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Volumn 3, Issue 1, 2009, Pages 159-169

A simple regularizer for B-spline nonrigid image registration that encourages local invertibility

Author keywords

B splines; Local invertibility sufficient conditions; Nonrigid image registration; Penalty method; Thorax CT images

Indexed keywords

COMPUTERIZED TOMOGRAPHY; CONSTRAINED OPTIMIZATION; DEFORMATION; MEDICAL IMAGING; SHIP PROPELLERS; SPLINES; THREE DIMENSIONAL; TRAJECTORIES;

EID: 62349142551     PISSN: 19324553     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSTSP.2008.2011116     Document Type: Article
Times cited : (67)

References (35)
  • 1
    • 34249738006 scopus 로고    scopus 로고
    • Model-based respiratory motion compensation for emission tomography image reconstruction
    • Jun
    • M. Reyes, G. Malandain, P. M. Koulibaly, M. A. Gonzalez-Ballester, and J. Darcourt, "Model-based respiratory motion compensation for emission tomography image reconstruction," Phys. Med. Biol., vol. 52, no. 12, pp. 3579-3600, Jun. 2007.
    • (2007) Phys. Med. Biol , vol.52 , Issue.12 , pp. 3579-3600
    • Reyes, M.1    Malandain, G.2    Koulibaly, P.M.3    Gonzalez-Ballester, M.A.4    Darcourt, J.5
  • 2
    • 33746512521 scopus 로고    scopus 로고
    • F. Qiao, T. Pan, J. W. C. Jr, and O. R. Mawlawi, A motion-incorporated reconstruction method for gated PET studies, Phys. Med. Biol., 51, no. 15, pp. 3769-3783, Aug. 2006.
    • F. Qiao, T. Pan, J. W. C. Jr, and O. R. Mawlawi, "A motion-incorporated reconstruction method for gated PET studies," Phys. Med. Biol., vol. 51, no. 15, pp. 3769-3783, Aug. 2006.
  • 3
    • 34247281725 scopus 로고    scopus 로고
    • Respiratory motion correction for PET oncology applications using affine transformation of list mode data
    • Jan
    • F. Lamare, T. Cresson, J. Savean, C. C. L. Rest, A. J. Reader, and D. Visvikis, "Respiratory motion correction for PET oncology applications using affine transformation of list mode data," Phys. Med. Biol., vol. 52, no. 1, pp. 121-140, Jan. 2007.
    • (2007) Phys. Med. Biol , vol.52 , Issue.1 , pp. 121-140
    • Lamare, F.1    Cresson, T.2    Savean, J.3    Rest, C.C.L.4    Reader, A.J.5    Visvikis, D.6
  • 4
    • 36048972941 scopus 로고    scopus 로고
    • List-mode-based reconstruction for respiratory motion correction in PET using non-rigid body transformations
    • Sept
    • F. Lamare, M. J. L. Carbayo, T. Cresson, G. Kontaxakis, A. Santos, C. C. L. Rest, A. J. Reader, and D. Visvikis, "List-mode-based reconstruction for respiratory motion correction in PET using non-rigid body transformations," Phys. Med. Biol., vol. 52, no. 17, pp. 5187-5204, Sept. 2007.
    • (2007) Phys. Med. Biol , vol.52 , Issue.17 , pp. 5187-5204
    • Lamare, F.1    Carbayo, M.J.L.2    Cresson, T.3    Kontaxakis, G.4    Santos, A.5    Rest, C.C.L.6    Reader, A.J.7    Visvikis, D.8
  • 5
    • 33748102449 scopus 로고    scopus 로고
    • Estimation of images and non-rigid deformations in gated emission CT
    • Sep
    • B. A. Mair, D. R. Gilland, and J. Sun, "Estimation of images and non-rigid deformations in gated emission CT," IEEE Trans. Med. Imag. vol. 25, no. 9, pp. 1130-1144, Sep. 2006.
    • (2006) IEEE Trans. Med. Imag , vol.25 , Issue.9 , pp. 1130-1144
    • Mair, B.A.1    Gilland, D.R.2    Sun, J.3
  • 6
    • 33750960857 scopus 로고    scopus 로고
    • Joint estimation of respiratory motion and activity in 4D PET using CT side information
    • M. W. Jacobson and J. A. Fessler, "Joint estimation of respiratory motion and activity in 4D PET using CT side information," in Proc. IEEE Int. Symp. Biomedical Imaging, 2006, pp. 275-278.
    • (2006) Proc. IEEE Int. Symp. Biomedical Imaging , pp. 275-278
    • Jacobson, M.W.1    Fessler, J.A.2
  • 7
    • 33847656632 scopus 로고    scopus 로고
    • Estimating 3-D respiratory motion from orbiting views by tomographic image registration
    • Feb
    • R. Zeng, J. A. Fessler, and J. M. Balter, "Estimating 3-D respiratory motion from orbiting views by tomographic image registration," IEEE Trans. Med. Imag., vol. 26, no. 2, pp. 153-163, Feb. 2007.
    • (2007) IEEE Trans. Med. Imag , vol.26 , Issue.2 , pp. 153-163
    • Zeng, R.1    Fessler, J.A.2    Balter, J.M.3
  • 8
    • 14044270157 scopus 로고    scopus 로고
    • Non-rigid image registration: Theory and practice
    • W. R. Crum, T. Hartkrns, and D. L. G. Hill, "Non-rigid image registration: Theory and practice," Brit. J. Radiol., vol. 77, pp. S140-S153, 2004.
    • (2004) Brit. J. Radiol , vol.77
    • Crum, W.R.1    Hartkrns, T.2    Hill, D.L.G.3
  • 9
    • 37549005928 scopus 로고    scopus 로고
    • A review of geometric transformations for nonrigid body registration
    • M. Holden, "A review of geometric transformations for nonrigid body registration," IEEE Trans. Med. Imag., vol. 27, pp. 111-128, 2008.
    • (2008) IEEE Trans. Med. Imag , vol.27 , pp. 111-128
    • Holden, M.1
  • 10
    • 0031096250 scopus 로고    scopus 로고
    • Spline-based image registration
    • R. Szeliski and J. Coughlan, "Spline-based image registration," Int. J. Comput. Vis., vol. 22, no. 3, pp. 199-218, 1997.
    • (1997) Int. J. Comput. Vis , vol.22 , Issue.3 , pp. 199-218
    • Szeliski, R.1    Coughlan, J.2
  • 11
    • 0002999362 scopus 로고    scopus 로고
    • Splines: A perfect fit for signal and image processing
    • Nov
    • M. Unser, "Splines: A perfect fit for signal and image processing," IEEE Signal Process. Mag., vol. 16, no. 6, pp. 22-38, Nov. 1999.
    • (1999) IEEE Signal Process. Mag , vol.16 , Issue.6 , pp. 22-38
    • Unser, M.1
  • 12
    • 0242468065 scopus 로고    scopus 로고
    • Fast parametric elastic image registration
    • Nov
    • J. Kybic and M. Unser, "Fast parametric elastic image registration," IEEE Trans. Image Process., vol. 12, no. 11, pp. 1427-1442, Nov. 2003.
    • (2003) IEEE Trans. Image Process , vol.12 , Issue.11 , pp. 1427-1442
    • Kybic, J.1    Unser, M.2
  • 13
    • 0033169211 scopus 로고    scopus 로고
    • Nonrigid registration using free-form deformations: Application to breast MR images
    • Aug
    • D. Rueckert, L. I. Sonoda, C. Hayes, D. L. Hill, M. O. Leach, and D. J. Hawkes, "Nonrigid registration using free-form deformations: Application to breast MR images," IEEE Trans. Med. Imag., vol. 18, no. 8, pp. 712-721, Aug. 1999.
    • (1999) IEEE Trans. Med. Imag , vol.18 , Issue.8 , pp. 712-721
    • Rueckert, D.1    Sonoda, L.I.2    Hayes, C.3    Hill, D.L.4    Leach, M.O.5    Hawkes, D.J.6
  • 14
    • 16444377760 scopus 로고    scopus 로고
    • Elastic registration of biological images using vector-spline regularization
    • Apr
    • C. Sánchez Sorzano, P. Thévenaz, and M. Unser, "Elastic registration of biological images using vector-spline regularization," IEEE Trans. Biomed. Eng., vol. 52, no. 4, pp. 652-663, Apr. 2005.
    • (2005) IEEE Trans. Biomed. Eng , vol.52 , Issue.4 , pp. 652-663
    • Sánchez Sorzano, C.1    Thévenaz, P.2    Unser, M.3
  • 15
    • 0042405180 scopus 로고    scopus 로고
    • T. Rohlfing, C. R. M. Jr., D. A. Bluemke, and M. A. Jacobs, preserving non-rigid registration of MR breast images using free-form deformation with an incompressibility constraint, IEEE Trans. Med. Imag., 22, no. 6, pp. 730-741, Jun. 2003.
    • T. Rohlfing, C. R. M. Jr., D. A. Bluemke, and M. A. Jacobs, "Volume-preserving non-rigid registration of MR breast images using free-form deformation with an incompressibility constraint," IEEE Trans. Med. Imag., vol. 22, no. 6, pp. 730-741, Jun. 2003.
  • 16
    • 0033624994 scopus 로고    scopus 로고
    • Unwarping of unidirectionally distorted EPI images
    • Feb
    • J. Kybic, P. Thévenaz, A. Nirkko, and M. Unser, "Unwarping of unidirectionally distorted EPI images," IEEE Trans. Med. Imag., vol. 19, no. 2, pp. 80-93, Feb. 2000.
    • (2000) IEEE Trans. Med. Imag , vol.19 , Issue.2 , pp. 80-93
    • Kybic, J.1    Thévenaz, P.2    Nirkko, A.3    Unser, M.4
  • 17
    • 41649090383 scopus 로고    scopus 로고
    • A fast nonrigid image registration with constraints on the Jacobian using large scale constrained optimization
    • Feb
    • M. Sdika, "A fast nonrigid image registration with constraints on the Jacobian using large scale constrained optimization," IEEE Trans. Med. Imag., vol. 27, no. 2, pp. 271-281, Feb. 2008.
    • (2008) IEEE Trans. Med. Imag , vol.27 , Issue.2 , pp. 271-281
    • Sdika, M.1
  • 18
    • 0035399064 scopus 로고    scopus 로고
    • Topology preserving deformable image matching using constrained hierarchical parametric models
    • Jul
    • O. Musse, F. Heitz, and J. Armspach, "Topology preserving deformable image matching using constrained hierarchical parametric models," IEEE Trans. Image Process., vol. 10, no. 7, pp. 1081-1093, Jul. 2001.
    • (2001) IEEE Trans. Image Process , vol.10 , Issue.7 , pp. 1081-1093
    • Musse, O.1    Heitz, F.2    Armspach, J.3
  • 19
    • 7044231907 scopus 로고    scopus 로고
    • Estimating topology preserving and smooth displacement fields
    • Jul
    • B. Karacali and C. Davatzikos, "Estimating topology preserving and smooth displacement fields," IEEE Trans. Med. Imag., vol. 23, no. 7, pp. 868-880, Jul. 2004.
    • (2004) IEEE Trans. Med. Imag , vol.23 , Issue.7 , pp. 868-880
    • Karacali, B.1    Davatzikos, C.2
  • 20
    • 12844270528 scopus 로고    scopus 로고
    • 3-D deformable image registration: A topology preservation scheme based on hierarchical deformation models and interval analysis optimization
    • May
    • V. Noblet, C. Heinrich, F. Heitz, and J. Armspach, "3-D deformable image registration: A topology preservation scheme based on hierarchical deformation models and interval analysis optimization," IEEE Trans. Image Process., vol. 14, no. 5, pp. 553-566, May 2005.
    • (2005) IEEE Trans. Image Process , vol.14 , Issue.5 , pp. 553-566
    • Noblet, V.1    Heinrich, C.2    Heitz, F.3    Armspach, J.4
  • 21
    • 0034321713 scopus 로고    scopus 로고
    • Injectivity conditions of 2D and 3D uniform cubic B-spline functions
    • Y. Choi and S. Lee, "Injectivity conditions of 2D and 3D uniform cubic B-spline functions," Graph. Models, vol. 62, no. 6, pp. 411-427, 2000.
    • (2000) Graph. Models , vol.62 , Issue.6 , pp. 411-427
    • Choi, Y.1    Lee, S.2
  • 23
    • 0344033872 scopus 로고    scopus 로고
    • The adaptive bases algorithm for intensity-based nonrigid image registration
    • Nov
    • G. K. Rohde, A. Aldroubi, and B. M. Dawant, "The adaptive bases algorithm for intensity-based nonrigid image registration," IEEE Trans. Med. Imag., vol. 22, no. 11, pp. 1470-1479, Nov. 2003.
    • (2003) IEEE Trans. Med. Imag , vol.22 , Issue.11 , pp. 1470-1479
    • Rohde, G.K.1    Aldroubi, A.2    Dawant, B.M.3
  • 24
    • 62349120118 scopus 로고    scopus 로고
    • Nonrigid image registration using constrained optimization
    • J. Kim and J. A. Fessler, "Nonrigid image registration using constrained optimization," in SIAM Conf. Imaging Science, 2004.
    • (2004) SIAM Conf. Imaging Science
    • Kim, J.1    Fessler, J.A.2
  • 25
    • 9244252982 scopus 로고    scopus 로고
    • Intensity Based Image Registration Using Robust Similarity Measure and Constrained Optimization: Applications for Radiation Therapy,
    • Ph.D. dissertation, Univ. Michigan, Ann Arbor, MI
    • J. Kim, "Intensity Based Image Registration Using Robust Similarity Measure and Constrained Optimization: Applications for Radiation Therapy," Ph.D. dissertation, Univ. Michigan, Ann Arbor, MI, 2004.
    • (2004)
    • Kim, J.1
  • 26
    • 40049098498 scopus 로고    scopus 로고
    • Non-rigid image registration using constrained optimization (korean)
    • J. Kim, "Non-rigid image registration using constrained optimization (korean)," J. Korean Inform. Commun., vol. 29, no. 10C, pp. 1402-1413, 2004.
    • (2004) J. Korean Inform. Commun , vol.29 , Issue.10 C , pp. 1402-1413
    • Kim, J.1
  • 27
    • 51049089726 scopus 로고    scopus 로고
    • Regularized methods for topology-preserving smooth nonrigid image registration using B-spline basis
    • S. Y. Chun and J. A. Fessler, "Regularized methods for topology-preserving smooth nonrigid image registration using B-spline basis," in Proc. IEEE Int. Symp. Biomedical Imaging, 2008, pp. 1099-1102.
    • (2008) Proc. IEEE Int. Symp. Biomedical Imaging , pp. 1099-1102
    • Chun, S.Y.1    Fessler, J.A.2
  • 29
    • 0026122598 scopus 로고
    • Fast B-spline transforms for continuous image representation and interpolation
    • Mar
    • M. Unser, A. Aldroubi, and M. Eden, "Fast B-spline transforms for continuous image representation and interpolation," IEEE Trans. Pattern Ana. Mach. Intell., vol. 13, no. 3, pp. 277-285, Mar. 1991.
    • (1991) IEEE Trans. Pattern Ana. Mach. Intell , vol.13 , Issue.3 , pp. 277-285
    • Unser, M.1    Aldroubi, A.2    Eden, M.3
  • 30
    • 0027541354 scopus 로고
    • B-spline signal processing: Part I-Theory
    • Feb
    • M. Unser, A. Aldroubi, and M. Eden, "B-spline signal processing: Part I-Theory," IEEE Trans. Signal Process., vol. 41, no. 2, pp. 821-833, Feb. 1993.
    • (1993) IEEE Trans. Signal Process , vol.41 , Issue.2 , pp. 821-833
    • Unser, M.1    Aldroubi, A.2    Eden, M.3
  • 31
    • 0027542457 scopus 로고
    • B-spline signal processing: Part II-Efficient design and applications
    • Feb
    • M. Unser, A. Aldroubi, and M. Eden, "B-spline signal processing: Part II-Efficient design and applications," IEEE Trans. Signal Process. vol. 41, no. 2, pp. 834-848, Feb. 1993.
    • (1993) IEEE Trans. Signal Process , vol.41 , Issue.2 , pp. 834-848
    • Unser, M.1    Aldroubi, A.2    Eden, M.3
  • 33
    • 0035384866 scopus 로고    scopus 로고
    • Consistent image registration
    • Jul
    • G. E. Christensen and H. J. Johnson, "Consistent image registration," IEEE Trans. Med. Imag., vol. 20, no. 7, pp. 568-82, Jul. 2001.
    • (2001) IEEE Trans. Med. Imag , vol.20 , Issue.7 , pp. 568-582
    • Christensen, G.E.1    Johnson, H.J.2
  • 34
    • 33745124391 scopus 로고    scopus 로고
    • Nonrigid registration using regularization that accomodates local tissue rigidity
    • D. Ruan, J. A. Fessler, M. Roberson, J. Balter, and M. Kessler, "Nonrigid registration using regularization that accomodates local tissue rigidity," in Proc. SPIE, 2006, vol. 6144, pp. 346-354.
    • (2006) Proc. SPIE , vol.6144 , pp. 346-354
    • Ruan, D.1    Fessler, J.A.2    Roberson, M.3    Balter, J.4    Kessler, M.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.