65012 10.1007/BF01390337
    • (1978) Numerische Mathematik , vol.29 , pp. 179-193
    • Cromme, L.1
  • 14
    • 0037001787 scopus 로고    scopus 로고
    • Rotation invariant texture characterization and retrieval using steerable wavelet-domain hidden Markov models
    • 10.1109/TMM.2002.802019
    • M. Do M Vetterli 2002 Rotation invariant texture characterization and retrieval using steerable wavelet-domain hidden Markov models IEEE Transactions on Multimedia 4 4 517 527 10.1109/TMM.2002.802019
    • (2002) IEEE Transactions on Multimedia , vol.4 , Issue.4 , pp. 517-527
    • Do, M.1    Vetterli, M.2
  • 15
    • 0027113845 scopus 로고
    • On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
    • 1168183 0765.90073 10.1007/BF01581204
    • J. Eckstein D. Bertsekas 1992 On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators Mathematical Programming 55 293 318 1168183 0765.90073 10.1007/BF01581204
    • (1992) Mathematical Programming , vol.55 , pp. 293-318
    • Eckstein, J.1    Bertsekas, D.2
  • 16
    • 0033283826 scopus 로고    scopus 로고
    • Transformed component analysis: Joint estimation of spatial transformations and image components
    • Frey, B., & Jojic, N. (1999). Transformed component analysis: Joint estimation of spatial transformations and image components. In Proc. of IEEE international conference on computer vision.
    • (1999) Proc. of IEEE International Conference on Computer Vision
    • Frey, B.1    Jojic, N.2
  • 17
    • 0002211517 scopus 로고
    • A dual algorithm for the solution of nonlinear variational problems via finite element approximations
    • 0352.65034 10.1016/0898-1221(76)90003-1
    • D. Gabay B. Mercier 1976 A dual algorithm for the solution of nonlinear variational problems via finite element approximations Computers and Mathematics with Applications 2 17 40 0352.65034 10.1016/0898-1221(76)90003-1
    • (1976) Computers and Mathematics with Applications , vol.2 , pp. 17-40
    • Gabay, D.1    Mercier, B.2
  • 19
    • 0030081076 scopus 로고    scopus 로고
    • Direct computation of shape cues using scale-adapted spatial derivative operators
    • J. Garding T. Lindeberg 1996 Direct computation of shape cues using scale-adapted spatial derivative operators International Journal of Computer Vision 17 2 163 191 10.1007/BF00058750 (Pubitemid 126713125)
    • (1996) International Journal of Computer Vision , vol.17 , Issue.2 , pp. 163-191
    • Garding, J.1    Lindeberg, T.2
  • 20
    • 0016536442 scopus 로고
    • Sur l'approximation, par elements finis d'ordre un, et la resolution, par penalisation-dualite, d'une classe de problemes de Dirichlet non lineares
    • R. Glowinski A. Marroco 1975 Sur l'approximation, par elements finis d'ordre un, et la resolution, par penalisation-dualite, d'une classe de problemes de Dirichlet non lineares Revuew Francaise d'Automatique, Informatique et Recherche Operationelle 9 41 76
    • (1975) Revuew Francaise d'Automatique, Informatique et Recherche Operationelle , vol.9 , pp. 41-76
    • Glowinski, R.1    Marroco, A.2
  • 22
    • 0033078773 scopus 로고    scopus 로고
    • Rotation-invariant texture classification using a complete space-frequency model
    • 10.1109/83.743859
    • G. Haley B. Manjunath 1999 Rotation-invariant texture classification using a complete space-frequency model IEEE Transactions on Image Processing 8 255 269 10.1109/83.743859
    • (1999) IEEE Transactions on Image Processing , vol.8 , pp. 255-269
    • Haley, G.1    Manjunath, B.2
  • 24
    • 58849137621 scopus 로고    scopus 로고
    • Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities
    • He, B. (2009). Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities. Computational Optimization and Applications, 42(2).
    • (2009) Computational Optimization and Applications , vol.42 , Issue.2
    • He, B.1
  • 25
    • 84865692854 scopus 로고    scopus 로고
    • Alternating direction method with Gaussian back substitution for separable convex programming
    • under-revision
    • He, B., Tao, M., & Yuan, X. (2011). Alternating direction method with Gaussian back substitution for separable convex programming. SIAM Journal on Optimization, under-revision.
    • (2011) SIAM Journal on Optimization
    • He, B.1    Tao, M.2    Yuan, X.3
  • 26
    • 0004972572 scopus 로고
    • Strong uniqueness and second order convergence in nonlinear discrete approximation
    • 577409 0486.65008 10.1007/BF01403680
    • K. Jittorntrum M. Osborne 1980 Strong uniqueness and second order convergence in nonlinear discrete approximation Numerische Mathematik 34 439 455 577409 0486.65008 10.1007/BF01403680
    • (1980) Numerische Mathematik , vol.34 , pp. 439-455
    • Jittorntrum, K.1    Osborne, M.2
  • 28
    • 27744537461 scopus 로고    scopus 로고
    • Extraction, matching, and pose recovery based on dominant rectangular structures
    • DOI 10.1016/j.cviu.2005.04.005, PII S1077314205000482
    • J. Kosecka W. Zhang 2005 Extraction, matching, and pose recovery based on dominant rectangular structures CVGIP. Image Understanding 100 3 274 293 (Pubitemid 41606295)
    • (2005) Computer Vision and Image Understanding , vol.100 , Issue.3 , pp. 274-293
    • Kosecka, J.1    Zhang, W.2
  • 30
    • 0035358496 scopus 로고    scopus 로고
    • Representing and recognizing the visual appearance of materials using three-dimensional textons
    • DOI 10.1023/A:1011126920638
    • T. Leung J. Malik 2001 Representing and recognizing the visual appearance of materials using three-dimensional textons International Journal of Computer Vision 43 1 29 44 0972.68606 10.1023/A:1011126920638 (Pubitemid 32720091)
    • (2001) International Journal of Computer Vision , vol.43 , Issue.1 , pp. 29-44
    • Leung, T.1    Malik, J.2
  • 31
    • 33845287619 scopus 로고    scopus 로고
    • Texture synthesis and nonparametric resampling of random fields
    • DOI 10.1214/009053606000000588
    • E. Levina P. J. Bickel 2006 Texture synthesis and non-parametric resampling of random fields Annals of Statistics 34 4 1751 1773 2283716 10.1214/009053606000000588 (Pubitemid 44875080)
    • (2006) Annals of Statistics , vol.34 , Issue.4 , pp. 1751-1773
    • Levina, E.1    Bickel, P.J.2
  • 35
    • 1342282159 scopus 로고    scopus 로고
    • A computational model for periodic pattern perception based on Frieze and wallpaper groups
    • 10.1109/TPAMI.2004.1262332
    • Y. Liu R. Collins Y. Tsin 2004 A computational model for periodic pattern perception based on Frieze and wallpaper groups IEEE Transactions on Pattern Analysis and Machine Intelligence 26 3 354 371 10.1109/TPAMI.2004.1262332
    • (2004) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.26 , Issue.3 , pp. 354-371
    • Liu, Y.1    Collins, R.2    Tsin, Y.3
  • 37
    • 3042535216 scopus 로고    scopus 로고
    • Distinctive image features from scale-invariant keypoints
    • 10.1023/B:VISI.0000029664.99615.94
    • D. G. Lowe 2004 Distinctive image features from scale-invariant keypoints International Journal of Computer Vision 60 91 110 10.1023/B:VISI.0000029664. 99615.94
    • (2004) International Journal of Computer Vision , vol.60 , pp. 91-110
    • Lowe, D.G.1
  • 40
    • 9644260534 scopus 로고    scopus 로고
    • Scale and affine invariant interest point descriptors
    • 10.1023/B:VISI.0000027790.02288.f2
    • K. Mikolajczyk C. Schmid 2004 Scale and affine invariant interest point descriptors International Journal of Computer Vision 60 1 63 86 10.1023/B:VISI.0000027790.02288.f2
    • (2004) International Journal of Computer Vision , vol.60 , Issue.1 , pp. 63-86
    • Mikolajczyk, K.1    Schmid, C.2
  • 43
    • 85018540432 scopus 로고    scopus 로고
    • ASIFT: A new framework for fully affine invariant image comparison
    • 2519919 1181.68252 10.1137/080732730
    • J. M. Morel G. Yu 2009 ASIFT: A new framework for fully affine invariant image comparison SIAM Journal on Imaging Sciences 2 2 438 469 2519919 1181.68252 10.1137/080732730
    • (2009) SIAM Journal on Imaging Sciences , vol.2 , Issue.2 , pp. 438-469
    • Morel, J.M.1    Yu, G.2
  • 48
    • 78549288866 scopus 로고    scopus 로고
    • Guaranteed minimum rank solution of matrix equations via nuclear norm minimization
    • 2680543 1198.90321 10.1137/070697835
    • B. Recht M. Fazel P. Parillo 2010 Guaranteed minimum rank solution of matrix equations via nuclear norm minimization SIAM Review 52 3 471 501 2680543 1198.90321 10.1137/070697835
    • (2010) SIAM Review , vol.52 , Issue.3 , pp. 471-501
    • Recht, B.1    Fazel, M.2    Parillo, P.3
  • 51
    • 78049448383 scopus 로고    scopus 로고
    • An accelerated proximal gradient algorithm for nuclear norm regularized least squares problems
    • 2743047 1205.90218
    • K. Toh S. Yun 2010 An accelerated proximal gradient algorithm for nuclear norm regularized least squares problems Pacific Journal of Optimization 6 615 640 2743047 1205.90218
    • (2010) Pacific Journal of Optimization , vol.6 , pp. 615-640
    • Toh, K.1    Yun, S.2
  • 53
    • 0030270664 scopus 로고    scopus 로고
    • Rotation and gray-scale transform-invariant texture classification using spiral resampling, subband decomposition and hidden Markov model
    • 10.1109/83.536891
    • W. R. Wu S. C. Wei 1996 Rotation and gray-scale transform-invariant texture classification using spiral resampling, subband decomposition and hidden Markov model IEEE Transactions on Image Processing 5 1423 1434 10.1109/83.536891
    • (1996) IEEE Transactions on Image Processing , vol.5 , pp. 1423-1434
    • Wu, W.R.1    Wei, S.C.2
  • 54
    • 19744370144 scopus 로고    scopus 로고
    • Symmetry-based 3-D reconstruction from perspective images
    • DOI 10.1016/j.cviu.2005.01.004, PII S1077314205000184
    • A. Yang K. Huang S. Rao Y. Ma 2005 Symmetry-based 3-D reconstruction from perspective images Computer Vision and Image Understanding 99 2 210 240 10.1016/j.cviu.2005.01.004 (Pubitemid 40744171)
    • (2005) Computer Vision and Image Understanding , vol.99 , Issue.2 , pp. 210-240
    • Yang, A.Y.1    Huang, K.2    Rao, S.3    Hong, W.4    Ma, Y.5
  • 55
    • 79957510064 scopus 로고    scopus 로고
    • Recovering low-rank and sparse components of matrices from incomplete and noisy observations
    • 2765489 1218.90115 10.1137/100781894
    • X. Yuan M. Tao 2011 Recovering low-rank and sparse components of matrices from incomplete and noisy observations SIAM Journal on Optimization 21 1 57 81 2765489 1218.90115 10.1137/100781894
    • (2011) SIAM Journal on Optimization , vol.21 , Issue.1 , pp. 57-81
    • Yuan, X.1    Tao, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.